Algebraic Geometry Seminar
Lars Halvard Halle
Oslo
Motivic zeta functions and the monodromy conjecture for semi-abelian varieties
Abstract:
Let K be a complete discretely valued field with residue field k, and let X be a smooth K-variety
with trivial canonical sheaf. To such a variety one can associate an invariant known
as the "motivic zeta function" of X. This is a formal power series with coefficients
in the Grothendieck ring of k-varieties, which measures how the set of rational points of X
varies under ramified extension of K.
I will talk about joint work with J. Nicaise, where we investigate motivic zeta functions for
semi-abelian varieties. In particular, we prove that the motivic monodromy conjecture holds for these varieties.
Wednesday May 22, 2013 at 4:00 PM in SEO 427