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SUMMARY:Higgs26: On Fourier-Mukai transforms for Hitchin systems [Workshop
 ]
DTSTART:20260526T120000Z
DTEND:20260526T130000Z
DTSTAMP:20260518T072100Z
UID:indico-event-1296@math-events.uni-bonn.de
DESCRIPTION:Speakers: David Fang (Yale)\n\nIn this talk we consider the mo
 duli stack of (possibly meromorphic) semistable (GL_r)-Higgs bundles on a 
 curve. The Dolbeault Langlands conjecture of Donagi-Pantev (later refined 
 by Padurariu-Toda) predicts roughly the existence of an autoequivalence of
  the derived category of coherent sheaves on this moduli stack\, which is 
 compatible with certain classical limit Hecke and Wilson operators. In 200
 6\, Donagi and Pantev further proposed that the kernel for such an autoequ
 ivalence may be constructed as a degeneration of the usual Poincare sheaf 
 for Jacobians of spectral curves. In this talk we present some evidence fo
 r these conjectures\, and some interactions of this equivalence with the o
 bvious G_m-action on the moduli stack of Higgs bundles. \n\nhttps://math-
 events.uni-bonn.de/event/1296/
LOCATION:Endenicher Allee 60\, R. 0.008 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1296/
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