Euler factors in Drinfeld modules

Nandagopal Ramachandran (UC San Diego)

09-May-2024, 21:00-22:00 (19 months ago)

Abstract: In this talk, I'll first give a quick introduction to the theory of Drinfeld modules and talk about an equivariant $L$-function associated to Drinfeld modules as defined by Ferrara-Higgins-Green-Popescu in their work on the ETNC. As is usual, these $L$-functions are defined as an infinite product of Euler factors, and the main focus of this talk is a result relating these Euler factors to a certain quotient of Fitting ideals of some algebraically relevant modules. This is joint work with Cristian Popescu.

number theory

Audience: researchers in the topic


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.

Organizers: Kiran Kedlaya*, Alina Bucur, Aaron Pollack, Cristian Popescu, Claus Sorensen
*contact for this listing

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