Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel
Email des responsables :
cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :
Description
http://www.imj-prg.fr/tn/STN/stnj.html
Orateur(s)
Samir Siksek - University of Warwik,
Titre
Elliptic curves over real quadratic fields are modular.
Date
26/05/2014
Horaire
14:00 à 16:00
Diffusion
Résume
We combine recent breakthroughs in modularity lifting with a3-5-7 modularity switching argument to deduce modularity of ellipticcurves over real quadratic fields. We discuss the implications for theFermat equation. In particular we prove an asymptotic version ofFermat's Last Theorem over $\mathbf Q(\sqrt{d})$ for a subset of squarefreepositive~$d$ having density~5/6. This is based on joint work with NunoFreitas (Bayreuth) and Bao Le Hung (Harvard).
