报告人：Siyuan Lu   Hill 助理教授

         Rutgers University

题目：On a localized Penrose inequality

时间：2018年07月10日上午11:00

地点：海韵实验楼105

摘要：We consider the boundary behavior of a compact manifold with nonnegative scalar curvature. The boundary consists of two parts: \Sigma_H and \Sigma_O, where \Sigma_H denotes outer minimizing minimal hypersurface. Under suitable assumption on \Sigma_O, we establish a localized Penrose inequality, which can be viewed as a quasi-local version of the Riemannian Penrose inequality. Moreover, in dimension 3, we prove that the equality holds iff it's a domain in Schwarzschild manifold. This is based on joint works with Pengzi Miao.

报告人简介：Siyuan Lu是 Rutgers大学的  Hill 助理教授， 2016年博士毕业于McGill大学。他的主要研究方向是非线性几何PDE，目前的兴趣包括等距嵌入和拟局部质量问题，以及Monge-Ampere方程。他的论文发表在如Invent. Math., CAG, IMRN等杂志上。

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