Michael Bialy, Tel Aviv University
Title: Rigidity of Mather $beta$-function for convex billiards.
Abstract:
I shall discuss an isoperimetric type inequality for Mather $beta$-function for convex billiards. It was recently found in a joint work with Stefano Baranzini and Alfonso Sorrentino. In particular we reprove the inequalities Length and Area of extremal polygons found by R. Schneider and E. Sas in the previous century.