地点：海纳苑2幢204室

时间：12月8日，16:00 - 17:20

报告人：李宇 Yu Li（中国科学技术大学几何物理中心）

摘要:  

Pretalk: Gromov–Hausdorff Convergence and Łojasiewicz Inequalities

Abstract: In this pretalk, I will review basic properties and results of Gromov–Hausdorff convergence. I will also give a brief introduction to the Łojasiewicz inequality and highlight its applications across several geometric settings.

Research talk: Strong Uniqueness of Cylindrical Tangent Flows in Ricci Flow and Applications

Abstract: I will present a recent result establishing strong uniqueness of cylindrical tangent flows in Ricci flow via a Łojasiewicz inequality for the pointed entropy. As applications, I will discuss consequences for the singular set of noncollapsed Ricci-flow limit spaces—obtained as Gromov–Hausdorff limits of closed Ricci flows with uniformly bounded entropy. In particular, we derive an L^1 curvature estimate for four-dimensional closed Ricci flows and resolve Perelman’s bounded diameter conjecture. This is joint work with Hanbing Fang.