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The 71st Midwest Partial Differential Equations Seminar
May 11-12, 2013
Room TBA East Hall
University of
Michigan
Ann Arbor, MI
Abstract Detail
| Title: Geometric Inequalities for Hypersurfaces
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 these 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 a mass-capacity inequality for black holes.
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Fernando Schwartz
University of Tennessee
Email: fernando@math.utk.edu
Phone: 865-230-2930
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Sponsors
National Science Foundation,
Department of Mathematics at the University of Michigan
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