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The Nahm pole boundary conditions for the KW equations

Initial Data and Evolution Problems in General Relativity November 18, 2013 - November 22, 2013

November 21, 2013 (09:30 AM PST - 10:30 AM PST)

Speaker(s): Rafe Mazzeo (Stanford University)
Location: MSRI: Simons Auditorium

Primary Mathematics Subject Classification No Primary AMS MSC

Secondary Mathematics Subject Classification No Secondary AMS MSC

Video

v1205

Abstract

The Kapustin-Witten equations have been proposed by Witten as a way to obtain knot invariants using gauge-theory. I will report on some initial steps, in collaboration with Witten, to develop the requisite analysis for this program. This involves showing that the natural boundary conditions for these equations (away from the knot) satisfy a nonstandard type of ellipticity, which leads to some uniqueness and regularity results.

Supplements

	Mazzeo 198 KB application/pdf	Download

Video/Audio Files

v1205

H.264 Video	v1205.mp4 343 MB video/mp4 rtsp://videos.msri.org/data/000/019/191/original/v1205.mp4	Download

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