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Graduate Student Analysis Seminar

The One vs The Many: Domains of Holomorphy

Chloe Urbanski, Rutgers University

Location:  Hill GSL
Date & time: Monday, 09 October 2017 at 5:00PM - 6:00PM

 
Abstract:  
 

Roughly speaking, a domain of holomorphy is an open set in C^n on which we can find a holomorphic function which can not be extended holomorphically past the boundary. Domains of holomorphy are key to solving a lot of problems in Several Complex Variables (SCV), but the question of which sets are domains of holomorphy is completely different in one complex dimension. We'll discuss this difference, why these domains are so important in two or more dimensions, and time permitting, some equivalent characterizations of these sets. Most proofs will be sketched or skipped entirely, but examples will be plentiful.

I should also note that this talk is given in preparation for my oral qualifying exam.

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
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