报告人：夏超 教授（厦门大学）

题目：Alexandrov’s theorem for anisotropic capillary hypersurfaces in half-space
  时间：2023年4月18日星期二上午10:00

地点：海纳苑2幢105

Abstract: The minimizers for surface free energy functional, which is the sum of anisotropic surface tension (or parametric elliptic functional) and the wetting energy functional, in half-space are known to be truncated Wulff shapes. The anisotropic capillary hypersurfaces arise as the critical points of the free energy functional under volume constraint. In this talk, we prove an Alexandrov-type theorem saying that any embedded anisotropic capillary hypersurfaces in half-space are truncated Wulff shapes. The main ingredients are a Heintze-Karcher-type inequality and a Minkowski-type formula. The talk is based on a joint work with Xiaohan Jia, Guofang Wang and Xuwen Zhang.

报告人简介：夏超，厦门大学教授，闽江学者特聘教授，德国弗莱堡大学博士。曾入选国家高层次青年人才计划，获福建省青年科技奖。主要研究微分几何中出现的椭圆及抛物型偏微分方程，在JDG, ARMA, Adv. Math., Math. Ann., Calc Var 等著名学术期刊上，在超曲面几何中的等周型不等式和相关刚性、几何自由边界问题、预定曲率和曲率流、特征值估计等方面取得了一系列研究成果。