报告题目：Quantitative rigidity of almost maximal volume entropy for both RCD spaces and integral Ricci curvature bound

摘要：The volume entropy of a compact metric measure space is known to be the exponential growth rate of the measure lifted to its universal cover at infinity. For a compact Riemannian n-manifold with a negative lower Ricci curvature bound and an upper diameter bound, it was known that it admits an almost maximal volume entropy if and only if it is diffeomorphic and Gromov-Hausdorff close to a hyperbolic space form. We prove the quantitative rigidity of almost maximal volume entropy for RCD-spaces with a negative lower Ricci curvature bound and Riemannian manifolds with a negative L^p-integral Ricci curvature lower bound. This is a joint work with Shicheng Xu.

报告人：陈丽娜，南京大学讲师

报告时间：2022年11月14日10:30-11:30

地点：腾讯会议

邀请人：李刚