Title：Gauss-Bonnet-Chern mass and its related geometric problems

Speaker：王国芳，教授（Freiburg University）

Time: 9月04日, 9:00-11:00; 

      9月13日, 9:00-11:00; 

      9月18日, 9:00-11:00.

Room：东区管理科研楼  数学科学学院1418室

Abstract：In these lectures we first introduce the Gauss-Bonnet-Chern curvature, which is a generalization of the scalar curvature, and then use it to define a new mass for AF and AH manifolds. This mass relates many geometric quantities. We will talk about their relations and establish geometric inequalities, especially the Alexandrov-Fenchel inequalities in the hyperbolic space. (Lectures are based on the joint work with Yuxin Ge, Jie Wu and also Chao Xia)