Residual modular Galois representations: an algorithmic approach

Speaker: Dr. Samuele Anni (Warwick)

Time: 4.00PM

Date: Monday 22 September 2014

Location: UCD School of Mathematical Sciences Seminar Room, Ag. 1.01

Abstract:

Let l be a prime number. To any mod l modular form, which is an eigenform for all Hecke operators, it is associated a 2-dimensional
residual representation of the absolute Galois group of the rationals. In this talk I will give a brief introduction about residual modular Galois representations and mod l modular forms, and then I will outline an algorithm for computing the image of such a representation. In particular, I will focus on the problem of twisting the representation and explain some characteristic switching argument.

Series: UCD Algebra and Number Theory

 

Please Note: All are welcome and tea/coffee will be provided