GTA Seminar: Dwilewicz -- Hartogs Type Holomorphic Extensions

Speaker: Prof. Roman Dwilewicz (Missouri University of Science and Technology, USA)

http://people.mst.edu/faculty/romand_profile.html

Time: Thursday, Jan. 17, 12NOON--1PM

Room: Carslaw 707A

Lunch with the speaker: after the talk, with reservation at Law Annex Cafe at 1:15PM.

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Title: Hartogs Type Holomorphic Extensions

Abstract: in the talk there will be given a short review of 
holomorphic extension problems starting with the famous Hartogs 
theorem (1906), via Severi-Kneser-Fichera-Martinelli theorems, 
up to some recent results on global holomorphic extensions for 
unbounded domains obtained together with Al Boggess (Arizona 
State Univ.) and Zbigniew Slodkowski (Univ. Illinois at Chicago). 
The classical Hartogs theorem solves the extension problem for 
bounded domains in C^n and clearly shows the difference between 
one and many-variables cases. The theorem is considered as an 
informal beginning of Complex Analysis in Several Variables. 
Surprisingly, not many results are in the unbounded case even 
though it is important not only in Complex Analysis, but also 
in Partial Differential Equations and Algebraic Geometry. 
The problem appeared non-trivial and the work is in progress. 
The talk will be illustrated by many figures and pictures.

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GTA Seminar Website:

http://www.maths.usyd.edu.au/u/SemConf/Geometry/