Presentation Name: The L2-theory of the d-bar equation on unbounded domains
Presenter: Andrew Raich
Date: 2016-06-20
Location: 光华楼东主楼1801
Abstract:

In this talk, I will discuss recent progress with Phil Harrington on understanding the $/bar/partial$-problem in $L^2$ and $L^2$-Sobolev spaces on not necessarily pseudoconvex unbounded domains. I will discuss the challenges in moving from bounded to unbounded domains, and in particular, finding good defining functions, derivatives, and Sobolev spaces in which to work. Time permitting, I will conclude with a short explanation of how infinity can be thought of as a part of the boundary of the domain at which the metric and domain are poorly behaved.

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Annual Speech Directory: No.103

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