报告题目 (Title)：Heintze-Karcher’s inequality and Alexandrov’s soup bubble theorem
报告人 (Speaker)：夏超 教授（厦门大学）
报告时间 (Time)：2022年6月17日(周五) 10:00-11:00
报告地点 (Place)：腾讯会议（716-8675-1741）
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：Heintze-Karcher’s inequality is an interesting geometric inequality for embedded closed hypersurfaces, which can be used to prove Alexandrov’s soup bubble theorem on embedded closed CMC hypersurfaces. In this talk, we will introduce our recent work on Heintze-Karcher-type inequality for capillary hypersurfaces, via two different methods. As an application, we prove Alexandrov’s soup bubble theorem for hypersurfaces with capillary boundary in the half-space and the half-ball. Moreover, we prove new Alexandrov’s theorem and non-existence result for embedded CMC capillary surfaces in a wedge. This talk is based on ongoing joint work with Xiaohan Jia, Guofang Wang and Xuwen Zhang.
