Geometry/Topology Seminar
Tuesday July 7th, 2020
Time: 10:00 AM - 11:00 AM
Title: Optimal transport and quantitative geometric inequalities
Speaker: Andrea Mondino, University of Oxford
Abstract:
The goal of the talk is to discuss a quantitative version of the Levy-Gromov isoperimetric inequality (joint with Cavalletti and Maggi) as well as other geometric/functional inequalities (joint with Cavalletti and Semola). Given a closed Riemannian manifold with strictly positive Ricci tensor, one estimates the measure of the symmetric difference of a set with a metric ball with the deficit in the Levy-Gromov inequality. The results are obtained via a quantitative analysis based on the localisation method via L1-optimal transport.
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https://stonybrook.zoom.us/j/98175420903?pwd=RnBhcEVMcHZETXNTODZJanFCbG9pQT09
Meeting ID: 981 7542 0903