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SUMMARY:On the Chow group and the motive of a commutative algebraic group 
  - Giuseppe Ancona (Duisburg-Essen)
DTSTART:20140521T131500Z
DTEND:20140521T141500Z
UID:TALK52626@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:A classical result of Beauville shows that the action of the m
 ultiplication by n on the Chow group of an abelian variety is semisimple w
 ith finite explicit eigenvalues. This result was used by Deninger and Murr
 e to show that the Chow motive of an abelian variety has a canonical Künn
 eth decomposition. We will show that both results generalize to semiabelia
 n varieties (or more generally to commutative algebraic groups). The metho
 d is different and the logical dependence changes: we will directly work w
 ith the motive and then deduce the result on the Chow group. In the talk w
 e will recall generalities on Voevodsky's motives\, as well as several of 
 their arithmetic and geometric applications. This is a joint work with Ste
 ven Enright-Ward and Annette Huber.
LOCATION:MR 13\, CMS
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