The application of category theory in these domains can take different forms. More recently, category theory has become an unexpectedly useful and economical tool for modeling a range of different disciplines, including programming language theory, quantum mechanics, systems biology, complex networks, database theory, and dynamical systems. Learn more », © 2001–2018 » No enrollment or registration. Massachusetts Institute of Technology. Applied Category Theory Conference: July 6–10, 2020. General information Summary: Category theory is a relatively new branch of mathematics that has transformed much of pure math research. Both activities this year will take place online, due to the Covid-19 outbreak. Idea. Applied Category Theory (ocw.mit.edu) 508 points by lelf on Apr 19, 2019 | hide | past | favorite | 106 comments: eindiran on Apr 19, 2019. It serves to collect and disseminate research, resources, and tools for the development of applied category theory. Home Mathematics ), Learn more at Get Started with MIT OpenCourseWare, MIT OpenCourseWare is an online publication of materials from over 2,500 MIT courses, freely sharing knowledge with learners and educators around the world. The precise dates for the other big category theory conference, CT2020, have not yet been decided. We don't offer credit or certification for using OCW. Class participation is 25% of your grade. Catlab.jl is a framework for applied and computational category theory, written in the Julia language. » Students taking the course for credit will be required to complete three problem sets. Explore materials for this course in the pages linked along the left. The technical advance is that category theory provides a framework in which to organize formal systems and by which to translate between them, allowing one to transfer knowledge from one field to another. This year the conference will take place on July 6-10, 2020. In particular, we'll use examples from the Haskell programming language to motivate category-theoretic constructs, and then explain … Mathematics Freely browse and use OCW materials at your own pace. If you're in Boston you can actually go to the course. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. The instructors welcome feedback about the book. This is one of over 2,400 courses on OCW. Chapter 1: Generative Effects: Orders and Adjunctions, Chapter 2: Resources: Monoidal Preorders and Enrichment, Chapter 3: Databases: Categories, Functors, and (Co)Limits, Chapter 4: Co-design: Profunctors and Monoidal Categories, Chapter 5: Signal Flow Graphs: Props, Presentations, and Proofs, Chapter 6: Circuits: Hypergraph Categories and Operads, Chapter 7: Logic of Behavior: Sheaves, Toposes, Languages. » Download files for later. Use OCW to guide your own life-long learning, or to teach others. MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum. If anyone is looking to get into Category Theory as a programmer, I would recommend giving Bartosz Milewski's Category Theory for Programmers a shot[0]. Applied category theory is an academic discipline in which methods from category theory are used to study other fields including but not limited to computer science, physics (in particular quantum mechanics ), control theory, natural language processing, probability theory and causality. Home In this course we explain how category theory—a branch of mathematics known for its ability to organize the key abstractions that structure much of the mathematical universe—has become useful for writing elegant and maintainable code. Applied category theory is a topic of interest for a growing community of researchers, interested in studying systems of all sorts using category … Rather than try to give a comprehensive treatment of these topics—which include adjoint functors, enriched categories, proarrow equipments, toposes,andmuchmore—wemerelyprovideatasteofeach.Wewanttogivereaders There's no signup, and no start or end dates. There will be no exam. In this course, we will give seven sketches on real-world applications of category theory. Category Baez ACT 2019: Online Course 0 points Started by John Baez Comments 1 Last comment by Pierre Prado Last active 19 Aug 2019. It is an invitation to discover advanced topics in category theory through concrete real-world examples. The Applied Category Theory Conference and Adjoint School will take place at the Department of Computer Science of the University of Oxford between Monday 15 and Friday 19 July, 2019, and Monday 22 and Friday 26 July, 2019, respectively. Fourth Annual International Conference on Applied Category Theory (ACT 2021), July 12–16, 2021, online and at the Computer … This book offers a self-contained tour of applied category theory. An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. Modify, remix, and reuse (just remember to cite OCW as the source. The course was based on this book: Brendan Fong and David Spivak, Seven Sketches in Compositionality.See also the website with videos. No enrollment or registration. Your use of the MIT OpenCourseWare site and materials is subject to our Creative Commons License and other terms of use. Courses For help downloading and using course materials, read our frequently asked questions. Massachusetts Institute of Technology. MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum. Knowledge is your reward. After the online meetings, there will be a two-week event at MIT, from June 29th to July 10th 2020. We presently meet online each Thursday, 12noon to 1pm Boston time (UTC-5). MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum. Knowledge is your reward. This site originated from discussions at the Computational Category Theory Workshop at NIST on Sept. 28-29, 2015.
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