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SUMMARY:Davesh Maulik (MIT)
DTSTART:20210311T210000Z
DTEND:20210311T220000Z
DTSTAMP:20260423T035733Z
UID:AG-Davis/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AG-Davis/21/
 ">Intersection cohomology of the moduli of of 1-dimensional sheaves and th
 e moduli of Higgs bundles</a>\nby Davesh Maulik (MIT) as part of UC Davis 
 algebraic geometry seminar\n\n\nAbstract\nIn general\, the topology of the
  moduli space of semistable sheaves on an algebraic variety relies heavily
  on the choice of the Euler characteristic of the sheaves being parametriz
 ed. I will explain two situations where the intersection cohomology of the
  moduli space is independent of the choice of Euler characteristic: moduli
  of one-dimensional sheaves on toric Fano surfaces and moduli of Higgs bun
 dles with poles. This confirms conjectures of Bousseau and Toda (in certai
 n cases)\, which predicts that this independence should occur quite genera
 lly in the context of enumerative geometry of CY3-folds. Joint work with J
 unliang Shen.\n\nNote updated date/time\n
LOCATION:https://researchseminars.org/talk/AG-Davis/21/
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