| Orateur(s) | Samir Siksek - University of Warwik,
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| Titre | Elliptic curves over real quadratic fields are modular. |
| Date | 26/05/2014 |
| Horaire | 14:00 à 16:00 |
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| 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). |
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