Speaker
Xiangdong Li
(Chinese Academy of Sciences)
Description
Inspired by the work of Gromov and others, geometric analysis on metric measure spaces has become an important research topic in the interplay between geometry, analysis, and probability theory. An interesting question is whether one can extend Perelman's W-entropy formula from smooth Ricci flow to non-smooth metric measure spaces. In this talk, I will present recent progress on this problem.