20220510 翁良俊 The Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball

【偏微分方程与几何分析学术报告】

报告题目：The Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball

报告人：翁良俊 博士（上海交通大学）

会议时间：2022/5/12 (周四) 10:00-11:30

腾讯会议ID: 111-242-813

报告摘要: In this talk, we will discuss the relative Alexandrov-Fenchel inequality.

Firstly we introduce the quermassintegrals for convex hypersurfaces with capillary boundary in the unit Euclidean ball and derive its first variational formula. Then by using a locally constrained nonlinear curvature flow, which preserves the n-th quermassintegral and non-decreases the k-th quermassintegral, we obtain the Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in unit ball. The talk is based on a recent joint work with Prof. Chao Xia.