时间：2025年5月28日（周三）15:00-16:30
地点：E4-233
主持人：Xin Fu, ITS
主讲人：Xiaochun Rong, Rutgers University New Brunswick
主讲人简介：Xiaochun Rong received his undergraduate and master's degrees from Capital Normal University (1977-84), and a Ph.D. from State University of New York at Stony Brook in 1990. Rong was a Ritt assistant professor at Columbia University (1990-94), and an assistant professor at University of Chicago (1994-96). Since 1996, he has been a faculty at Rutgers University, and a distinguished professor since 2008. Rong's research fields are in Differential Geometry and Metric Riemannian Geometry, where he has published 55 papers; 25 of which were in the following journals: Adv. Math., Amer. J. Math., Ann. of Math, Duke Math., GAFA., Invent. Math., J. Diff. Geom. Rong received a Sloan Research Fellowship (1996-98), was a 45-minute speaker at 2002 International Congress of Mathematicians, and became a fellow of the American Mathematical Society in 2017.
讲座主题：Quantitative maximal rigidity of Ricci curvature bounded blow
讲座摘要: In Riemannian geometry, a maximal rigidity on an n-manifold M of Ricci curvature bounded below by (n - 1)H is a statement that a geometric or a topological quantity of M is bounded above by that of an n-manifold of constant sectional curvature H, and "=" implies that M has constant sectional curvature H.
A quantitative maximal rigidity of Ricci curvature bounded below by (n - 1)H is a statement that if a geometric quantity is almost maximal, then M admits a nearby metric of constant sectional curvature H (often additional conditions are required). In this talk, we will survey some recent advances in Metric Riemannian geometry in establishing quantitative maximal rigidities.
