学术报告:2018年8月6日15:00-16:00,庆杰,哥伦比亚大学

发布时间:2018-08-01浏览次数:134

东南大学数学学院邀请专家申请表

  

报告人

庆杰

单位

哥伦比亚大学

报告题目

Title: On Hypersurfaces in Hyperbolic Space

报告时间

86

1500-1600

地点

四牌楼校区数学学院会议室

邀请人

王小六

报告摘要

In this talk I will   report our recent works on convex hypersurfaces in hyperbolic space. To study   hypersurfaces in hyperbolic space analytically, one needs to find ways to   parametrize it, preferably globally. We consider two parametrizations:   vertical graph and hyperbolic Gauss map. To get a global parametrization, one   needs understand the interrelation of convexity and embeddedness. It is also   important to understand the asymptotic of the geometry at ends. In this talk   I will report some of our recent works on global and asymptotic properties of   hypersurfaces with nonnegative sectional curvature or Ricci curvature in hyperbolic   space, where our use of n-Laplace equations seems to be new.

  

报告人简介

庆杰,加州大学Santa Cruz分校教授。研究方向为非线性分析、调和分析、偏微分方程及其在微分几何、数学物理中的应用,在Conformal几何和其中的偏微分方程、相对论中的几何问题等方面做出了杰出的工作,在Invent. Math.J. Amer. Math. Soc.Comm. Pure Appl. Math.  Duke Math. J.等多个高水平期刊上均有著作。、