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...
AbstractThe curvature tensor captures the essential geometry of a Riemannian manifold. Curvaturebounds have important geometric, analvtical and topoloaical conseauences, in tum. these can beused for axiomatic characterizations of curvature bounds and extended to general metric spaces.Problems of modemn data analysis lead to a new perspective on curvature that will bedeveloped in this lecture, a...