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SUMMARY:The $\\bar\\partial$-problem on unbounded domains - Andy Raich (Ar
 kansas)
DTSTART:20151005T140000Z
DTEND:20151005T150000Z
UID:TALK61356@talks.cam.ac.uk
CONTACT:Harsha Hutridurga
DESCRIPTION:In this talk\, I will discuss recent progress with Phil Harrin
 gton on understanding the $\\bar\\partial$-problem in $L^2$ and $L^2$-Sobo
 lev spaces on not necessarily pseudo-convex unbounded domains. I will disc
 uss the challenges in moving from bounded to unbounded domains\, and in pa
 rticular\, finding good defining functions\, derivatives\, and Sobolev spa
 ces in which to work. Time permitting\, I will conclude with a short expla
 nation 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.
LOCATION:CMS\, MR13
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