一、题目：

Curvature, diameter and eigenvalues of amply regular graphs

二、主讲人：

刘世平

三、摘要：

In differential geometry, a general principle is that the information about curvature at every point leads to diameter and eigenvalue bounds. Analogous results have been established for graphs. In this talk, we elaborate the point that the local regularity conditions of an amply regular graph play a role very similar to curvature. We will discuss sharp diameter and eigenvalue bounds for amply regular graphs derived from estimating the Lin-Lu-Yau curvature of each edge. Our curvature estimates involve new ideas relating discrete Ricci curvature with local matching properties. This talk is based on joint works with Xintian Li, Xueping Huang, and Qing Xia.

四、主讲人简介：

刘世平，中国科学技术大学教授，博士生导师。2006年在山东大学获学士学位。2012年于德国莱比锡马普数学所和莱比锡大学获博士学位。曾入选国家青年人才计划。主要感兴趣于图上的几何分析问题，特别是谱图理论，离散曲率等。

五、邀请人：

王光辉 数学学院教授

六、时间：

3月23日（周四）10:45-11:45

七、地点：

中心校区知新楼B座924报告厅

八、主办：

山东大学数学学院