##### Department of Mathematics,

University of California San Diego

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### Math 209: Number Theory Seminar

## Nandagopal Ramachandran

#### UC San Diego

## Euler factors in Drinfeld modules

##### 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.

### May 9, 2024

### 2:00 PM

APM 6402 and online (see https://www.math.ucsd.edu/~nts

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