Venue: Room 204, Hai Na Yuan #2, Zijingang Campus

Time: 16:00 - 17:20, December 8

Speaker: 李宇 Yu Li  (University of Science and Technology of China)

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.