报告人：夏超（厦门大学）

邀请人：张宁

报告时间：2022年10月11日（星期二）10:00-12:00

报告地点：腾讯会议：686 2629 0650

报告题目：Quermassintegrals and Alexandrov-Fenchel inequalities for capillary hypersurfaces in the half-space

报告摘要：For capillary hypersurfaces in the half-space, that are hypersurfaces with boundary which intersects the hyperplane at a constant angle, a suitable family of quermassintegrals (involving curvature integrals) are defined. We establish Alexandrov-Fenchel type inequalities for star-shaped, k-convex, capillary hypersurfaces, which is a natural generalization of the classical relative isoperimetric inequality in the half-space. This is joint work with Guofang Wang and Liangjun Weng.

报告人简介：夏超，厦门大学教授，闽江学者特聘教授。2007年本科毕业于四川大学，2012年在德国弗莱堡大学获得博士学位，之后在德国应用数学马普所和加拿大麦吉尔大学从事过博士后研究，主要研究微分几何中出现的椭圆及抛物型偏微分方程，目前在J. Diff. Geom., Arch. Ration. Mech. Anal., Adv. Math., Math. Ann., Trans.AMS, Comm. Anal. Geom.Indiana Univ. Math. J, IMRN, Cal.Var. PDE,JDE, Ann. Glob. Anal. Geom.,等国际著名数学期刊上发表论文29篇。