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SUMMARY:Lie Fu (Radboud University / Université Lyon 1)
DTSTART:20210608T150000Z
DTEND:20210608T160000Z
DTSTAMP:20260423T021649Z
UID:DerSem/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DerSem/18/">
 Generalized Franchetta conjecture for certain families of K3 surfaces and 
 hyper-Kähler varieties</a>\nby Lie Fu (Radboud University / Université L
 yon 1) as part of Derived seminar\n\n\nAbstract\nIn 2013\, as an analogue 
 of Franchetta's classical conjecture on the Picard group of the universal 
 genus g curve\, O'Grady asked whether the Chow group of zero-cycles of the
  generic fiber of the universal genus-g K3 surface is cyclic. I will discu
 ss some recent progress that I obtained in collaboration with Laterveer an
 d Vial on this conjecture as well as its higher dimensional version for hy
 per-Kähler varieties. The main feature of our argument is the combination
  of the projective geometry of cubic fourfolds on one hand and moduli spac
 es of Bridgeland stable objects in their Kuznetsov components on the other
  hand.\n
LOCATION:https://researchseminars.org/talk/DerSem/18/
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