报告人: Pengzi Miao（University of Miami）

时  间: 2018年05月29日   14:00--15:00

地  点: 理科楼 LA106

摘  要:Given a closed surface S in the Euclidean space, besides its area and the volume it encloses, there is another basic geometric and physical quantity, called the capacity of the surface. Intuitively speaking, the capacity of S is the amount of electric charge that needs to be added to S to raise its electric potential by one unit. Mathematically speaking, it is encoded in the harmonic function that equals one on S and decays to zero at infinity. Beside surfaces in Euclidean spaces, the concept of capacity is also meaningful for surfaces in an asymptotically Euclidean space, which plays a basic role in the study of mathematical general relativity. Given an asymptotically Euclidean space whose boundary models the horizon of black hole, it was first observed by Bray that there exists an inequality between the mass of the space and the capacity of its black hole boundary. In this talk, I will introduce to audiences basic inequalities concerning capacity of surfaces in both the Euclidean space and asymptotically Euclidean spaces.

报告人简介:Pengzi Miao ，Associate Professor of Mathematics，Department of Mathematics ，University of Miami . His research interests are primarily in the fields of Differential Geometry and Mathematical Relativity.

EDUCATION

Ph.D. Mathematics. Stanford University 2003. Advisor: Richard M. Schoen.

B.S. Mathematics. Peking University 1998.

更多信息详见个人网页：http://www.math.miami.edu/~pengzim/

公司联系人: 李寒峰

欢迎广大师生积极参与！