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Seminario di Geometria Algebrica: Algebraic cycles of abelian schemes

Thursday, June 27, 2013 h. 11:30 - Room 2AB40 - Giuseppe Ancona

ARGOMENTI: Seminari

Seminario di Geometria Algebrica

Thursday, June 27, 2013 h. 11:30 - Room 2AB40
Giuseppe Ancona (Paris 13)
"Algebraic cycles of abelian schemes"

Abstract
Let X be a variety and consider the cycle class map, which maps the Chow groups of X to the cohomology groups of X. Hodge or Tate conjectures predict what should be the image of such a map, and Bloch-Beilinson-Murre conjecture predicts some structures on the kernel. We will investigate these conjectures when X is an abelian scheme, and especially when it is the universal abelian scheme over a PEL Shimura variety.

Rif. Int. M. Longo

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