Entropy, Sobolev Inequaity and Ricci Flow | BIMSA-BIT Differential Geometry Seminar

Time：2023-07-12 Wed 09:00-10:00

Venue：A3-1-103 ZOOM: 928 682 9093（PW: BIMSA）

Organizer：Kotaro Kawai, Sebastian Heller, Lynn Heller, Chao Qian

Speaker：Rugang Ye University of California, Santa Barbara

Abstract

First, the concept of entropy in physics and geometry wil be discussed. In particular, Perelman’s W-entropy will bereviewed. Then the relation between entropy and Sobolev inequality and the uniform Sobolev inequality along the Ricci flow due to Rugang Ye will be presented. Some geometric applications such as in the case of Gromov almost flat manifolds will also be presented.

DATEJuly 12, 2023

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