Anticyclotomic p-adic heights on elliptic curves

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• Jennifer Balakrishnan (Oxford University)
• Tuesday 28 October 2014, 16:15-17:15
• MR13.

If you have a question about this talk, please contact Jack Thorne.

We give an explicit construction of the anticyclotomic p-adic height pairing on an elliptic curve and discuss two applications. The first concerns the “shadow line” considered by Mazur and Rubin in a study of higher rank elliptic curves. The second is a generalization of “quadratic Chabauty” using anticyclotomic and cyclotomic p-adic heights to recover integral points on elliptic curves over quadratic number fields.

This talk is part of the Number Theory Seminar series.

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