Abel Castillo : The normal order method and invariants of Drinfeld modules over finite fields

Posted by Abel Castillo , part of the Graduate Number Theory Seminar.

At

April 10, 2014, 3 p.m.

In

SEO 512

Abstract

We will give an introduction to Drinfeld modules, and we will discuss results regarding how certain invariants behave for the reduction of a Drinfeld module mod $p$ as the prime $p$ varies. More specifically, we will discuss results that state that the Euler-Poincaré characteristic and the trace of Frobenius "typically" have the same number of distinct prime divisors as a "typical" element of $\mathbb{F}_q[T]$ of the same degree for certain types of Drinfeld modules.