报告题目 (Title)：Quasi-local mass and geometry of scalar curvature（拟局部质量和数量曲率的几何）

报告人 (Speaker)：史宇光 教授（北京大学）

报告时间 (Time)：2022年12月2日(周五) 10:00-11:00

报告地点 (Place)：腾讯会议（736-4167-6110）

邀请人(Inviter)：席东盟、李晋、张德凯

主办部门：理学院数学系

报告摘要：Let be an dimensional orientable Riemannian manifold, be a positive function on , Gromov’s asked under what conditions is induced by a Riemannian metric with nonnegative scalar curvature, for example, defined on , and is the mean curvature of in with respect to the outward unit normal vector? By the recent result due to . Miao we know such cannot be too large, so the next natural question is what is “optimal” so that such a fill-in for the triple exits? It turns out that the problem has deep relation with positive mass theorem, in this talk I will talk about some known results relate to this topic. My talk is based on my joint works with Dr. Wang Wenlong, Dr.Wei Guodong，Dr. Zhu Jintian, Dr.Liu Peng, Dr. Hu Yuhao.