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Chow motives associated to certain algebraic Hecke characters

Posted in
Speaker: 
Jaclyn Lang
Affiliation: 
MPIM
Date: 
Wed, 2017-08-23 14:15 - 15:15
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

For certain CM abelian varieties $A$, there is an algebraic Hecke character
$\lambda_A$ such that $L(A, s) = L(\lambda, s)$.  If $A$ is a factor of the
Jacobian of a Weil curve (given by an equation of the form $y^e = \delta x^f + \gamma$),
we discuss a way to construct a Chow motive $M$ such that $L(M, s) = L(\lambda^n, s)$
for any positive integer $n$. Furthermore, we discuss the field of definition of $M$.

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