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Online Seminar Report 

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

Speaker: 陈丽娜 (南京大学)

 Abstract: 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 a 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 Beijing 

Time：2022-11-10(周四)上午 9:00-10:00

Online #Tencent Metting (VooV): 985-303-0062 

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