Several Complex Variables Seminar
Date: October 13, 2017
Time: 11:00AM - 12:00PM
Location: BLOC 220
Speaker: Blake Boudreaux, TAMU
Title: The Boundary Behavior of Biholomorphic Maps: An Example by B. L. Fridman
Abstract: This expository talk follows a construction by B. L. Fridman of two bounded domains in C^2 that are biholomorphically equivalent to the unit bidisc (and hence each other), but no biholomorphism between the domains can extend continuously to the boundary. This shows that there is no straightforward generalization of the classical theorem of Carathéodory to higher dimensions.