Erik Wallace : Galois Representations on Abelian Varieties

Posted by Alina Carmen Cojocaru , part of the Number Theory Seminar.

At

April 16, 2013, 1 p.m.

In

SEO 636

Abstract

We introduce Galois representations on Abelian varieties, and discuss a theorem of Duke for elliptic curves over Q, as well as various extensions of his theorem to other number fields, and to higher dimensions. The general flavor of these theorems is that most of the time we can expect the Galois representations to be surjective for all or almost all primes l.