Arithmetic of CM curves over abelian extensions

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• Jack Lamplugh (University of Cambridge)
• Friday 09 March 2012, 14:15-15:15
• MR13.

If you have a question about this talk, please contact Jonathan Nelson.

Note unusual time

We will fix an elliptic curve E/K for an imaginary quadratic field K, with complex multiplication by ĸ. For an abelian extension F/K, I will talk about how we can use the complex and p-adic L-functions attached to E to deduce results about the arithmetic of E/F (e.g. E(F) – the F-rational points of E).

This talk is part of the Junior Algebra and Number Theory seminar series.

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