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科学研究
报告题目:

Entropy,Ricci curvature and Lott-Villani-Sturm's synthetic geometry

报告人:

李向东 教授(中国科学院)

报告时间:

报告地点:

老外楼概率统计系办公室

报告摘要:

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.