报告题目：Entropy，Ricci curvature and Lott-Villani-Sturm's synthetic geometry

报告时间：2024-01-10  14:30-15:30

报 告 人：李向东  教授  中国科学院数学与系统科学研究院

报告地点：老外楼概率统计系办公室

Abstract：In our recent work, we proved some entropy differential inequalities on Riemannian manifolds with suitable Ricci curvature  condition. Moreover,  we proved  that the rigidity models are Einstein manifolds.  Our work provides an information-theoretic approach to the  synthetic geometry on Riemannian manifolds and its further extension to metric measure spaces developed by Lott-Villani and Sturm. In this talk, we will present these results.