Entropy, Sobolev Inequaity and Ricci Flow | BIMSA-BIT Differential Geometry Seminar-清华大学求真书院

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

来源： 07-12

时间：2023-07-12 Wed 09:00-10:00

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

组织者：Kotaro Kawai, Sebastian Heller, Lynn Heller, Chao Qian

主讲人：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.

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BIMSA-BIT Differential Geometry Seminar | TBA
AbstractThe venue isWencui Building I202, Liangxiang Campus, BIT (北京理工大学良乡校区，文萃楼I202). Those wishing to participate should contact Prof. Chao Qian (6120150035@bit.edu.cn) for the entrance permission to the campus
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Abstract：In recent years the study of K-unstable Fano manifolds atracts people's attention. In this talk I will introduce the geometric quantization of the Kähler-Ricci flow and the associated entropy functional introduced by Weiyong He. The "quantized entropy" coincides with the terminology in the quantum information theory. We also show some convergence results and discuss about the finite-d...
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书院学术

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

BIMSA-BIT Differential Geometry Seminar | TBA

Differential Geometry Seminar | Quantization of the Kähler-Ricci flow, the entropy, and the optimal degeneration for a Fano manifold

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