QUANTITATIVE MAXIMAL RIGIDITIES OF RICCI CURVATURE BOUNDED BELOW

报告专家：Xiaochun Rong   （首都师范大学、美国Rutgers大学）

报告时间：2024年7月25日（星期四）

报告地点：西南中心516报告厅

报告题目：QUANTITATIVE MAXIMAL RIGIDITIES OF RICCI CURVATURE BOUNDED BELOW

报告摘要：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.

专家简介：戎小春是国际知名的度量黎曼几何专家, 教育部长江学者特聘教授, 曾获美国斯隆研究奖（Sloan Research Fellowships），美国数学会会士, 应邀在2002年国际数学家大会做45分钟报告。

戎小春教授于1978-1984年在首都师范大学获本科和硕士学位, 1990年在纽约州立大学石溪分校获博士学位。毕业后曾在美国哥伦比亚大学和芝加哥大学任教，现为美国罗格斯(Rutgers)大学数学系杰出（Distinguished）教授。戎小春教授主要从事微分几何和度量黎曼几何的研究，在黎曼几何中的收敛和塌陷理论及其应用、正曲率流形几何和拓扑， Alexandrov几何等方面作出了若干基础性的贡献，已在Adv. Math., Amer. J. Math.，Ann. of Math，Duke Math.，GAFA.，Invent. Math.，J. Diff. Geom等国际知名期刊上发表论文50余篇。

邀请人：盛利