Sumita Garai : Indices of the endomorphism ring of a finite Drinfeld module

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

At

Nov. 15, 2019, 9:30 a.m.

In

1227 SEO

Abstract

For a generic, rank $r$ Drinfeld module, we discuss its reductions and their endomorphism rings. We discuss the significance of the Frobenius indices and prove that they can be arbitrarily large. We also give an algorithm to compute these indices explicitly and a basis of the endomorphism ring. This is joint work with Mihran Papikian.

The seminar lasts 80 minutes (9:30am-10:50am).