报告题目：Covering theorem and embolic volume of compact manifolds

报 告 人：陈立志（兰州大学）

报告时间：2020.1.4 16:00-16:50

报告地点：数学中心 学术报告厅 （至善楼 234）

主 持 人：李平

摘 要：

In the talk, we present some covering methods on Riemannian manifolds and show its applications to curvature free inequalities. Curvature free inequalities include Berger’s embolic inequality and Gromov’s systolic inequality. The method of applying covering argument to systolic inequality is called covering trick by Berger.The embolic volume of a compact manifold is defined in terms of optimal constant in Berger’s embolic inequality. We prove a result of relating embolic volume to Betti numbers by applying covering trick.