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University of Cambridge > Talks.cam > Category Theory Seminar > The Legendre-Fenchel transform from a category theoretic perspective

## The Legendre-Fenchel transform from a category theoretic perspectiveAdd to your list(s) Download to your calendar using vCal - Simon Willerton (University of Sheffield)
- Tuesday 05 March 2019, 14:15-15:15
- MR4, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Tamara von Glehn. 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 $\overline{ \mathbb{R}}:=[-\infty,+\infty]$. 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 (eg. in Galois theory or algebraic geometry) arise from a relation between sets. I won’t assume knowledge of the Legendre-Fenchel transform. This talk is part of the Category Theory Seminar series. ## This talk is included in these lists:- All CMS events
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