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SUMMARY:SAG: On the exceptional locus of O’Grady’s nonsymplectic resol
 utions
DTSTART:20250710T083000Z
DTEND:20250710T103000Z
DTSTAMP:20260416T090200Z
UID:indico-event-537@math-events.uni-bonn.de
DESCRIPTION:Speakers: Luigi Martinelli (Bielefeld)\n\nIn this talk\, we fo
 cus on some singular moduli spaces of sheaves on a K3 surface. More precis
 ely\, for any integer n > 1\, we consider the moduli space M(n) associated
  with the Mukai vector 2(1\,0\,1-n). Looking for new deformation classes o
 f hyper-Kähler manifolds\, O’Grady constructed an explicit resolution o
 f every M(n). O’Grady’s resolution is crepant and does give a hyper-K
 ähler manifold only if n=2. If n>2\, it turns out that no crepant resolut
 ion exists for M(n)\, but one may still look for a categorical crepant res
 olution. We will report on the preliminary step in this direction\, which 
 consists in a geometric analysis of O’Grady’s resolution and of its ex
 ceptional locus.\n\nhttps://math-events.uni-bonn.de/event/537/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/537/
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