Number theory days

On the modularity of reducible mod l Galois representations

24 juin 2014, 11:45

1h

Salle de réunions (Université Lille 1)

Galois representations and modular forms Galois representations and modular forms

Orateur

Nicolas Billerey (Université Clermont-Ferrand 2)

Description

In this talk, I'll give a modularity result for reducible mod l Galois representations. By analogy with the irreducible case, I'll state some questions regarding characterization and optimization of the different types of modular forms attached to such a given representation. Finally, I'll give an application of these results to the determination of an explicit lower bound for the highest degree of the coefficient fields of newforms of prime level and trivial Nebentypus. This is a joint work with Ricardo Menares.

Documents de présentation

Paper

http://arxiv.org/abs/1309.3717