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Department of Mathematical Sciences


This week's seminars

Arithmetic Study Group: Computation of p-adic heights in families of elliptic curves

Presented by Francesca Bianchi, Oxford University

13 March 2018 14:00 in CM 219

Given an elliptic curve E over Q and a prime p of good ordinary reduction, there is a natural p-adic analogue of the real canonical height on E. The discriminant of the induced pairing on the free part of the Mordell-Weil group appears in p-adic BSD. However, unlike in the real case, this quantity is only conjectured to be non-zero. I will present a new algorithm to compute p-adic heights in families of elliptic curves, with applications to non-degeneracy. The algorithm uses a modified version of Lauder's deformation method for the computation of the action of Frobenius on an appropriate cohomology group.

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Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.