汪湜博士专题学术报告

2018-05-28 来源:数学科学研究中心

活动地点:CMS 201

活动类型:学术报告

主讲人:汪湜博士

活动时间:2018-05-29 14:00:00--2018-05-29 15:00:00

活动内容:

汪湜博士专题学术报告


报告题目:Simplicial volume of nonpositively curved manifolds

报告人:汪湜 博士 (Indiana University)

时间:2018年5月29日(周二)下午2点

地点:数学中心201


Abstract: The notion of simplicial volume of a closed oriented topological manifold was introduced by Gromov and Thurston, it measures how efficiently the fundamental class can possibly be represented by a singular cycle. While being topological, it is closed related to the geometry of the manifold. In this talk, we explore its relations to curvatures. We show that for manifolds admitting a nonpositively curved metric together with a single point rank condition, the simplicial volume is positive. We use this to give a new proof of a conjecture of Gromov in dimension 3.