每周四10:00-11:30, 2023.03-2023.06

Zoom Meeting（ID: 81809698927 & Password: 202303）

Organized by: Chang Shu-Cheng, Lin Chien, Luo Yong

Speaker: 刘世平（中国科学技术大学）

Time:  9:15-10:15, Dec 29，2023

Venue: 数学中心研讨室（至善楼602）

Online: Zoom: 811 5638 1768 (Password: msrc)

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

Abstract:  

A signed graph is a graph whose edges are labelled by a signature. It serves as a simple model of discrete vector bundles. We will survey the application of this structure in the study of linear and nonlinear spectral graph theory. The topics include discrete nodal domain theorems, eigenvalue estimates via vertex/edge isoperimetric constants, etc. This talk is based on joint works with Chuanyuan Ge and Dong Zhang, and with Chunyang Hu.

Cirriculum Vitae:

刘世平，中国科学技术大学教授，博士生导师。2012年于德国莱比锡马普数学所和莱比锡大学获博士学位。 2013年到2016年在英国杜伦大学任研究助理。2016年至今在中国科学技术大学工作。目前主要研究图上的几何分析问题，特别是谱图理论，离散曲率等。成果发表于Adv. Math.、J. Reine Angew. Math.、Math. Ann.、 Calc. Var. PDE等期刊。