Bonda

bonda

Freedom has long been humanity's most persistent pursuit, a flame that has illuminated civilizations, revolutions, and personal transformations. My own journey reflects this quest, marked by achievements, setbacks, and profound realizations about the true essence of freedom. Throughout my professional life, I’ve embraced a lifestyle that many would envy, enjoying the ability to work from anywhere at any time. This seemed like the ultimate expression of liberty. However, I’ve come to understand that external mobility does not equate to internal freedom. True sovereignty is far more nuanced and complex than mere geographical independence. One of the most painful lessons I’ve encountered is the danger of over-attachment. We often become enslaved not by external forces, but by our own desires, obsessions, and expectations. When something we deeply care about is suddenly taken away, we find ourselves vulnerable, our sense of self shattered. This, I realized, is not freedom; it is a bondage of the most insidious kind. True sovereignty lies in cultivating a sense of self that remains unbroken, regardless of external circumstances. It involves recognizing that our worth is not defined by what we own, but by our capacity to adapt, to rise, and to transform in the face of adversity. In my understanding, true freedom rests on three fundamental aspects of life. First is the sovereignty of time, which allows me to choose how I invest my most precious resource. Second is the sovereignty of location, granting me the freedom to shape my environment rather than being constrained by it. Lastly, there is the sovereignty of financial aspiration, empowering me to design my economic destiny without being limited by traditional constraints. To deepen my understanding of freedom, I have delved into historical narratives of civilizations and individuals who have pursued sovereignty. From the philosophical resistance of the Stoics to the revolutionary spirits of indigenous cultures, and from the intellectual rebellions of enlightenment thinkers to the economic pioneers of our modern era, each story offers valuable insights into the nature of true liberation. These historical journeys reveal that freedom is not a destination but a continuous process of learning, unlearning, and redefining our boundaries. Ironically, the path to sovereignty requires a profound understanding of what we can and cannot control. It demands a delicate balance between ambition and acceptance, between striving and surrendering. We must learn to hold our dreams lightly, pursuing them with passion but not desperation. Currently, my life’s trajectory is focused not on conquering external worlds but on exploring the intricate landscapes of human potential. It involves discovering how individuals can craft lives filled with meaning, impact, and genuine freedom. This journey is not solitary; it is a collective exploration. It is about connecting with fellow travelers who understand that true sovereignty is not about standing alone but about creating meaningful connections that amplify both individual and collective potential. As I navigate this path, I am guided by a simple yet profound understanding: freedom is not a state to be achieved but a continuous dance of adaptation, learning, and growth. And so, the journey continues... Freedom has long been humanity's most persistent pursuit, a flame that has illuminated civilizations, revolutions, and personal transformations. My own journey reflects this quest, marked by achievements, setbacks, and profound realizations about the true essence of freedom. Throughout my professional life, I’ve embraced a lifestyle that many would envy, enjoying the ability to work from anywhere at any time. This seemed like the ultimate expression of liberty. However, I’ve come to understand that external mobility does not equate to internal freedom. True sovereignty is far more nuanced and complex than mere geographical independence. One of the most painful lessons I’ve encountered is the danger of over-attachment. We often become enslaved not by external forces, but by our own desires, obsessions, and expectations. When something we deeply care about is suddenly taken away, we find ourselves vulnerable, our sense of self shattered. This, I realized, is not freedom; it is a bondage of the most insidious kind. True sovereignty lies in cultivating a sense of self that remains unbroken, regardless of external circumstances. It involves recognizing that our worth is not defined by what we own, but by our capacity to adapt, to rise, and to transform in the face of adversity. In my understanding, true freedom rests on three fundamental aspects of life. First is the sovereignty of time, which allows me to choose how I invest my most precious resource. Second is the sovereignty of location, granting me the freedom to shape my environment rather than being constrained by it. Lastly, there is the sovereignty of financial aspiration, empowering me to design my economic destiny without being limited by traditional constraints. To deepen my understanding of freedom, I have delved into historical narratives of civilizations and individuals who have pursued sovereignty. From the philosophical resistance of the Stoics to the revolutionary spirits of indigenous cultures, and from the intellectual rebellions of enlightenment thinkers to the economic pioneers of our modern era, each story offers valuable insights into the nature of true liberation. These historical journeys reveal that freedom is not a destination but a continuous process of learning, unlearning, and redefining our boundaries. Ironically, the path to sovereignty requires a profound understanding of what we can and cannot control. It demands a delicate balance between ambition and acceptance, between striving and surrendering. We must learn to hold our dreams lightly, pursuing them with passion but not desperation. Currently, my life’s trajectory is focused not on conquering external worlds but on exploring the intricate landscapes of human potential. It involves discovering how individuals can craft lives filled with meaning, impact, and genuine freedom. This journey is not solitary; it is a collective exploration. It is about connecting with fellow travelers who understand that true sovereignty is not about standing alone but about creating meaningful connections that amplify both individual and collective potential. As I navigate this path, I am guided by a simple yet profound understanding: freedom is not a state to be achieved but a continuous dance of adaptation, learning, and growth. And so, the journey continues...

The Long Road Home: A Story of Loss, Learning, and Renaissance - PART 2

Die Langpad Huistoe: 'n Verhaal van verlies, leer en Renaissance - DEEL 2

Der lange Weg nach Hause: Eine Geschichte von Verlust, Lernen und Renaissance – TEIL 2

El largo camino a casa: Una historia de pérdida, aprendizaje y renacimiento - PARTE 2

הדרך הארוכה הביתה: סיפור על אובדן, למידה ורנסנס - חלק 2

長い帰路: 喪失、学び、そして復興の物語 - パート 2

The Long Road Home: Kisah Kehilangan, Pembelajaran dan Renaissance - BAHAGIAN 2

د لونګ سړک کور: د لاسه ورکولو کیسه، زده کړه، او بیا رغونه - 2 برخه

Wasi Karu Ñan: Chinkaymanta, Yachaymanta, Renacimientomanta Willakuy - 2 kaq PARTE

Dlhá cesta domov: Príbeh o strate, učení a renesancii - ČASŤ 2

Роҳи дароз ба хона: Қиссаи талафот, омӯзиш ва эҳё - ҚИСМИ 2

Uzyn ýol öýi: ossitirmek, öwrenmek we galkynyş hakda hekaýa - 2-nji BÖLÜM

The Long Road Home: A Story of Loss, Learning, and Renaissance - BAHAGI 2

Table of Links Abstract


Introduction
Background
Reinforcement Learning
Similar Work


Methodology
DRLAgent Design


Training Procedures


Testing Procedures


Results


SABR Experiments


Conclusions


Appendix A


References REFERENCES Assa, H., C. Kenyon, and H. Zhang. 2021. “Assessing Reinforcement Delta Hedging.” SSRN SSRN 3918375. http://dx.doi.org/10.2139/ssrn.3918375. Black, F., and M. Scholes. 1973. “The Pricing of Options and Corporate Liabilities” 81 (3): 637– 54. https://doi.org/10.1086/260062. Cao, Jay, Jacky Chen, Soroush Farghadani, John Hull, Zissis Poulos, Zeyu Wang, and Jun Yuan. 2023. “Gamma and Vega Hedging Using Deep Distributional Reinforcement Learning.” Frontiers in Artificial Intelligence 6. https://www.frontiersin.org/articles/10.3389/frai.2023.1129370. Cao, Jay, Jacky Chen, John Hull, and Zissis Poulos. 2021. “Deep Hedging of Derivatives Using Reinforcement Learning.” The Journal of Financial Data Science 3 (1): 10–27. https://doi.org/10.3905/jfds.2020.1.052. Chebyshev, P. 1864. “Sur l’interpolation.” Zapiski Akademii Nauk 1 (4): 539–60. Du, Jiayi, Muyang Jin, Petter N. Kolm, Gordon Ritter, Yixuan Wang, and Bofei Zhang. 2020. “Deep Reinforcement Learning for Option Replication and Hedging.” The Journal of Financial Data Science 2 (4): 44–57. https://doi.org/10.3905/jfds.2020.1.045. Fathi, A., and B. Hientzsch. 2023. “A Comparison of Reinforcement Learning and Deep Trajectory Based Stochastic Control Agents for Stepwise Mean-Variance Hedging.” arXiv arXiv:2302.07996. Florescu, Ionuţ, and Cristian Gabriel Pãsãricã. 2009. “A Study about the Existence of the Leverage Effect in Stochastic Volatility Models.” Physica A: Statistical Mechanics and Its Applications 388 (4): 419–32. Giurca, B., and S. Borovkova. 2021. “Delta Hedging of Derivatives Using Deep Reinforcement Learning.” SSRN SSRN 3847272. https://ssrn.com/abstract=3847272. Glau, Kathrin, Micro Mahlstedt, and Christian Potz. 2018. “A New Approach for American Option Pricing: The Dynamic Chebyshev Method.” arXiv. https://doi.org/10.48550/arXiv.1806.05579. Hagan, Patrick, Deep Kumar, Andrew Lesniewski, and Diana Woodward. 2002. “Managing Smile Risk.” Wilmott Magazine 1 (January): 84–108. Halperin, Igor. 2017. “QLBS: Q-Learner in the Black-Scholes(-Merton) Worlds.” The Journal of Derivatives 28 (1): 99–122. https://doi.org/10.3905/jod.2020.1.108. Heston, Steven L. 1993. “A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options.” The Review of Financial Studies 6 (2): 327–43. Hull, John, 1946-. 2012. Options, Futures, and Other Derivatives. Eighth edition. Boston : Prentice Hall, [2012] ©2012. https://search.library.wisc.edu/catalog/9910112878402121. Kolm, Petter N., and Gordon Ritter. 2019. “Dynamic Replication and Hedging: A Reinforcement Learning Approach.” The Journal of Financial Data Science 1 (1): 159–71. https://doi.org/10.3905/jfds.2019.1.1.159. Lillicrap, Timothy, Johnathan J. Hunt, Alexander Pritzel, Nicolas Heess, Tom Erez, Yuval Tassa, David Silver, and Daan Wierstra. 2015. “Continuous Control with Deep Reinforcement Learning.” arXiv arXiv:1509.02971. https://doi.org/10.48550/arXiv.1509.02971. Lin, Long-Ji. 1992. “Self-Improving Reactive Agents Based on Reinforcement Learning, Planning and Teaching.” Machine Learning 8 (3): 293–321. https://doi.org/10.1007/BF00992699. Liu, Peng. 2023. “A Review on Derivative Hedging Using Reinforcement Learning.” The Journal of Financial Data Science. https://doi.org/10.3905/jfds.2023.1.124. Longstaff, Francis A., and Eduardo S. Schwartz. 2001. “Valuing American Options by Simulation: A Simple Least-Squares Approach.” UCLA: Finance. https://escholarship.org/uc/item/43n1k4jb. Mikkilä, Oskari, and Juho Kanniainen. 2023. “Empirical Deep Hedging.” Quantitative Finance 23 (1): 111–22. https://doi.org/10.1080/14697688.2022.2136037. Mnih, V., K. Kavukcuoglu, David Silver, A. Graves, I. Antonoglou, Daan Wierstra, and M. Riedmiller. 2013. “Playing Atari with Deep Reinforcement Learning.” arXiv arXiv:1312.5602. https://doi.org/10.48550/arXiv.1312.5602. Murray, Phillip, B. Wood, H. Buehler, Magnus Wiese, and Mikko Pakkanen. 2022. “Deep Hedging: Continuous Reinforcement Learning for Hedging of General Portfolios across Multiple Risk Aversions.” In ICAIF ’22: Proceedings of the Third ACM International Conference on AI in Finance, 361–68. Association for Computing Machinery. https://doi.org/10.1145/3533271.3561731. Pham, Uyen, Quoc Luu, and Hien Tran. 2021. “Multi-Agent Reinforcement Learning Approach for Hedging Portfolio Problem.” Soft Computing 25 (12): 7877–85. https://doi.org/10.1007/s00500-021-05801-6. Pickard, Reilly, and Yuri Lawryshyn. 2023. “Deep Reinforcement Learning for Dynamic Stock Option Hedging: A Review.” Mathematics 11 (24). https://doi.org/10.3390/math11244943. Silver, David, Aja Huang, Chris J. Maddison, Arthur Guez, Laurent Sifre, George van den Driessche, Julian Schrittwieser, et al. 2016. “Mastering the Game of Go with Deep Neural Networks and Tree Search.” Nature 529 (7587): 484–89. https://doi.org/10.1038/nature16961. Smith, Leslie N. 2018. “A Disciplined Approach to Neural Network Hyper-Parameters: Part 1 -- Learning Rate, Batch Size, Momentum, and Weight Decay.” https://doi.org/10.48550/arXiv.1803.09820. Sutton, Richard S., and Andrew G. Barto. 2018. Reinforcement Learning: An Introduction. A Bradford Book. Watkins, Christopher John Cornish Hellaby. 1989. “Learning from Delayed Rewards.” King’s College. https://www.cs.rhul.ac.uk/~chrisw/new_thesis.pdf. Xiao, B., W. Yao, and X. Zhou. 2021. “Optimal Option Hedging with Policy Gradient.” In 2021 International Conference on Data Mining Workshops (ICDMW), 1112–19. IEEE. https://doi.org/10.1109/ICDMW53433.2021.00145. Xu, Wei, and Bing Dai. 2022. “Delta-Gamma–Like Hedging with Transaction Cost under Reinforcement Learning Technique.” The Journal of Derivatives 29 (5): 60–82. https://doi.org/10.3905/jod.2022.1.156. Zheng, C., J. He, and C. Yang. 2023. “Option Dynamic Hedging Using Reinforcement Learning.” arXiv arXiv:2306.10743. Authors:
(1) Reilly Pickard, Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON M5S 3G8, Canada (reilly.pickard@mail.utoronto.ca);
(2) Finn Wredenhagen, Ernst & Young LLP, Toronto, ON, M5H 0B3, Canada;
(3) Julio DeJesus, Ernst & Young LLP, Toronto, ON, M5H 0B3, Canada;
(4) Mario Schlener, Ernst & Young LLP, Toronto, ON, M5H 0B3, Canada;
(5) Yuri Lawryshyn, Department of Chemical Engineering and Applied Chemistry, University of Toronto, Toronto, ON M5S 3E5, Canada. This paper is available on arxiv under CC BY-NC-SA 4.0 Deed (Attribution-Noncommercial-Sharelike 4.0 International) license. Table of Links Abstract Introduction
Background
Reinforcement Learning
Similar Work Methodology
DRLAgent Design Training Procedures Testing Procedures Results SABR Experiments Conclusions Appendix A References Abstract Abstract Abstract Introduction Background Reinforcement Learning Similar Work Introduction Background Background Reinforcement Learning Reinforcement Learning Similar Work Similar Work Methodology DRLAgent Design Methodology Methodology DRLAgent Design DRLAgent Design Training Procedures Training Procedures Training Procedures Testing Procedures Testing Procedures Testing Procedures Results Results Results SABR Experiments SABR Experiments SABR Experiments Conclusions Conclusions Conclusions Appendix A Appendix A Appendix A References References References REFERENCES Assa, H., C. Kenyon, and H. Zhang. 2021. “Assessing Reinforcement Delta Hedging.” SSRN SSRN 3918375. http://dx.doi.org/10.2139/ssrn.3918375. Black, F., and M. Scholes. 1973. “The Pricing of Options and Corporate Liabilities” 81 (3): 637– 54. https://doi.org/10.1086/260062. Cao, Jay, Jacky Chen, Soroush Farghadani, John Hull, Zissis Poulos, Zeyu Wang, and Jun Yuan. 2023. “Gamma and Vega Hedging Using Deep Distributional Reinforcement Learning.” Frontiers in Artificial Intelligence 6. https://www.frontiersin.org/articles/10.3389/frai.2023.1129370. Cao, Jay, Jacky Chen, John Hull, and Zissis Poulos. 2021. “Deep Hedging of Derivatives Using Reinforcement Learning.” The Journal of Financial Data Science 3 (1): 10–27. https://doi.org/10.3905/jfds.2020.1.052. Chebyshev, P. 1864. “Sur l’interpolation.” Zapiski Akademii Nauk 1 (4): 539–60. Du, Jiayi, Muyang Jin, Petter N. Kolm, Gordon Ritter, Yixuan Wang, and Bofei Zhang. 2020. “Deep Reinforcement Learning for Option Replication and Hedging.” The Journal of Financial Data Science 2 (4): 44–57. https://doi.org/10.3905/jfds.2020.1.045. Fathi, A., and B. Hientzsch. 2023. “A Comparison of Reinforcement Learning and Deep Trajectory Based Stochastic Control Agents for Stepwise Mean-Variance Hedging.” arXiv arXiv:2302.07996. Florescu, Ionuţ, and Cristian Gabriel Pãsãricã. 2009. “A Study about the Existence of the Leverage Effect in Stochastic Volatility Models.” Physica A: Statistical Mechanics and Its Applications 388 (4): 419–32. Giurca, B., and S. Borovkova. 2021. “Delta Hedging of Derivatives Using Deep Reinforcement Learning.” SSRN SSRN 3847272. https://ssrn.com/abstract=3847272. Glau, Kathrin, Micro Mahlstedt, and Christian Potz. 2018. “A New Approach for American Option Pricing: The Dynamic Chebyshev Method.” arXiv. https://doi.org/10.48550/arXiv.1806.05579. Hagan, Patrick, Deep Kumar, Andrew Lesniewski, and Diana Woodward. 2002. “Managing Smile Risk.” Wilmott Magazine 1 (January): 84–108. Halperin, Igor. 2017. “QLBS: Q-Learner in the Black-Scholes(-Merton) Worlds.” The Journal of Derivatives 28 (1): 99–122. https://doi.org/10.3905/jod.2020.1.108. Heston, Steven L. 1993. “A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options.” The Review of Financial Studies 6 (2): 327–43. Hull, John, 1946-. 2012. Options, Futures, and Other Derivatives. Eighth edition. Boston : Prentice Hall, [2012] ©2012. https://search.library.wisc.edu/catalog/9910112878402121. Kolm, Petter N., and Gordon Ritter. 2019. “Dynamic Replication and Hedging: A Reinforcement Learning Approach.” The Journal of Financial Data Science 1 (1): 159–71. https://doi.org/10.3905/jfds.2019.1.1.159. Lillicrap, Timothy, Johnathan J. Hunt, Alexander Pritzel, Nicolas Heess, Tom Erez, Yuval Tassa, David Silver, and Daan Wierstra. 2015. “Continuous Control with Deep Reinforcement Learning.” arXiv arXiv:1509.02971. https://doi.org/10.48550/arXiv.1509.02971. Lin, Long-Ji. 1992. “Self-Improving Reactive Agents Based on Reinforcement Learning, Planning and Teaching.” Machine Learning 8 (3): 293–321. https://doi.org/10.1007/BF00992699. Liu, Peng. 2023. “A Review on Derivative Hedging Using Reinforcement Learning.” The Journal of Financial Data Science. https://doi.org/10.3905/jfds.2023.1.124. Longstaff, Francis A., and Eduardo S. Schwartz. 2001. “Valuing American Options by Simulation: A Simple Least-Squares Approach.” UCLA: Finance. https://escholarship.org/uc/item/43n1k4jb. Mikkilä, Oskari, and Juho Kanniainen. 2023. “Empirical Deep Hedging.” Quantitative Finance 23 (1): 111–22. https://doi.org/10.1080/14697688.2022.2136037. Mnih, V., K. Kavukcuoglu, David Silver, A. Graves, I. Antonoglou, Daan Wierstra, and M. Riedmiller. 2013. “Playing Atari with Deep Reinforcement Learning.” arXiv arXiv:1312.5602. https://doi.org/10.48550/arXiv.1312.5602. Murray, Phillip, B. Wood, H. Buehler, Magnus Wiese, and Mikko Pakkanen. 2022. “Deep Hedging: Continuous Reinforcement Learning for Hedging of General Portfolios across Multiple Risk Aversions.” In ICAIF ’22: Proceedings of the Third ACM International Conference on AI in Finance, 361–68. Association for Computing Machinery. https://doi.org/10.1145/3533271.3561731. Pham, Uyen, Quoc Luu, and Hien Tran. 2021. “Multi-Agent Reinforcement Learning Approach for Hedging Portfolio Problem.” Soft Computing 25 (12): 7877–85. https://doi.org/10.1007/s00500-021-05801-6. Pickard, Reilly, and Yuri Lawryshyn. 2023. “Deep Reinforcement Learning for Dynamic Stock Option Hedging: A Review.” Mathematics 11 (24). https://doi.org/10.3390/math11244943. Silver, David, Aja Huang, Chris J. Maddison, Arthur Guez, Laurent Sifre, George van den Driessche, Julian Schrittwieser, et al. 2016. “Mastering the Game of Go with Deep Neural Networks and Tree Search.” Nature 529 (7587): 484–89. https://doi.org/10.1038/nature16961. Smith, Leslie N. 2018. “A Disciplined Approach to Neural Network Hyper-Parameters: Part 1 -- Learning Rate, Batch Size, Momentum, and Weight Decay.” https://doi.org/10.48550/arXiv.1803.09820. Sutton, Richard S., and Andrew G. Barto. 2018. Reinforcement Learning: An Introduction. A Bradford Book. Watkins, Christopher John Cornish Hellaby. 1989. “Learning from Delayed Rewards.” King’s College. https://www.cs.rhul.ac.uk/~chrisw/new_thesis.pdf. Xiao, B., W. Yao, and X. Zhou. 2021. “Optimal Option Hedging with Policy Gradient.” In 2021 International Conference on Data Mining Workshops (ICDMW), 1112–19. IEEE. https://doi.org/10.1109/ICDMW53433.2021.00145. Xu, Wei, and Bing Dai. 2022. “Delta-Gamma–Like Hedging with Transaction Cost under Reinforcement Learning Technique.” The Journal of Derivatives 29 (5): 60–82. https://doi.org/10.3905/jod.2022.1.156. Zheng, C., J. He, and C. Yang. 2023. “Option Dynamic Hedging Using Reinforcement Learning.” arXiv arXiv:2306.10743. Authors: (1) Reilly Pickard, Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON M5S 3G8, Canada (reilly.pickard@mail.utoronto.ca); (2) Finn Wredenhagen, Ernst & Young LLP, Toronto, ON, M5H 0B3, Canada; (3) Julio DeJesus, Ernst & Young LLP, Toronto, ON, M5H 0B3, Canada; (4) Mario Schlener, Ernst & Young LLP, Toronto, ON, M5H 0B3, Canada; (5) Yuri Lawryshyn, Department of Chemical Engineering and Applied Chemistry, University of Toronto, Toronto, ON M5S 3E5, Canada. Authors: Authors: (1) Reilly Pickard, Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON M5S 3G8, Canada ( reilly.pickard@mail.utoronto.ca ); reilly.pickard@mail.utoronto.ca (2) Finn Wredenhagen, Ernst & Young LLP, Toronto, ON, M5H 0B3, Canada; (3) Julio DeJesus, Ernst & Young LLP, Toronto, ON, M5H 0B3, Canada; (4) Mario Schlener, Ernst & Young LLP, Toronto, ON, M5H 0B3, Canada; (5) Yuri Lawryshyn, Department of Chemical Engineering and Applied Chemistry, University of Toronto, Toronto, ON M5S 3E5, Canada. This paper is available on arxiv under CC BY-NC-SA 4.0 Deed (Attribution-Noncommercial-Sharelike 4.0 International) license. This paper is available on arxiv under CC BY-NC-SA 4.0 Deed (Attribution-Noncommercial-Sharelike 4.0 International) license. available on arxiv available on arxiv

Hedging American Put Options with Deep Reinforcement Learning: References

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Jane Bondar, Mobile Development Lead at NIX As we venture into the future of mobile technology, the landscape of user expectations is evolving at an unprecedented pace. The next generation of users is not just looking for faster, more secure digital solutions—they are seeking experiences that seamlessly integrate into their lives and resonate with their values. This new era demands a reimagining of what mobile apps can be, pushing the boundaries of innovation and user engagement. In this article, we will explore these transformative trends in iOS development, offering insights into how they will shape the apps of tomorrow and what developers need to embrace to stay at the forefront of innovation. As we look ahead, it’s clear that the future of mobile apps is bright and full of potential, driven by a new generation of users who are eager for technology that is as smart, intuitive, and responsible as they are. Focus on Swift and SwiftUI Swift remains the primary language for iOS development, and Apple continues to enhance its capabilities with regular updates. However, the language is no longer changing as dramatically as it did in the past. SwiftUI is Apple’s latest framework for creating user interfaces. It uses a declarative approach, making development faster and code easier to understand and less error-prone. With a unified codebase for all Apple platforms, SwiftUI ensures consistency across different devices (iPhone, iPad, Mac, and others). Each year, applications are increasingly being built with SwiftUI. However, it's important to note that this is a relatively young framework and it sometimes undergoes significant changes. Apple traditionally releases a new version of this framework every year, each more powerful, reliable, and refined. With each update come additional elements and features that simplify development. Therefore, it is recommended to use the latest stable versions of SwiftUI, supported from iOS 16 onwards. If you haven’t yet worked with SwiftUI, now is the time to get acquainted. For developers interested in learning the framework independently, the following resources are useful: Apple Developer: Apple’s official documentation with example code.
Ray Wenderlich: Known for comprehensive tutorials and courses.
**Hacking with Swift: **Free learning materials and an active developer community.
SwiftUI Lab: Advanced tutorials on SwiftUI. Augmented Reality (AR) and ARKit Augmented Reality (AR) is no longer just an interesting novelty; it is a trend rapidly gaining traction within the Apple ecosystem. The ARKit framework is a key tool for creating AR-based applications for iOS. It combines virtual objects with the real environment using the camera, sensors, and computing capabilities of the smartphone for tasks such as motion tracking or facial expression changes. Integrating AR into regular business applications is becoming more common, making knowledge of ARKit a valuable and relevant skill. The release of Vision Pro marks a significant milestone in AR development. With its advanced spatial computing capabilities and high-resolution displays, Vision Pro takes AR to new heights, offering users a deeply immersive experience that blends digital and physical worlds. As Vision Pro continues to evolve, users are now expecting applications to provide not just enhanced visual experiences, but also interactions that are more intuitive and integrated into their daily lives. Keep an eye out for updates and educational materials on this topic, and discuss within your team whether your product is ready to transition to this new platform from both a business and technical perspective. Machine Learning and Artificial Intelligence Machine learning has become a central component of many modern mobile applications. Apple's Core ML framework makes it easy to integrate powerful ML models into iOS apps. With this framework, you can use pre-trained machine learning models for various tasks (image analysis, speech command processing, and more). **Create ML **provides a user-friendly platform for building custom ML models without requiring deep expertise in machine learning. The tool is integrated directly into Xcode and allows using Swift as the primary programming language. Understanding these tools opens up possibilities for creating smarter and more responsive applications. Developers should also pay attention to AI assistants, which can significantly enhance productivity. Although these tools are still emerging, they promise great potential for growth and efficiency improvements in the future. Privacy and Security The volume of personal data on mobile devices is growing, as are user expectations regarding privacy and security. Therefore, developers must focus on coding security standards and various data protection strategies. No single method alone can ensure adequate security. Achieving a secure app requires layering various approaches and methods, such as data encryption, App Transport Security (ATS), passwordless authentication, and more. This trend is reinforced by regulations like the General Data Protection Regulation (GDPR) in Europe or the California Consumer Privacy Act (CCPA) in the U.S., which set standards for data protection and user privacy. Developers need to understand the implications of implementing these regulations in mobile apps based on their geographic location. Cross-Platform Development Tools The emergence of cross-platform development tools has been a great opportunity for native developers to expand their horizons and create apps for both iOS and Android from a single codebase. The constantly growing popularity of frameworks like Flutter and React Native confirms this trend. Proficiency in Flutter and React Native enhances a developer’s competitiveness and expands the range of projects they can engage with. Although these frameworks are powerful and continuously evolving, they are not used in every project. Some apps, especially those relying on native platform features or with specific UI requirements, are still better developed natively. It is important to strategically choose the right tool for each project. Inclusivity in iOS Apps More and more developers want to make their products accessible to all users, including those with disabilities. Inclusivity in development is a broad topic. However, for a basic understanding of this area, developers can start with the following approaches: VoiceOver: Makes interface elements accessible to users with visual impairments by reading aloud what is on the screen.
Dynamic Type: Allows apps to automatically adjust text size, images, and interface elements according to user settings, making it easier for people with visual impairments.
Accessibility Inspector: A tool in Xcode that helps developers test how interface elements and features are perceived by users with disabilities. And, of course, stay updated with the latest Accessibility Guidelines from Apple. Environmental Approach to Development According to a global sustainable and inclusive growth company, CO2 emissions from user devices will increase by an average of 12.8% per year. This is primarily due to the production, transportation, and disposal of gadgets. Additionally, excessive energy consumption by apps also impacts these processes both directly and indirectly. There are many aspects to optimize to make an app more energy-efficient: from network optimization and reducing data usage to more efficient use of timers, location tracking, and more. More information on developing energy-efficient iOS apps can be found in Apple’s guide. This approach not only contributes to a better future but also resonates with users who are conscious of environmental concerns, improving the overall usability of the app. Conclusion The best way to follow these trends is to apply them practically. Don’t wait for the perfect project to come along. Enhance your skills independently and master the mentioned technologies step by step. From refining your work with Swift and SwiftUI to learning cross-platform development and applying the latest advancements in AR, ML, and AI, the opportunities for growth and innovation are vast. Focusing on aspects such as security, privacy, accessibility, and sustainability will not only ensure your solutions are technologically advanced but also socially responsible and inclusive. This will help you develop alongside the IT industry and remain a sought-after specialist. Jane Bondar, Mobile Development Lead at NIX Jane Bondar, Mobile Development Lead at NIX NIX As we venture into the future of mobile technology, the landscape of user expectations is evolving at an unprecedented pace. The next generation of users is not just looking for faster, more secure digital solutions—they are seeking experiences that seamlessly integrate into their lives and resonate with their values. This new era demands a reimagining of what mobile apps can be, pushing the boundaries of innovation and user engagement. In this article, we will explore these transformative trends in iOS development, offering insights into how they will shape the apps of tomorrow and what developers need to embrace to stay at the forefront of innovation. As we look ahead, it’s clear that the future of mobile apps is bright and full of potential, driven by a new generation of users who are eager for technology that is as smart, intuitive, and responsible as they are. Focus on Swift and SwiftUI Focus on Swift and SwiftUI Swift remains the primary language for iOS development, and Apple continues to enhance its capabilities with regular updates. However, the language is no longer changing as dramatically as it did in the past. SwiftUI is Apple’s latest framework for creating user interfaces. It uses a declarative approach, making development faster and code easier to understand and less error-prone. With a unified codebase for all Apple platforms, SwiftUI ensures consistency across different devices (iPhone, iPad, Mac, and others). Each year, applications are increasingly being built with SwiftUI. However, it's important to note that this is a relatively young framework and it sometimes undergoes significant changes. Apple traditionally releases a new version of this framework every year, each more powerful, reliable, and refined. With each update come additional elements and features that simplify development. Therefore, it is recommended to use the latest stable versions of SwiftUI, supported from iOS 16 onwards. If you haven’t yet worked with SwiftUI, now is the time to get acquainted. For developers interested in learning the framework independently, the following resources are useful: Apple Developer: Apple’s official documentation with example code. Ray Wenderlich: Known for comprehensive tutorials and courses. **Hacking with Swift: **Free learning materials and an active developer community. SwiftUI Lab: Advanced tutorials on SwiftUI. Apple Developer: Apple’s official documentation with example code. Apple Developer : Apple Developer Apple Developer Ray Wenderlich: Known for comprehensive tutorials and courses. Ray Wenderlich: Known for comprehensive tutorials and courses . Ray Wenderlich: Ray Wenderlich: Known for comprehensive tutorials and courses ** Hacking with Swift: **Free learning materials and an active developer community. Hacking with Swift: Hacking with Swift: SwiftUI Lab: Advanced tutorials on SwiftUI. SwiftUI Lab : SwiftUI Lab SwiftUI Lab Augmented Reality (AR) and ARKit Augmented Reality (AR) and ARKit Augmented Reality (AR) is no longer just an interesting novelty; it is a trend rapidly gaining traction within the Apple ecosystem. The ARKit framework is a key tool for creating AR-based applications for iOS. It combines virtual objects with the real environment using the camera, sensors, and computing capabilities of the smartphone for tasks such as motion tracking or facial expression changes. Integrating AR into regular business applications is becoming more common, making knowledge of ARKit a valuable and relevant skill. The release of Vision Pro marks a significant milestone in AR development. With its advanced spatial computing capabilities and high-resolution displays, Vision Pro takes AR to new heights, offering users a deeply immersive experience that blends digital and physical worlds. As Vision Pro continues to evolve, users are now expecting applications to provide not just enhanced visual experiences, but also interactions that are more intuitive and integrated into their daily lives. Keep an eye out for updates and educational materials on this topic, and discuss within your team whether your product is ready to transition to this new platform from both a business and technical perspective. Machine Learning and Artificial Intelligence Machine Learning and Artificial Intelligence Machine learning has become a central component of many modern mobile applications. Apple's Core ML framework makes it easy to integrate powerful ML models into iOS apps. With this framework, you can use pre-trained machine learning models for various tasks (image analysis, speech command processing, and more). ** Create ML **provides a user-friendly platform for building custom ML models without requiring deep expertise in machine learning. The tool is integrated directly into Xcode and allows using Swift as the primary programming language. Understanding these tools opens up possibilities for creating smarter and more responsive applications. Create ML Create ML Developers should also pay attention to AI assistants, which can significantly enhance productivity. Although these tools are still emerging, they promise great potential for growth and efficiency improvements in the future. Privacy and Security Privacy and Security The volume of personal data on mobile devices is growing, as are user expectations regarding privacy and security. Therefore, developers must focus on coding security standards and various data protection strategies. No single method alone can ensure adequate security. Achieving a secure app requires layering various approaches and methods, such as data encryption, App Transport Security (ATS), passwordless authentication, and more. This trend is reinforced by regulations like the General Data Protection Regulation (GDPR) in Europe or the California Consumer Privacy Act (CCPA) in the U.S., which set standards for data protection and user privacy. Developers need to understand the implications of implementing these regulations in mobile apps based on their geographic location. Cross-Platform Development Tools Cross-Platform Development Tools The emergence of cross-platform development tools has been a great opportunity for native developers to expand their horizons and create apps for both iOS and Android from a single codebase. The constantly growing popularity of frameworks like Flutter and React Native confirms this trend. Proficiency in Flutter and React Native enhances a developer’s competitiveness and expands the range of projects they can engage with. Although these frameworks are powerful and continuously evolving, they are not used in every project. Some apps, especially those relying on native platform features or with specific UI requirements, are still better developed natively. It is important to strategically choose the right tool for each project. Inclusivity in iOS Apps Inclusivity in iOS Apps More and more developers want to make their products accessible to all users, including those with disabilities. Inclusivity in development is a broad topic. However, for a basic understanding of this area, developers can start with the following approaches: VoiceOver: Makes interface elements accessible to users with visual impairments by reading aloud what is on the screen. Dynamic Type: Allows apps to automatically adjust text size, images, and interface elements according to user settings, making it easier for people with visual impairments. Accessibility Inspector: A tool in Xcode that helps developers test how interface elements and features are perceived by users with disabilities. VoiceOver: Makes interface elements accessible to users with visual impairments by reading aloud what is on the screen. VoiceOver: Dynamic Type: Allows apps to automatically adjust text size, images, and interface elements according to user settings, making it easier for people with visual impairments. Dynamic Type: Accessibility Inspector: A tool in Xcode that helps developers test how interface elements and features are perceived by users with disabilities. Accessibility Inspector: And, of course, stay updated with the latest Accessibility Guidelines from Apple. Accessibility Guidelines from Apple . Accessibility Guidelines from Apple Environmental Approach to Development Environmental Approach to Development According to a global sustainable and inclusive growth company, CO2 emissions from user devices will increase by an average of 12.8% per year. This is primarily due to the production, transportation, and disposal of gadgets. Additionally, excessive energy consumption by apps also impacts these processes both directly and indirectly. There are many aspects to optimize to make an app more energy-efficient: from network optimization and reducing data usage to more efficient use of timers, location tracking, and more. More information on developing energy-efficient iOS apps can be found in Apple’s guide. This approach not only contributes to a better future but also resonates with users who are conscious of environmental concerns, improving the overall usability of the app. Conclusion Conclusion The best way to follow these trends is to apply them practically. Don’t wait for the perfect project to come along. Enhance your skills independently and master the mentioned technologies step by step. From refining your work with Swift and SwiftUI to learning cross-platform development and applying the latest advancements in AR, ML, and AI, the opportunities for growth and innovation are vast. Focusing on aspects such as security, privacy, accessibility, and sustainability will not only ensure your solutions are technologically advanced but also socially responsible and inclusive. This will help you develop alongside the IT industry and remain a sought-after specialist.

What Next-Gen Users Expect from Mobile Apps of Tomorrow

আগামীকালের মোবাইল অ্যাপস থেকে নেক্সট-জেন ব্যবহারকারীরা কী আশা করে

Was Benutzer der nächsten Generation von mobilen Apps von morgen erwarten

Qué esperan los usuarios de la próxima generación de las aplicaciones móviles del futuro

Ce que les utilisateurs de la prochaine génération attendent des applications mobiles de demain

अगली पीढ़ी के उपयोगकर्ता भविष्य के मोबाइल ऐप्स से क्या उम्मीद करते हैं

次世代ユーザーが明日のモバイルアプリに期待すること

차세대 사용자가 미래의 모바일 앱에 기대하는 것

O que os usuários da próxima geração esperam dos aplicativos móveis do amanhã

Чего ожидают пользователи нового поколения от мобильных приложений будущего

Yeni Nesil Kullanıcıların Geleceğin Mobil Uygulamalarından Beklentileri

Người dùng thế hệ tiếp theo mong đợi gì từ các ứng dụng di động của ngày mai

下一代用户对未来移动应用的期望

If you stumbled across this piece, you're likely curious about launching a new Web3 product or you're a new Web3 marketer eager to learn how to build an ideal self-marketing strategy from scratch. So I'll gladly hold your hand doing just that. In this article, we will focus on the various ways to launch a new Web3 product. Subsequently, we will analyze different products and the combination of models that can best fit each product. Let's get right into it! Web3 GTM Models Community building In Web3 the fulcrum of a successful project is the community - the loyalists, who love the project idea, use it and will gladly recommend it to others (effortless brand evangelists). Before getting a picture of what your Web3 community should look like, you've already gotten an answer to the following: What's the product about?
Who’s our target audience?
What channels are our target audience conversant with for communication? (Discord, X, Reddit, Farcaster)
What's our key message? In at least one sentence, how can I communicate our product's offering? So you're conscious about building a community that understands the message of your product and is committed to staying long-term. It's important to build a community that goes beyond just numbers on Discord. Aim for a close-knit, family-like bond with inside jokes. Begin to see your community as individuals rather than just tools or mere numbers. Use memes and jokes that relate to your project liberally to foster this sense of connection. When choosing which KOLs to bring in to amplify your community’s reach, ensure that their brand voice aligns with your community’s. Their involvement should feel natural, not forced or paid. DAO Governance Building a successful decentralized autonomous organization (DAO) requires a well-defined structure. As your community grows, you will have "strong community members" – those who hold a significant percentage of your project's tokens because they believe in the project and want their voices to be heard in its decisions. It makes sense to include stakeholders in your project's decision-making and marketing efforts. How? DAO members can become brand ambassadors, promoting the project through their networks and social channels. This organic marketing can be highly effective and reach a wider audience. Token holders can collectively decide on the direction of product updates or developments. Creating an interesting reward system will help. DAO governance will only be successful in a truly decentralized world, where contracts are self-binding through smart contracts, and all votes are visible on the blockchain, as is done on Ethereum. Integrations You've just joined a startup as the Marketing Manager, and your task is to generate X number of users for a DeFi protocol within the first three months of your start date. The product is still in its beta stage, and you are expected to craft a go-to-market strategy to achieve this goal within the given timeframe. What are you going to do? Run ads, hire influencers to promote your project, or pay for sponsored articles? One of the best things to do is consider possible integrations for the DeFi protocol that allow you to meet your target audience where they already are. It's like stopping your train at the train station to pick up passengers instead of waiting at the sea. For early users who started using the protocol during the beta stage, it's a plus; they now have the opportunity to use it elsewhere at their convenience. That's the beauty of integrations—the product hasn't changed; it's just reaching more people. Some examples: Phantom wallet extension seamlessly integrated into your browser
SolanaPay integrated on Shopify and PayPal to allow you to pay with SOL It could also be in this form: Trying to swap tokens, and a new protocol pops up alongside Uniswap and others, with maybe even better benefits.
Trying to buy an NFT and a new NFT marketplace pops up beside OpenSea. As a Web3 marketer, you should be deliberate about integrating your product to other platforms; ensure it's somewhere the product can easily be found. Developer led If the product you're marketing has a core target audience of developers, you must ensure it delivers its best. Creating a long-term strategy of incentivizing developers to use your tool is not sustainable—you'll run out of funds, and it may limit your reach. It's crucial that the software solves a problem developers face in the blockchain space and provides useful documentation to help them use the tool effectively. Product led If you have an analytics tool to bring to the market, you will focus on using the product as the primary driver of customer acquisition. So you've checked for user experience and feedback, thanks to your beta testers. The next step is to create an excellent landing page that guides users to take direct action through a clear call-to-action. This could be: Launch app
Sign up
Download Wallet Sales led If you have a Web3 SAAS tool to bring to the market, you shouldn't necessarily rely on the product-led model. Instead, focus on outreach and building relationships to secure sales. With this, you trigger potential users to take direct actions like: Start your free trial
Request a demo
Download our whitepaper or case study. Partnerships You're bringing a new product to the market with little online credibility. To build trust, consider collaborating with established A-list projects in your niche. This can amplify your online presence and credibility. It's important to form partnerships not just for the hype but to ensure both parties have mutual benefits. Co-marketing efforts could include AMAs, videos, blog posts, and other campaign content. In conclusion, Depending on the nature of the project you're tasked with bringing to the market, you should have a good mix of any of these GTM models. I help Web3 projects create and execute ideal GTM strategies and have assisted top-tier Web3 projects in crafting impeccable stories. Send me an email to Web3.talez@gmail.com to get started. If you stumbled across this piece, you're likely curious about launching a new Web3 product or you're a new Web3 marketer eager to learn how to build an ideal self-marketing strategy from scratch. So I'll gladly hold your hand doing just that. If you stumbled across this piece, you're likely curious about launching a new Web3 product or you're a new Web3 marketer eager to learn how to build an ideal self-marketing strategy from scratch. So I'll gladly hold your hand doing just that. In this article, we will focus on the various ways to launch a new Web3 product. Subsequently, we will analyze different products and the combination of models that can best fit each product. In this article, we will focus on the various ways to launch a new Web3 product. Subsequently, we will analyze different products and the combination of models that can best fit each product. Let's get right into it! Let's get right into it! Web3 GTM Models Community building Community building Community building In Web3 the fulcrum of a successful project is the community - the loyalists, who love the project idea, use it and will gladly recommend it to others (effortless brand evangelists). Before getting a picture of what your Web3 community should look like, you've already gotten an answer to the following: What's the product about? Who’s our target audience? What channels are our target audience conversant with for communication? (Discord, X, Reddit, Farcaster) What's our key message? In at least one sentence, how can I communicate our product's offering? What's the product about? Who’s our target audience? What channels are our target audience conversant with for communication? (Discord, X, Reddit, Farcaster) What's our key message? In at least one sentence, how can I communicate our product's offering? So you're conscious about building a community that understands the message of your product and is committed to staying long-term. It's important to build a community that goes beyond just numbers on Discord. Aim for a close-knit, family-like bond with inside jokes. Begin to see your community as individuals rather than just tools or mere numbers. It's important to build a community that goes beyond just numbers on Discord. Aim for a close-knit, family-like bond with inside jokes. Begin to see your community as individuals rather than just tools or mere numbers. Use memes and jokes that relate to your project liberally to foster this sense of connection. When choosing which KOLs to bring in to amplify your community’s reach, ensure that their brand voice aligns with your community’s. Their involvement should feel natural, not forced or paid. When choosing which KOLs to bring in to amplify your community’s reach, ensure that their brand voice aligns with your community’s. Their involvement should feel natural, not forced or paid. DAO Governance DAO Governance DAO Governance Building a successful decentralized autonomous organization (DAO) requires a well-defined structure. As your community grows, you will have "strong community members" – those who hold a significant percentage of your project's tokens because they believe in the project and want their voices to be heard in its decisions. It makes sense to include stakeholders in your project's decision-making and marketing efforts. How? DAO members can become brand ambassadors, promoting the project through their networks and social channels. This organic marketing can be highly effective and reach a wider audience. Token holders can collectively decide on the direction of product updates or developments. Creating an interesting reward system will help. DAO governance will only be successful in a truly decentralized world, where contracts are self-binding through smart contracts, and all votes are visible on the blockchain, as is done on Ethereum. DAO governance will only be successful in a truly decentralized world, where contracts are self-binding through smart contracts, and all votes are visible on the blockchain, as is done on Ethereum. Integrations Integrations Integrations You've just joined a startup as the Marketing Manager, and your task is to generate X number of users for a DeFi protocol within the first three months of your start date. The product is still in its beta stage, and you are expected to craft a go-to-market strategy to achieve this goal within the given timeframe. What are you going to do? Run ads, hire influencers to promote your project, or pay for sponsored articles? One of the best things to do is consider possible integrations for the DeFi protocol that allow you to meet your target audience where they already are. It's like stopping your train at the train station to pick up passengers instead of waiting at the sea. For early users who started using the protocol during the beta stage, it's a plus; they now have the opportunity to use it elsewhere at their convenience. That's the beauty of integrations—the product hasn't changed; it's just reaching more people. Some examples: Phantom wallet extension seamlessly integrated into your browser SolanaPay integrated on Shopify and PayPal to allow you to pay with SOL Phantom wallet extension seamlessly integrated into your browser SolanaPay integrated on Shopify and PayPal to allow you to pay with SOL It could also be in this form: Trying to swap tokens, and a new protocol pops up alongside Uniswap and others, with maybe even better benefits. Trying to buy an NFT and a new NFT marketplace pops up beside OpenSea. Trying to swap tokens, and a new protocol pops up alongside Uniswap and others, with maybe even better benefits. Trying to buy an NFT and a new NFT marketplace pops up beside OpenSea. As a Web3 marketer, you should be deliberate about integrating your product to other platforms; ensure it's somewhere the product can easily be found. As a Web3 marketer, you should be deliberate about integrating your product to other platforms; ensure it's somewhere the product can easily be found. Developer led Developer led Developer led If the product you're marketing has a core target audience of developers, you must ensure it delivers its best. Creating a long-term strategy of incentivizing developers to use your tool is not sustainable—you'll run out of funds, and it may limit your reach . It's crucial that the software solves a problem developers face in the blockchain space and provides useful documentation to help them use the tool effectively. Creating a long-term strategy of incentivizing developers to use your tool is not sustainable—you'll run out of funds, and it may limit your reach Product led Product led Product led If you have an analytics tool to bring to the market, you will focus on using the product as the primary driver of customer acquisition. So you've checked for user experience and feedback, thanks to your beta testers. The next step is to create an excellent landing page that guides users to take direct action through a clear call-to-action. direct action This could be: Launch app Sign up Download Wallet Launch app Sign up Download Wallet Sales led Sales led Sales led If you have a Web3 SAAS tool to bring to the market, you shouldn't necessarily rely on the product-led model. Instead, focus on outreach and building relationships to secure sales. With this, you trigger potential users to take direct actions like: direct actions Start your free trial Request a demo Download our whitepaper or case study. Start your free trial Request a demo Download our whitepaper or case study. Partnerships Partnerships Partnerships You're bringing a new product to the market with little online credibility. To build trust, consider collaborating with established A-list projects in your niche. This can amplify your online presence and credibility. It's important to form partnerships not just for the hype but to ensure both parties have mutual benefits. Co-marketing efforts could include AMAs, videos, blog posts, and other campaign content. In conclusion , In conclusion Depending on the nature of the project you're tasked with bringing to the market, you should have a good mix of any of these GTM models. I help Web3 projects create and execute ideal GTM strategies and have assisted top-tier Web3 projects in crafting impeccable stories. Send me an email to Web3.talez@gmail.com to get started . I help Web3 projects create and execute ideal GTM strategies and have assisted top-tier Web3 projects in crafting impeccable stories. Send me an email to Web3.talez@gmail.com to get started Web3.talez@gmail.com Web3.talez@gmail.com

Getting started with a crypto product: The Best Web3 GTM Models

Authors:
(1) Wahei Hara;
(2) Yuki Hirano. Table of Links Abstract and Intro
Exchanges and Mutations of modifying modules
Quasi-symmetric representation and GIT quotient
Main results
Applications to Calabi-Yau complete intersections
Appendix A. Matrix factorizations
Appendix B. List of Notation
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Nakajima, Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions. Selecta Math. (N.S.) 25(2019), no.5, Paper No. 78, 25 pp. 2, 4 [Hir1] Y. Hirano, Equivalences of derived factorization categories of gauged Landau-Ginzburg models. Adv. Math. 306, 200–278 (2017). 36 [Hir2] Y. Hirano, Derived Kn¨orrer periodicity and Orlov’s theorem for gauged Landau-Ginzburg models. Compos. Math. 153, no. 5, 973–1007 (2017). 32 [Hir3] Y. Hirano, Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations . SIGMA Symmetry Integrability Geom. Methods Appl. 17, Paper No. 055, 43 pp (2021). 5, 36, 37, 38 [HW1] Y. Hirano and M. Wemyss, Faithful actions from hyperplane arrangements, Geom. Topol. 22 (2018), no. 6, 3395–3433. 1 [HW2] Y. Hirano and M. Wemyss, Stability conditions for 3-fold flops, arXiv:1907.09742. 1, 3 [HR] J. Hall, D. Rydh, Perfect complexes on algebraic stacks, Compos. Math. 153 (2017), no. 11, 2318–2367. 9 [Isi] M. U. Isik, Equivalence of the derived category of a variety with a singularity category, Int. Math. Res. Not. IMRN (2013), no. 12, 2787–2808. 32 [IR] O. Iyama and I. Reiten, Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras. Am. J. Math. 130 (4), 1087–1149 (2008). 5 [IW1] O. Iyama and M. Wemyss, Maximal modifications and Auslander-Reiten duality for non-isolated singularities. Invent. Math. 197 (2014), no. 3, 521–586. 1, 2, 6, 7, 8, 11 [IW2] O. Iyama and M. Wemyss, Tits cones intersections and applications, preprint. 3 [Kaw] Y. Kawamata, Flops connect minimal models, Publ. RIMS, 44, 419–423 (2008). 1 [KO] N. Koseki and G. Ouchi, Perverse schobers and Orlov equivalences, Eur. J. Math. 9, no. 2, Paper No. 32, 38 pp (2023). 36 [Nak] Y. Nakajima, Mutations of splitting maximal modifying modules: the case of reflexive polygons. Int. Math. Res. Not. IMRN(2019), no.2, 470–550. 2 [OT] C. Okonek and A. Teleman, Graded tilting for gauged Landau-Ginzubrg models and geometric applications. arXiv:1907.10099. 5, 37 [Pos] L. Positselski, Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence. Mem. Amer. Math. Soc. 212 (2011), no. 966. 36 [Shi] I. Shipman, A geometric approach to Orlov’s theorem, Compos. Math. 148, no. 5, 1365-1389 (2012). 32 [SV1] S. ˇ Spenko and M. Van den Bergh, ˇ Non-commutative resolutions of quotient singularities for reductive groups. Invent. Math. 210, no. 1, 3–67 (2017). 1, 12, 21, 22, 25 [SV2] S. ˇ Spenko and M. Van den Bergh, ˇ Non-commutative crepant resolutions for some toric singularities I. Int. Math. Res. Not. IMRN(2020), no.21, 8120–8138. 10 [SV3] S. ˇ Spenko and M. Van den Bergh, ˇ Non-commutative crepant resolutions for some toric singularities. II. J. Noncommut. Geom. 14 (2020), no. 1, 73–103. 9 [SV4] S. ˇ Spenko and M. Van den Bergh, ˇ Tilting bundles on hypertoric varieties. Int. Math. Res. Not. IMRN(2021), no.2, 1034–1042. 31 [SV5] S. ˇ Spenko and M. Van den Bergh, J.-P. Bell, ˇ On the noncommutative Bondal-Orlov conjecture for some toric varieties. Math. Z. 300(2022), no.1, 1055–1068. 2 [Sta] The Stacks Project Authors, Stacks Project. https://stacks.math.columbia.edu 12 [Tel] C. Teleman, The quantization conjecture revisited. Ann. of Math. (2) 152 (2000), no. 1, 1–43. 23, 24 [Van1] M. Van den Bergh, Three-dimensional flops and noncommutative rings, Duke Math. J. 122 (2004), no. 3, 423–455. 1 [Van2] M. Van den Bergh, Non-commutative crepant resolutions. The Legacy of Niels Henrik Abel, pp. 749–770. Springer, Berlin (2004) 1, 2 [Van3] M. Van den Bergh, Non-commutative crepant resolutions, an overview. arXiv:2207.09703. 1, 6, 26 [Wem] M. Wemyss, Flops and Clusters in the Homological Minimal Model Program, Invent. Math. 211 (2018), no. 2, 435–521. 1, 2, 30, 31 Kavli Institute for the Physics and Mathematics of the Universe (WPI), University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, 277-8583, Japan Email address: wahei.hara@ipmu.jp Tokyo University of Agriculture and Technology, 2-24-16 Nakacho, Koganei, Tokyo 184-8588, Japan Email address: hirano@go.tuat.ac.jp This paper is available on arxiv under CC0 1.0 DEED license. Authors: (1) Wahei Hara; (2) Yuki Hirano. Authors: Authors: (1) Wahei Hara; (2) Yuki Hirano. Table of Links Abstract and Intro Exchanges and Mutations of modifying modules Quasi-symmetric representation and GIT quotient Main results Applications to Calabi-Yau complete intersections Appendix A. Matrix factorizations Appendix B. List of Notation References Abstract and Intro Abstract and Intro Exchanges and Mutations of modifying modules Exchanges and Mutations of modifying modules Quasi-symmetric representation and GIT quotient Quasi-symmetric representation and GIT quotient Main results Main results Applications to Calabi-Yau complete intersections Applications to Calabi-Yau complete intersections Appendix A. Matrix factorizations Appendix A. Matrix factorizations Appendix B. List of Notation Appendix B. List of Notation References References References [BFK1] M. Ballard, D. Favero and L. Katzarkov, A category of kernels for equivariant factorizations and its implications for Hodge theory. Publ. Math. Inst. Hautes Etudes Sci. ´ 120, 1–111 (2014). 36, 38 [BFK2] M. Ballard, D. Favero and L. Katzarkov, Variation of geometric invariant theory quotients and derived categories, J. Reine Angew. Math. 746, 235–303 (2019). 32, 35 [BDFIK] M. Ballard, D. Deliu, D. Favero, M. U. Isik, and L. Katzarkov, Resolutions in factorization categories. Adv. Math. 295, 195–249 (2016). 34, 36 [BLS] D. Bergh, V. A. Lunts, O. M. Schn¨urer1, Geometricity for derived categories of algebraic stacks, Selecta Math. (N.S.) 22 (2016), no. 4, 2535–2568. 9 [Bri] T. Bridgeland, Flops and derived categories, Invent. Math. 147 (2002), no. 3, 613–632. 1 [BH] W. Bruns and J. Herzog, Cohen-Macaulay rings. Cambridge Studies in Advanced Mathematics, 39. 7, 12 [Che] J.-C. Chen, Flops and equivalences of derived categories for threefolds with only terminal Gorenstein singularities, J. Differential Geom. 61 (2002), no. 2, 227–261. 1 [Har1] W. Hara, Non-commutative crepant resolution of minimal nilpotent orbit closures of type A and Mukai flops. Adv. Math.318(2017), 355–410. 2, 4, 31 [Har2] W. Hara, On derived equivalence for Abuaf flop: mutation of non-commutative crepant resolutions and spherical twists. Matematiche (Catania) 77(2022), no.2, 329–371. 2, 4, 10, 30, 31 [Hal] D. Halpern-Leistner, The derived category of a GIT quotient. J. Amer. Math. Soc. 28 (2015), no. 3, 871–912. 23 [HSa] D. Halpern-Leistner and S. V. Sam, Combinatorial constructions of derived equivalences. J. Amer. Math. Soc. 33, no. 3, 871–912 (2020). 1, 2, 3, 12, 13, 14, 16, 21, 31, 32, 33 [HSh] D. Halpern-Leistner and I. Shipman, Autoequivalences of derived categories via geometric invariant theory. Adv. Math. 303, 1264–1299 (2016). 34, 35 [HN] A. Higashitani and Y. Nakajima, Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions. Selecta Math. (N.S.) 25(2019), no.5, Paper No. 78, 25 pp. 2, 4 [Hir1] Y. Hirano, Equivalences of derived factorization categories of gauged Landau-Ginzburg models. Adv. Math. 306, 200–278 (2017). 36 [Hir2] Y. Hirano, Derived Kn¨orrer periodicity and Orlov’s theorem for gauged Landau-Ginzburg models. Compos. Math. 153, no. 5, 973–1007 (2017). 32 [Hir3] Y. Hirano, Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations . SIGMA Symmetry Integrability Geom. Methods Appl. 17, Paper No. 055, 43 pp (2021). 5, 36, 37, 38 [HW1] Y. Hirano and M. Wemyss, Faithful actions from hyperplane arrangements, Geom. Topol. 22 (2018), no. 6, 3395–3433. 1 [HW2] Y. Hirano and M. Wemyss, Stability conditions for 3-fold flops, arXiv:1907.09742. 1, 3 [HR] J. Hall, D. Rydh, Perfect complexes on algebraic stacks, Compos. Math. 153 (2017), no. 11, 2318–2367. 9 [Isi] M. U. Isik, Equivalence of the derived category of a variety with a singularity category, Int. Math. Res. Not. IMRN (2013), no. 12, 2787–2808. 32 [IR] O. Iyama and I. Reiten, Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras. Am. J. Math. 130 (4), 1087–1149 (2008). 5 [IW1] O. Iyama and M. Wemyss, Maximal modifications and Auslander-Reiten duality for non-isolated singularities. Invent. Math. 197 (2014), no. 3, 521–586. 1, 2, 6, 7, 8, 11 [IW2] O. Iyama and M. Wemyss, Tits cones intersections and applications, preprint. 3 [Kaw] Y. Kawamata, Flops connect minimal models, Publ. RIMS, 44, 419–423 (2008). 1 [KO] N. Koseki and G. Ouchi, Perverse schobers and Orlov equivalences, Eur. J. Math. 9, no. 2, Paper No. 32, 38 pp (2023). 36 [Nak] Y. Nakajima, Mutations of splitting maximal modifying modules: the case of reflexive polygons. Int. Math. Res. Not. IMRN(2019), no.2, 470–550. 2 [OT] C. Okonek and A. Teleman, Graded tilting for gauged Landau-Ginzubrg models and geometric applications. arXiv:1907.10099. 5, 37 [Pos] L. Positselski, Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence. Mem. Amer. Math. Soc. 212 (2011), no. 966. 36 [Shi] I. Shipman, A geometric approach to Orlov’s theorem, Compos. Math. 148, no. 5, 1365-1389 (2012). 32 [SV1] S. ˇ Spenko and M. Van den Bergh, ˇ Non-commutative resolutions of quotient singularities for reductive groups. Invent. Math. 210, no. 1, 3–67 (2017). 1, 12, 21, 22, 25 [SV2] S. ˇ Spenko and M. Van den Bergh, ˇ Non-commutative crepant resolutions for some toric singularities I. Int. Math. Res. Not. IMRN(2020), no.21, 8120–8138. 10 [SV3] S. ˇ Spenko and M. Van den Bergh, ˇ Non-commutative crepant resolutions for some toric singularities. II. J. Noncommut. Geom. 14 (2020), no. 1, 73–103. 9 [SV4] S. ˇ Spenko and M. Van den Bergh, ˇ Tilting bundles on hypertoric varieties. Int. Math. Res. Not. IMRN(2021), no.2, 1034–1042. 31 [SV5] S. ˇ Spenko and M. Van den Bergh, J.-P. Bell, ˇ On the noncommutative Bondal-Orlov conjecture for some toric varieties. Math. Z. 300(2022), no.1, 1055–1068. 2 [Sta] The Stacks Project Authors, Stacks Project. https://stacks.math.columbia.edu 12 [Tel] C. Teleman, The quantization conjecture revisited. Ann. of Math. (2) 152 (2000), no. 1, 1–43. 23, 24 [Van1] M. Van den Bergh, Three-dimensional flops and noncommutative rings, Duke Math. J. 122 (2004), no. 3, 423–455. 1 [Van2] M. Van den Bergh, Non-commutative crepant resolutions. The Legacy of Niels Henrik Abel, pp. 749–770. Springer, Berlin (2004) 1, 2 [Van3] M. Van den Bergh, Non-commutative crepant resolutions, an overview. arXiv:2207.09703. 1, 6, 26 [Wem] M. Wemyss, Flops and Clusters in the Homological Minimal Model Program, Invent. Math. 211 (2018), no. 2, 435–521. 1, 2, 30, 31 Kavli Institute for the Physics and Mathematics of the Universe (WPI), University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, 277-8583, Japan Email address: wahei.hara@ipmu.jp Email address: wahei.hara@ipmu.jp Tokyo University of Agriculture and Technology, 2-24-16 Nakacho, Koganei, Tokyo 184-8588, Japan Email address: hirano@go.tuat.ac.jp Email address: hirano@go.tuat.ac.jp This paper is available on arxiv under CC0 1.0 DEED license. This paper is available on arxiv under CC0 1.0 DEED license. available on arxiv

Mutations of noncommutative crepant resolutions: References

নন-কমিউটেটিভ ক্রেপ্যান্ট রেজোলিউশনের মিউটেশন: রেফারেন্স

Mutationen nichtkommutativer Crepant-Auflösungen: Referenzen

Mutaciones de resoluciones crepantes no conmutativas: referencias

Mutations de résolutions crépantes non commutatives : références

गैर-विनिमेय क्रेपेंट संकल्पों के उत्परिवर्तन: संदर्भ

非可換クレパント解決の突然変異: 参考文献

비가환적 크레판트 해상도의 돌연변이: 참고자료

Mutações de resoluções crepantes não comutativas: Referências

Мутации некоммутативных крепантных резолюций: Литература.

Değişmeyen crepant çözünürlüklerin mutasyonları: Referanslar

Đột biến của độ phân giải crepant không giao hoán: Tài liệu tham khảo

非交换 crepant 解析的突变：参考文献

Four Thousand Years of Blood, Snot, and Tears

চার হাজার বছরের রক্ত, স্নোট এবং অশ্রু

Viertausend Jahre Blut, Rotz und Tränen

Cuatro mil años de sangre, mocos y lágrimas

Quatre mille ans de sang, de morve et de larmes

चार हज़ार साल का खून, बलगम और आँसू

4000年にわたる血と鼻水と涙

4천년의 피와 콧물과 눈물

Quatro mil anos de sangue, ranho e lágrimas

Четыре тысячи лет крови, соплей и слез

Dört Bin Yıllık Kan, Sümük ve Gözyaşı

Bốn ngàn năm máu, nước mũi và nước mắt

四千年的血、鼻、泪

Zero-Knowledge Hackathon Insights and Recommendations

জিরো-নলেজ হ্যাকাথন অন্তর্দৃষ্টি এবং সুপারিশ

Erkenntnisse und Empfehlungen zum Zero-Knowledge-Hackathon

Ideas y recomendaciones del Hackathon de conocimiento cero

Perspectives et recommandations du Zero-Knowledge Hackathon

शून्य-ज्ञान हैकाथॉन अंतर्दृष्टि और सिफारिशें

ゼロ知識ハッカソンの洞察と推奨事項

영지식 해커톤 통찰력 및 권장 사항

Insights e recomendações do Zero-Knowledge Hackathon

Анализ и рекомендации хакатона с нулевым разглашением

Sıfır Bilgi Hackathonu İçgörüleri ve Önerileri

Thông tin chi tiết và đề xuất về Hackathon không có kiến thức

零知识黑客马拉松的见解和建议

Humans! One interesting twinkle in the dark, vacuous expanse of the cosmos. Trapped on a floating ball of rock to mope into space and be tormented by relentless, conflicting emotions. Prison within and prison without. Awaiting the summon of death. What the hell is this existence and what is its use? At least we have each other. Right? Yes, we do. Plus, the resources of the earth. And most importantly, there's that small voice that keeps telling us to become more. So, we stagger on. Nothing is certain in this great maze of existence but we don't just give in. We grope for purpose in the confusing unknown. We do what we do in search of fulfillment. Thus, we solve problems for those we love. We really dig in and harvest ingenious creations from within us. It makes us happy, so we keep going. We keep chasing that which our heart yearns for. What is it many have asked? What is it that we really want? Some of the smartest among us have given a name to it, and I dare agree with them. It is what it is; Freedom! Freedom from wants, death, and ourselves. Freedom from whatever dares limit us. Freedom from this great bondage that is us. Hence, in our relentless yearning, we build this great bridge of science. Into matter, into space, into life. Into technology! Oh that we may find that which we seek. Oh that we may find; Autonomy! Autonomy Has Always Driven Technology Humans have always been bound by limitations that we constantly rebel against. Imagine the caveman days. Small, slow, and weak as we were, we were completely bound by the harsh laws of the jungle. Dominated by powerful creatures. Yet, our big brain brought us to the very top of the food chain. Inventions like the spear, knife, and arrow with advanced hunting strategies helped us overcome the powerful beasts that ruled the wild. Then, we created our own societies and were ruled by tribal laws. Not very different jungle laws though but strong humans were in charge now. Then came the reign of religion, and priests were in charge. Then came countries with cunning politicians. Then came capitalism with wealthy businessmen who are now running the show. All these changes have been driven by advancements as humans try to take more control of their lives. From being ruled by wild beasts to strong men to priests to politicians and businessmen, people have always invented systems that gave them more control of their lives. And this progress is not only evident in the technology of our leadership but also in the everyday devices that we use. First, we had caves and stone tools, then came villages and metal tools, and then came towns and analog machines. Now, we have cities and digital technology. This drive for autonomy in our technology has culminated in what we call a decentralized internet or web3. Autonomy in Web3 Web 3 remains a relatively recent technology that is yet to be widely understood. Yet, it is already being widely adopted as the advantages are very obvious. Simply put, web3 aims to put the Internet and financial system under the control of everyone and not just a few giant corporations. Why is this necessary you may ask? Well, the answer is simple: "Power corrupts and absolute power corrupts absolutely!" The internet and financial systems represent the most critical technologies that humans have been able to develop. Hence, there is a great power in the hands of anyone who controls them. It's no wonder that top government officials and tech billionaires dominate the list of most powerful people in the world. This great power which allows such people to exercise control around the world is akin to the legendary absolute power that absolutely corrupts the wielders. And we have already seen this corruption at play. For example; , , , etc. Facebook has recorded multiple user data breaches Twitter has been accused many times of stifling free speech US politicians were caught cheating through insider trading in the stock market Hence, the internet and financial market which have lasting effects on people’s lives need some level of democracy. This is what web3 promises. Cryptocurrencies were introduced as a means for people to transact directly without passing through middlemen in the banking institutions who often benefit fraudulently from people’s money with little or no punishment. Combining crypto with blockchain technology provides the world with a global decentralized financial internet that no one fully controls and everyone can benefit from. Is Autonomy Truly Possible? Many reservations have been raised about the practicality of web3 and whether it can be truly autonomous. For example; fundamental blockchain infrastructures are often hosted on web2 servers with centralized control. Also, mining cryptocurrency is energy intensive which makes the entire system dependent on power companies. Would the power companies and server owners not be the new bosses in town? Well, that's a critical problem that is yet to be solved. However, blockchain technology is slowly solving the centralized server problem through compressed distributed storage of the technology on the devices of its users. Basically, a blockchain is a database, and every device that connects to the blockchain has a version of the database stored on it. This makes it possible for the billions of devices that users use to connect to the blockchain to function as servers distributed around the world instead of just one central server. Fingers crossed for what will come in the future. About the electricity problem, well, most cryptocurrencies have a limited amount of tokens to be mined, hence, mining is not a forever thing. Also, alternative versions of power like solar make it possible for miners to set up affordable sources of personalized power. Hence, centralized power companies can possibly be bypassed. With these considerations, the autonomy that web3 promises can foreseeably be accomplished. Future of Autonomy Picture this... You fall asleep now and awaken in the autonomous age. Robots run the world now. The planet is one big country run by the United Nations and headquartered in Earth City (a giant circular artificial island built in the Atlantic Ocean on longitude 0 degrees and latitude 0 degrees). Networks of underwater hyperloop lines and speed train bridges interconnect all the continents in minutes and the former countries are nothing but political provinces for proper documentation and security. Autonomous vehicles with little or no accidents dominate the roads and autonomous spaceships transverse space to transport people and resources around the solar system. Humans have finally colonized the solar system. The world lives in abundance as automated high-tech farms meet all our agricultural needs. Basic amenities like water, electricity, and education are free, and everyone gets a living wage to cover secondary needs like real estate around the planets, internet access, and transportation. Advanced amenities like technology, art, entertainment, exploration, and financial trading are where businesses operate. Web3 is fully operational. Hologram devices are all over the place for people to experience the dinterverse (decentralized internet metaverse) which uses all those devices as servers. DAOs, running on open-source technology, are the global means of voting, with Auth ID being the prominent open-source platform for decentralized technology. Industry-based crypto coins are the means of exchange (e.g., techon for technology, agrocoin for agriculture, muse for music, etc.) and cryptex trading (forex trading of the time) is the primary means of employment for everyone with people speculating on which industry will do better based on the season. Bitcoin is, however, immortalized as the only currency accepted around the world across all industries. Global poverty has been eradicated and financial inequality is very low around the world with cryptex trading available to everyone. A decentralized financial system was the game changer as it led to an explosion of prosperity through relatively easy cryptex trading. You investigate your trade on your holophone. You're doing very well and will be making another $50,000 this week. You smile to yourself as you glance out the window of your noiseless starjet (silent speed jets that ferry people around the world in minutes). The city below is a great wonder as people said. You're on vacation in Earth City. It's your first time. You came for it. The statue of autonomy or "the human spirit" as it is fondly called. Many weep upon first beholding its glory. The symbol of human victory on the earth. It appears on the horizon. The shiny bust of a crowned androgynous human child stops at the waist so it's neither male nor female. Completely transparent as if entirely made of glass, hence, the name human spirit. With both hands upraised in freedom, it holds Bitcoin (the first global crypto) in the right hand and a scroll in the left. Your ship does the ceremonial circling of the statue. Then it passes the scroll and you behold those legendary words. You read it in a low voice. "We humans hold that all of us are born free. Free to live, free to love, free to prosper!" A smile crawls up your face, and you resolve to uphold this great motto. Then you hear a phone ring. A familiar ancient music. It gets louder and louder. It's your phone. You were dreaming of course. You curse as you pick up your phone. It's your boss calling you to return to work. You cut the call and sigh in disappointment. That dream was just beautiful. Then it occurs to you: The current world is one big nightmare! WHAT DOES THIS MEAN Web3 is upon us. Cryptocurrencies are everywhere and blockchain infrastructure gets more sophisticated every day. Many crypto millionaires roam the earth to prove the real value of the technology. Decentralization is on its way. Below are the predictions you should know about web3; Decentralization is the future. Digital commodities e.g., NFTs, in-game items, virtual real estate, and decentralized exchange (DEX) will create a new industry. Currencies will become more globalized. Companies will become smaller and more personalized. Self-service will become the new way of operating the financial industry. HOW DO I PREPARE FOR AUTONOMY Educate yourself on cryptocurrencies, blockchain technology, and the metaverse. Invest in promising crypto coins. Participate in public web3 forums. Fund web 3 projects if you can. Learn how to make money on your own from the internet.

Behold: The Autonomy We Always Sought

দেখুন: যে স্বায়ত্তশাসন আমরা সবসময় চেয়েছি

Siehe: Die Autonomie, die wir immer gesucht haben

He aquí: la autonomía que siempre buscamos

Voici : l’autonomie que nous avons toujours recherchée

देखिए: वह स्वायत्तता जो हम हमेशा से चाहते थे

見よ、私たちが常に求めていた自律性

보라: 우리가 항상 추구했던 자율성

Eis: a autonomia que sempre buscamos

Вот: автономия, к которой мы всегда стремились

Bakın: Her Zaman Aradığımız Özerklik

Kìa: Quyền tự chủ mà chúng tôi luôn tìm kiếm

看哪：我们一直寻求的自主权

Stories, News & Mentions about BONDA

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