学术报告

Stable capillary hypersurfaces supported on a horosphere in the hyperbolic space-国金宇(清华大学)

几何与分析联合讨论班

报告题目: Stable capillary hypersurfaces supported on a horosphere in the hyperbolic space

报告人: 国金宇(清华大学)

摘要:In this talk, we study a stability problem of free boundary hypersurfaces, and also capillary ones whose boundary supported on a horosphere in hyperbolic space. We prove that umbilical hypersurfaces are only stable immersed capillary hypersurfaces whose boundary supported on a horosphere. Using the same method, we show that a totally geodesic hyperplane is only stable immersed type-II hypersurface whose boundary supported on a horosphere.This is a joint work with Prof.Guofang Wang and Prof.Chao Xia.

报告人简介:国金宇,2014年本科毕业于中国计量大学,2017年硕士毕业于中国科学院大学,2022年博士毕业于厦门大学。现为清华大学数学系博士后。主要研究方向为几何分析与微分几何。已在JGA、CVPDE、Adv.Math等国际期刊上发表过研究成果。

报告时间:2023年3月28日(周二)上午9:00-10:00

报告地点:腾讯会议:341-6463-3205  会议密码: 无

组织人: 毕宇晨(中国科学院),周杰(雷竞技raybat竞猜),朱锦天(北京大学)