Yi Lai 赖仪Stanford UniversityYi Lai is currently a Szego assistant professor at Stanford University. She obtained her bachelor's degree from Peking University in 2016. She obtained her P.h.D from UC Berkeley in 2021 under the supervision of Richard Bamler. Her research focuses on geometric analysis and Ricci flow.AbstractRicci flow is an important tool in geometric analysis. There have been re...
AbstractFirst, 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