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UID:20250707T041816EDT-1308SxUsZ6@132.216.98.100
DTSTAMP:20250707T081816Z
DESCRIPTION:Title: Optimal transport and quantitative geometric inequalitie
 s.\n\nAbstract: The goal of the talk is to discuss a quantitative version 
 of the Levy– Gromov isoperimetric inequality (joint with Cavalletti and Ma
 ggi) as well as a quantitative form of Obata’s rigidity theorem (joint wit
 h Cavalletti and Semola). Given a closed Riemannian manifold with strictly
  positive Ricci tensor\, one estimates the measure of the symmetric differ
 ence of a set with a metric ball with the deficit in the Levy–Gromov inequ
 ality. The results are obtained via a quantitative analysis based on the l
 ocalisation method via L 1 -optimal transport. For simplicity of presentat
 ion\, the talk will present the results in case of smooth Riemannian manif
 olds with Ricci Curvature bounded below\; moreover it will not require pre
 vious knowledge of optimal transport theory.\n\n \n\nVisit the Web site: h
 ttps://archimede.mat.ulaval.ca/agirouard/SpectralClouds/\n
DTSTART:20220620T160000Z
DTEND:20220620T170000Z
SUMMARY:Andrea Mondino (University of Oxford)
URL:/mathstat/channels/event/andrea-mondino-university
 -oxford-339751
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