Several Complex Variables Seminar

Date: October 28, 2021

Time: 2:00PM - 3:00PM

Location: BLOC 624

Speaker: John N. Treuer, Texas A&M University

Title: Rigidity Theorems on planar domains

Abstract: In this talk, using the analytic and logarithmic capacity we will investigate extremal properties of several kernel functions including the Bergman, Szego, higher-order Bergman kernels. We will then explore rigidity results concerning the logarithmic capacity and the sublevel sets of the Green's function. This is joint work with Xin Dong (University of Connecticut) and Yuan Zhang (Purdue University Fort Wayne).