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SUMMARY:Miguel Moreira (ETH Zurich)
DTSTART:20221018T150000Z
DTEND:20221018T160000Z
DTSTAMP:20260423T022623Z
UID:Geolis/100
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/100/"
 >Virasoro constraints in sheaf theory</a>\nby Miguel Moreira (ETH Zurich) 
 as part of Geometria em Lisboa (IST)\n\n\nAbstract\nVirasoro constraints f
 or Gromov-Witten invariants have a rich history tied to the very beginning
  of the subject\, but recently there have been many developments on the sh
 eaf side. In this talk I will survey those developments and talk about joi
 nt work with A. Bojko and W. Lim where we propose a general conjecture of 
 Virasoro constraints for moduli spaces of sheaves and formulate it using t
 he vertex algebra that D. Joyce recently introduced to study wall-crossing
 . Using Joyce's framework we can show compatibility between wall-crossing 
 and the constraints\, which we then use to prove that they hold for moduli
  of stable sheaves on curves and surfaces with $h^{0\,1}=h^{0\,2}=0$. In t
 he talk I will give a rough overview of the vertex algebra story and focus
  on the ideas behind the proof in the case of curves.\n
LOCATION:https://researchseminars.org/talk/Geolis/100/
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