题目：Epsilon Regularity of Manifolds with Small Curvature Concentration

报告人：李文俊 助理教授（香港中文大学）

地点：致远楼101室

时间：2026年6月5日 星期五 10：00-11：00

Abstract：The Gromov compactness theorem asserts that closed manifolds with Ricci lower bound admits a convergent sub-sequence in Gromov–Hausdorff topology. In the presence of bounded curvature concentration, there had been many development in understanding the regularity of the limit space and the type of singularities, based on appropriate epsilon-regularity. In this talk, we will discuss the epsilon-regularity under small curvature concentration, bounded Sobolev constant and Ahlfors n-regularity, based on local Ricci flow smoothing. The new approach does not rely on Ricci curvature. We also discuss some application in gap theorems. This is based on joint works with T.-K. Lee and with Pak-Yeung Chan.

报告人简介：Man-Chun Lee is currently an Assistant Professor at The Chinese University of Hong Kong. Previously, he was a Boas Assistant Professor at Northwestern University and a Research Fellow at Warwick University. He got his PhD in mathematics at The Chinese University of Hong Kong under the supervision of Luen-Fai Tam. His research interests lie in the field of Riemannian geometry, complex geometry and geometric partial differential equation.

欢迎各位参加！