Signed graphs as a tool for studying the linear and nonlinear graph eigenvalue problems

讲座时间 Datetime: 2023年5月31日，星期三，14:00—15:30

地点 Venue: 腾讯会议311575752

报告人 Speaker: 刘世平 教授

单位 Affiliation: 中国科学技术大学

 Host：魏国栋 助理教授

报告摘要 Abstract:

A signed graph is a graph whose edges are labelled by a signature. It serves as a simple model of discrete vector bundle. We will explain nodal domain theorems for arbitrary symmetric matrices by exploring the induced signed graph structure. Applications to spectral theory of graph p-Laplacians will be discussed. For example, we will show that there is no other eigenvalue between the largest and the second largest variational eigenvalues of the graph p-Laplacian (p>1) on bipartite graphs. This talk is based on joint workw with Chuanyuan Ge and Dong Zhang.

报告人简介：

刘世平现任中国科学技术大学数学科学学院教授。刘世平教授于2012年在Max Planck Institute获得博士学位，导师是Jost教授。刘教授的研究方向是几何分析，在离散几何，谱几何等研究领域做出了非常优秀的工作，在Adv.Math, CVPDE, CAG, Ann. Henri Poincare等杂志发表论文30余篇。