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SUMMARY:The duality involution on symplectic moduli spaces of sheaves
DTSTART:20251113T093000Z
DTEND:20251113T103000Z
DTSTAMP:20260425T155200Z
UID:indico-event-14656@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hsueh-Yung Lin (National Taiwan University)\n\nDuali
 ty defines an involution on the moduli space of slope-stable bundles with 
 trivial determinant on a projective surface X. It extends to a birational 
 involution on the moduli space of Gieseker semistable sheaves. When X is a
  K3 surface of Picard rank one\, we characterize when the duality map is b
 iregular and non-trivial in terms of the Mukai vector. Further analysis of
  the quotient by this involution yields new (singular) irreducible holomor
 phic symplectic varieties\, with simply connected smooth locus and second 
 Betti number 24. (Joint work in progress with R. Yamagishi.)\n\nhttps://in
 dico.math.cnrs.fr/event/14656/
URL:https://indico.math.cnrs.fr/event/14656/
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