中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

偏微分方程研讨班

Speaker: 马辉 教授（清华大学）

Inviter:邱国寰

Language: Chinese

Title: Rigidity of Hypersurfaces: From Alexandrov to Anisotropic Capillarity in Wedges

Time & Venue: 2025年12月9日（星期五） 9:30 - 10:30 & 思源楼S625

Abstract: This talk presents a unified approach to establishing rigidity theorems, based on the interplay between Heintze-Karcher-type inequalities and Minkowski formulae. We begin with the classical Alexandrov theorem for closed hypersurfaces, then extend the framework to capillary hypersurfaces in a half-space and a ball. The main focus is on our recent work on anisotropic capillary hypersurfaces inside a wedge. By establishing anisotropic versions of the key inequalities and reformulating the capillary boundary condition within this framework, we achieve a complete classification: the only solutions are truncated Wulff shapes. This talk is based on the joint work with Jiaxu Ma and Mingxuan Yang.

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Speaker: 谢振肖 副教授（北京航天航空大学）

Inviter:邱国寰

Language: Chinese

Title: On spectral properties of minimal surfaces of cohomogeniety 1 in S^3
Time & Venue: 2025年12月9日（星期五） 10:30 - 11:30 & 思源楼S625