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SUMMARY:Integral Chow motives of derived equivalent K3 surfaces [Seminar A
 lgebraic Geometry (SAG)]
DTSTART:20260723T083000Z
DTEND:20260723T093000Z
DTSTAMP:20260710T105000Z
UID:indico-event-1159@math-events.uni-bonn.de
DESCRIPTION:Speakers: Evgeny Shinder (Sheffield)\n\nWe prove that if X\, Y
  are derived equivalent complex K3 surfaces\, then the integral Chow motiv
 es are typically not isomorphic\, but are always stably isomorphic. This u
 nfies the result of Huybrechts for isomorphism of rational Chow motives wi
 th the result of Mukai for the stable equivalence of integral Hodge struct
 ures. Under some mild assumptions\, the same result holds for K3 surfaces 
 over nonclosed fields of characteristic zero. For the proofs we rely on kn
 own results about zero-cycles on K3 surfaces and set up the machinery of T
 ate-stable equivalence for integral Chow motives. This is a joint work in 
 progress with Hsueh-Yung Lin and Pavel Sechin.\n \n\nhttps://math-events.
 uni-bonn.de/event/1159/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1159/
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