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Thursday 19 Mar 2015Elliptic Curves over Real Quadratic Fields are Modular

Samir Siksek - University of Warwick

Harrison 103 15:00-16:00

We combine a 3-5-7 modularity switching argument with the
latest in modularity lifting to show that most elliptic curves over
totally real fields are modular. Using some computations on modular
curves we are able to deduce the modularity of elliptic curves over
real quadratic fields. This talk is based on joint work with Nuno
Freitas and Bao Le Hung.

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