Talk information

Date: Sunday, June 8, 2025
Time: 10:10–11:00
Place: Schreiber 309
Speaker: Tomer Milo (Tel Aviv University)
Title: On the Figiel-Lindenstrauss-Milman inequality

Abstract:

The Figiel-Lindenstrauss-Milman inequality states that for any centrally-symmetric polytope $P$ in $n$ dimensions, the inequality $\log(|F|)\log(|V|) > cn$ holds. Here $V$ and $F$ are the sets of the vertices and facets of $P$ respectively, and $c>0$ is an absolute constant. This inequality was obtained as a corollary of Dvoretzky’s theorem. We will see an alternative proof which is short and elementary, and show that this inequality is tight (up to a constant) in almost every way.