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SUMMARY:Tristan Bozec (Université de Montpeilier)
DTSTART:20200625T151500Z
DTEND:20200625T154500Z
DTSTAMP:20260424T134121Z
UID:GRT-2020/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GRT-2020/4/"
 >Relative critical loci\, quiver moduli\, and new lagrangian subvarieties<
 /a>\nby Tristan Bozec (Université de Montpeilier) as part of Geometric Re
 presentation Theory conference\n\n\nAbstract\nThe preprojective algebra of
  a quiver naturally appears when computing\nthe cotangent to the quiver mo
 duli\, via the moment map. When considering\nthe derived setting\, it is r
 eplaced by its differential graded (dg)\nvariant\, introduced by Ginzburg.
  This construction can be generalized\nusing potentials\, so that one retr
 ieves critical loci when considering\nmoduli of perfect modules.\nOur idea
  is to consider some relative\, or constrained critical loci\,\ndeformatio
 ns of the above\, and study Calabi--Yau structures on the\nunderlying rela
 tive versions of Ginzburg's dg-algebras. It yields for\ninstance some new 
 lagrangian subvarieties of the Hilbert schemes of\npoints on the plane.\n\
 nThis reports a joint work with Damien Calaque and Sarah Scherotzke\narxiv
 .org/abs/2006.01069\n
LOCATION:https://researchseminars.org/talk/GRT-2020/4/
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