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CATEGORIES:Algebraic Geometry Seminar
SUMMARY:On the Chow group and the motive of a commutative
algebraic group - Giuseppe Ancona (Duisburg-Essen
)
DTSTART;TZID=Europe/London:20140521T141500
DTEND;TZID=Europe/London:20140521T151500
UID:TALK52626AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/52626
DESCRIPTION:A classical result of Beauville shows that the act
ion of the multiplication by n on the Chow group o
f an abelian variety is semisimple with finite exp
licit eigenvalues. This result was used by Deninge
r and Murre to show that the Chow motive of an abe
lian variety has a canonical Künneth decomposition
. We will show that both results generalize to sem
iabelian varieties (or more generally to commutati
ve algebraic groups). The method is different and
the logical dependence changes: we will directly w
ork with the motive and then deduce the result on
the Chow group. In the talk we will recall general
ities on Voevodsky's motives\, as well as several
of their arithmetic and geometric applications. Th
is is a joint work with Steven Enright-Ward and An
nette Huber.
LOCATION:MR 13\, CMS
CONTACT:Dr. J Ross
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