ACT@UCR Seminar: The Legendre Transform: a Category Theoretic Perspective - Simon Willerton скачать в хорошем качестве

ACT@UCR Seminar: The Legendre Transform: a Category Theoretic Perspective - Simon Willerton

The Legendre-Fenchel transform is a classical piece of mathematics with many applications. In this talk I’ll show how it arises in the context of category theory using categories enriched over the extended real numbers [-∞,+∞]. It turns out that it arises out of nothing more than the pairing between a vector space and its dual in the same way that the many classical dualities (e.g. in Galois theory or algebraic geometry) arise from a relation between sets. Slides and more: https://johncarlosbaez.wordpress.com/... This talk on 2020 May 27 is part of the Applied Category Theory at U. C. Riverside Seminar: https://sites.google.com/ucr.edu/actucr/