The class group pairing on elliptic curves

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• Chris Wuthrich (Nottingham)
• Tuesday 22 May 2012, 14:30-15:30
• MR4.

If you have a question about this talk, please contact Tom Fisher.

There is a pairing on the Mordell-Weil group of an elliptic curve over a number field with values in the class group of the field. It sits somewhere between the monodromy pairing and the Neron-Tate height pairing. I would like to discuss how this pairing shows up in questions on Galois module structures, how one can compute it effectively and how it links to p-descent.

This talk is part of the Number Theory Seminar series.

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