【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.
