Elliptic curves over real quadratic fields are modular

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• Samir Siksek (Warwick)
• Tuesday 22 October 2013, 16:15-17:15
• MR13.

If you have a question about this talk, please contact James Newton.

We combine the latest advances in modularity lifting with a 3-5-7 modularity switching argument to prove the result of the title.

We use this to prove that the exponent in the Fermat equation over Q(\sqrt{d}) is effectively bounded with d = 3 mod 4 or d = 6 or 10 mod 16. This is based on joint work with Nuno Freitas (Bayreuth) and Bao Le Hung (Harvard).

This talk is part of the Number Theory Seminar series.

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