Essential self-adjointness of the Laplacian on weighted graphs

讲座题目Lecture theme：Essential self-adjointness of the Laplacian on weighted graphs
讲座时间 Datetime: 2025年2月14日，星期五，15:00-16:00
地点 Venue: 中大珠海校区海琴二号A457
报告人 Speaker: Radoslaw Wojciechowski 教授
单位 Affiliation: City University of New York (US) 
主持人 Host： Davide Bianchi 副教授
报告摘要 Abstract:
We will present some characterization for the essential self-adjointness of the Laplacian on weighted birth-death chains and star-like graphs. These characterizations involve the edge weights and vertex measure as well as a notion of capacity. We will also present some connections to the existence of harmonic functions which are square summable.This is based on joint work with Atsushi Inoue, Sean Ku and Jun Masamune.

报告人简介：
Radoslaw Wojciechowski is a Professor at York College and Doctoral Faculty at the Graduate Center, both of the City University of New York. He has published on the geometric analysis on graphs and manifolds, with a focus on spectral theory and the heat equation, including the textbook "Graphs and discrete Dirichlet spaces" written collaboratively with Matthias Keller and Daniel Lenz. His work is funded by the National Science Foundation and the Simons Foundation.