报告题目: Heat kernel induced metric and its applications to spaces with Ricci curvature lower bounds

报告人：朱星宇（多伦多大学）

Zoom会议号：856 9350 9534 密码：1958

时间：2022年9月27日 09:00-10:00 

报告摘要: In this talk we will focus on the so-called RCD(K,N) spaces, which are spaces with Ricci curvature bounded below by K and dimension bounded above by N in some sense. The structure and regularity of such spaces have been one of the most important topics in the study of RCD(K,N) spaces. Its development is strongly motivated by the study of Ricci limit spaces. In particular, an intrinsic notion of a noncollapsed RCD(K,N) space is proposed by De Philippis-Gigli inspired by the theory of noncollapsed Ricci limit spaces. We will see in this talk how to characterize noncollapsed RCD(K,N) spaces using the heat kernel, and this in particular settles a conjecture of De Philippis-Gigli in 2017.