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Modularity and the Fermat Equation over Totally Real Fields

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If you have a question about this talk, please contact David Craven.

Just over twenty years ago Wiles proved Fermat’s Last Theorem, by proving modularity of semistable elliptic curves over the rationals. Thanks to the efforts of many mathematicians, it is now possible to extend the modularity statement to almost all elliptic curves over totally real fields. We discuss what this means in down-to-earth language, and also some implications for the Fermat equation. This talk is based on joint work with Nuno Freitas (Bonn) and Bao Le Hung (Harvard).

This talk is part of the Algebra seminar series.

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