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Distinguished cycles on hyperKaehler varieties

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Speaker: 
Charles Vial
Zugehörigkeit: 
Bielefeld
Datum: 
Don, 2019-04-25 10:30 - 11:30
Location: 
MPIM Lecture Hall

The aim of this talk is to give an overview of various subrings of the Chow ring of hyperKaehler varieties, which like the Beauville-Voisin ring conjecturally inject in cohomology via the cycle class map. I will give examples of hyperKaehler varieties for which such injectivity statements are known to be true and I will explain how these various subrings relate to each other (conjecturally and in examples). I will also concomitantly draw the parallel picture for abelian varieties. This is based on works with Lie Fu, Robert Laterveer and Mingmin Shen.

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