The City College of New YorkCCNY
Department of Mathematics
Division of Science

Geometric Inequalities for Hypersurfaces

Mathematics Colloquium

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.

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