MSCS Seminar Calendar
Saturday May 18, 2013
Workshop in Number TheoryCollaborative Explorations and Developments in Arithmetic Research
Organizer: A.C. Cojocaru (University of Illinois at Chicago)
9:00 AM in SEO 636
This is a workshop focused on the interplay between analytic number theory and arithmetic geometry,
and aimed at fostering research collaborations among the participants.
The workshop will take place between
May 14 - May 18, 2013.
More information may be found at
http://homepages.math.uic.edu/~cojocaru/events-cedar.html
Tuesday May 21, 2013
Wednesday May 22, 2013
Algebraic Geometry SeminarMotivic zeta functions and the monodromy conjecture for semi-abelian varieties
Lars Halvard Halle (Oslo)
4:00 PM in SEO 427
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.
