Number theory days

Automorphic Galois representations in the inverse Galois problem

24 juin 2014, 17:00

1h

Salle de réunions (Université Lille 1)

Représentations galoisiennes et formes modulaires Représentations galoisiennes et formes modulaires

Orateur

Gabor Wiese (Université du Luxembourg)

Description

In the talk I will report on recent results on the inverse Galois problem based on compatible systems of Galois representations coming from modular and automorphic forms. The focus will be on ideas and strategies as well as the obstacles that are preventing us from proving much stronger theorems. In this context, the role of coefficient fields will be particularly highlighted. Most parts are joint work with Sara Arias-de-Reyna, Luis Dieulefait and Sug-Woo Shin.

Documents de présentation

Paper

http://arxiv.org/abs/1203.6546

http://arxiv.org/abs/1203.6552

http://arxiv.org/abs/1210.7157

http://arxiv.org/abs/1308.2192

http://arxiv.org/abs/1402.1210

http://intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0020/0005/a014/index.html