报告人：Professor Jie Xiao (加拿大纽芬兰纪念大学）

时间：(1) 2023年11月7日(周二) 北京时间20:30-21:30

腾讯会议：308-6527-4294

(2) 2023年11月14日(周二) 北京时间20:30-21:30

腾讯会议：308-6527-4294

摘要: This series of talks will present an intensive study of the major geometric aspects of the so-called p-harmonic capacitances within mathematical physics living on Euclidean spaces. Below is the content:

0. Introduction

1. Foundation of p-harmonic capacitances

2. Upper or lower domination of p-harmonic capacitances

3. Isoperimetry of global p-harmonic capacitances

4. Isoperimetry of local p-harmonic capacitances

专家简介: Dr. Xiao's research and teaching interests lie in geometric analysis and partial differential equations. In particular, Dr. Xiao works on the interactions between harmonic analysis, complex variables and operator theory, but also applies techniques coming from function spaces and potential theory to the study of conformal-differential geometry and heat equations, Navier-Stokes equations and wave equations. So far, Dr. Xiao has more than 200 articles which are publicated in leading international mathematics journals including Adv. Math., J. Math. Pures Appl., J. Eur. Math. Soc and etc. Meanwhile, Dr. Xiao is the author of 6 textbooks and monographs. In addition, Dr. Xiao serves as Editor-in-Chief of both two journals Advances in Analysis and Geometry and Canadian Mathematical Bulletin. Dr. Xiao is also the Division Editor of Journal of Mathematical Analysis and Applications.