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Categories - The Mathematics of Connection - IPAM at UCLA

Institute for Pure & Applied Mathematics (IPAM) via YouTube

Overview

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This course aims to teach learners about the application of category theory in modeling open systems that interact with their environment. The course covers topics such as the interface between open systems and their environment, composing open systems, and understanding the behavior of composite systems. The course introduces skills such as the theory of decorated cospans, chemical reaction networks, and compositional epidemiological modeling. The teaching method involves theoretical explanations, examples, and practical applications. This course is intended for individuals interested in mathematics, systems modeling, and collective intelligence.

Syllabus

Intro
Open Systems
Closed Systems
Your cell phone is not aturing machine
Your brain is not aturing machine
Intelligence is fundamentally collective
Categories
Books
Example
Theory of Decorated Cospans
Chemical Reaction Networks
Algebraic Julia
Flexible models of infectious disease
Compositional epidemiological modeling
Topos Institute
Conclusion

Taught by

Institute for Pure & Applied Mathematics (IPAM)

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