Geometric Inequalities for Hypersurfaces
Time and place
1 PM on Thursday, December 6th, 2012; NAC 6/113
Fernando Schwartz (University of Tennessee)
Abstract
I will begin this talk by recalling the classic inequalities of Alexandrov-Fenchel and Polya-Szego for convex surfaces of 3-dimensional Euclidean space. Then, I will present my joint work with Freire, which generalizes the inequalities -with rigidity- to both a larger class of hypersurfaces and to arbitrary dimensions. I will conclude by mentioning some applications of the results, including an inequality for black holes.