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SUMMARY:Salvatore Floccari (Hannover)
DTSTART:20230303T124000Z
DTEND:20230303T134000Z
DTSTAMP:20260423T021254Z
UID:OBAGS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/19/">S
 ixfolds of generalized Kummer type and K3 surfaces</a>\nby Salvatore Flocc
 ari (Hannover) as part of ODTU-Bilkent Algebraic Geometry Seminars\n\n\nAb
 stract\nThe classical Kummer construction associates a K3 surface to any 2
 -dimensional complex torus. In my talk I will present an analogue of this 
 construction\, which involves the two most well-studied deformation types 
 of hyper-Kähler manifolds in dimension 6. Namely\, starting from any hype
 r-Kähler sixfold K of generalized Kummer type\, I am able to construct ge
 ometrically a hyper-Kähler manifold of K3^[3]-type. When K is projective\
 , the associated variety is birational to a moduli space of sheaves on a u
 niquely determined K3 surface. As application of this construction I will 
 show that the Kuga-Satake correspondence is algebraic for many K3 surfaces
  of Picard rank 16.\n
LOCATION:https://researchseminars.org/talk/OBAGS/19/
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