An equivariant Tamagawa number formula for Drinfeld modules and beyond

Abstract: I will present a vast generalization of Taelman's 2012 celebrated class-number formula for Drinfeld modules to the setting of (rigid analytic) L-functions of Drinfeld module motives with Galois equivariant coefficients. I will discuss applications and potential extensions of this formula to the category of t-modules and t-motives. This is based on joint work with Ferrara, Green and Higgins, and a result of meetings in the UCSD Drinfeld Module Seminar.

number theory

Audience: researchers in the topic

( paper )

UCSD number theory seminar

Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.