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On the Nash entropy and volume estimate along Ricci flow

2022-03-09 08:35:07
报告人 Wangjian Jian 时间 09:00-10:00
地点 ZOOM 2022
月日 03-14

Time: 09:00-10:00, Monday, March 14th, 2022

Venue: ZOOM


Host: Dr. Liding Huang

Speaker: Dr. Wangjian Jian, The Academy of Mathematics and Systems Science of the Chinese Academy of Sciences

Title: On the Nash entropy and volume estimate along Ricci flow


Biography:

Dr. Wangjian Jian, an assistant research fellow in the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences. He obtained his Ph.D degree from Peking University in 2019. His research findings were published in internationally recognised journals such as Adv. Math.


Abstract:

We will first review the volume non-collapsing estimate along Ricci flow introduced by Perelman, and some of its refinements made by Zhang Q, Wang, and Tian-Zhang. Then we will talk about the Nash entropy introduced by Hein-Naber, which was used by Bamler to control the volume along Ricci flow locally. After introduce its basic properties, we will show how to use Nash entropy to improve Perelman's volume estimates.


ZOOM ID: 835 7288 2532

Passcode:527175