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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 (09:30AM PST - 10:30AM PST)
Speaker(s): Rafe Mazzeo (Stanford University)
Location: MSRI: Simons Auditorium
Video

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
19336?type=thumb 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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