报告题目：Ricci flatness and discrete curvatures of graphs

报告人：刘世平 教授（中国科学技术大学）

报告时间：2020年12月31日周四 14:00-15:00

报告地点：（腾讯会议ID：47530735615）

摘要：The concept of Ricci-flat graphs was introduced by Chung and Yau in 1996, in the context of log-Sobolev inequalities and logarithmic Harnack inequalities on graphs. In this talk, we will explain that checking whether a given vertex is Ricci-flat reduces to determining the existence of a square matrix with row-wise and column-wise non-repeating entries. We will further discuss various connections of Ricci-flatness with discrete Ricci curvatures defined via optimal transportation and Bochner formula. This is based on a joint work with David Cushing, Supanat Kamtue, Riikka Kangaslampi and Norbert Peyerimhoff.

报告人简介： 2012年博士毕业于德国莱比锡马普数学所。曾在英国杜伦大学从事博士后研究。现为中国科学技术大学特任教授。研究兴趣是离散曲率、图谱等离散几何分析问题。