东南大学数学学院邀请专家申请表
报告人 | 单位 | 哥伦比亚大学 | |
报告题目 | Title: On Hypersurfaces in Hyperbolic Space | ||
报告时间 | 8月6日 15：00-16：00 | 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。、 | ||
