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Texas A&M University
Mathematics

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.