Several Complex Variables Seminar
This semester, the seminar does not have a regular meeting time/room; it meets on an "as convenient" basis. Please contact
Emil Straube with questions and or suggestions.

Date Time 
Location  Speaker 
Title – click for abstract 

09/20 2:00pm 
BLOC 628 
Yi Wang TAMU 
On the pessential normality of principal submodules of the Bergman module on strongly pseudoconvex domains
We show that under a mild condition, a principal submodule of the Bergman module on a strongly pseudoconvex domain, generated by a holomorphic function defined on a neighborhood of its closure, is p essentially normal for p>n. Two main ideas are involved in the proof. The first is that a holomorphic function defined in a neighborhood 'grows like a polynomial'. This is illustrated in a key inequality that we prove in our paper. The second is that commutators of Toeplitz operators behave much better than the operator themselves.
This seminar is joint with the NonCommutative Geometry Seminar. 

09/29 1:50pm 
BLOC 628 
Gerardo Mendoza Temple University 
TBA (joint with MPHA Seminar) 

10/13 11:00am 
BLOC 220 
Blake Boudreaux TAMU 
The Boundary Behavior of Biholomorphic Maps: An Example by B. L. Fridman
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. 
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