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SUMMARY:Categorified isomonodromic deformations via Lie groupoids
DTSTART:20140505T151500
DTEND:20140505T170000
DTSTAMP:20260510T235205Z
UID:6533441c7fd990d9ee76d23a674d4903ec1f4834ba69cdb29855e3b3
CATEGORIES:Conferences - Seminars
DESCRIPTION:Brent Pym\, Oxford\nGiven a meromorphic connection on a Rieman
 n surface\, one can\nseek deformations of the connection in which the loca
 tions of the poles\nare varied but the monodromy and Stokes data are held 
 fixed.  This\n"isomonodromy" condition actually characterizes the deforma
 tion up to\nisomorphism\, suggesting that the deformation should have a fu
 nctorial\nconstruction.  I will describe joint work in progress with Marc
 o\nGualtieri\, in which we implement this functor using the notion of Mori
 ta\nequivalence between Lie groupoids.  These Morita equivalences are\nth
 emselves the solutions of an isomonodromic deformation problem\, for\nwhic
 h the initial condition is the meromorphic projective connection\nprovided
  by the uniformization theorem.
LOCATION:MA331 http://plan.epfl.ch/?lang=fr&room=MA+A331
STATUS:CONFIRMED
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