Complex integrals and Kuperberg's proof of the Bourgain-Milman theorem

Abstract: I will show a function version of the Bourgain-Milman theorem: $$ \int e^{-\phi}\int e^{-\phi^*}\geq \pi^n $$, if $\phi$ is a symmetric convex function on $\R^n$ and $\phi^*$ is its Legendre transform. The proof is inspired by Kuperberg's proof of the Bourgain-Milman theorem but uses complex analytic techniques.

differential geometrydynamical systemsgeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and Dynamics seminar

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