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SUMMARY:SAG: The duality map on symplectic moduli spaces of sheaves
DTSTART:20250515T083000Z
DTEND:20250515T100000Z
DTSTAMP:20260416T085200Z
UID:indico-event-401@math-events.uni-bonn.de
DESCRIPTION:Speakers: Hsueh-Yung Lin (Taiwan)\n\nDuality defines an involu
 tion on the moduli space of slope-stable bundles with trivial determinant 
 on a projective surface X. It extends to a birational involution on the mo
 duli space of Gieseker semistable sheaves. When X is a K3 surface of Picar
 d rank one\, we characterize when the duality map is biregular and non-tri
 vial in terms of the Mukai vector. Further analysis of the quotient by thi
 s involution yields new (singular) irreducible holomorphic symplectic vari
 eties\, with simply connected smooth locus and second Betti number 24. (Jo
 int work in progress with R. Yamagishi.)\n\nhttps://math-events.uni-bonn.d
 e/event/401/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/401/
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