Szego Seminar: "Geometry of a Domain and Analytic Functions"

Robert Rahm, Washington University in St. Louis

Abstract: In this talk, I will present an interesting paper by Hansong Huang and Dechao Zheng. Let P be a polygon in C, and consider the Bergman space on this domain (that is analytic functions on P that are in L^2 if P). There are interesting connections between certain algebras of operators on this Bergman space and the interior angles of the polygon. In short, these certain operator algebras can detect if P as all equal interior angles.