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SUMMARY:Arkadij Bojko (Academia Sinica)
DTSTART:20240430T083000Z
DTEND:20240430T093000Z
DTSTAMP:20260422T155619Z
UID:HKUST-AG/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/43/
 ">Universal Virasoro constraints for quivers with relations</a>\nby Arkadi
 j Bojko (Academia Sinica) as part of Algebra and Geometry Seminar @ HKUST\
 n\nLecture held in 3598.\n\nAbstract\nThe recent reformulation of sheaf-th
 eoretic Virasoro constraints opens many doors for future research. In part
 icular\, one may consider its analog for quivers. After phrasing a univers
 al approach to Virasoro constraints for moduli of quiver-representations\,
  I will sketch their proof for any finite quiver with relations\, with fro
 zen vertices\, but without cycles. I will use partial flag varieties which
  are a special case of moduli of framed representations as a guiding examp
 le throughout.  Using derived equivalences to quivers with relations\, I g
 ive self-contained proofs of Virasoro constraints for all Gieseker semista
 ble sheaves on  $S = \\mathbb{P}^2\,\\mathbb{P}^1 \\times \\mathbb{P}^1$\,
  and $\\mathrm{Bl}_\\mathrm{pt}\\mathbb{P}^2$. Combined with an existing u
 niversality argument for Virasoro constraints on Hilbert schemes of points
  of surface\, this leads to a proof for any $S$ which is independent of th
 e previous results in GW theory.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/43/
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