BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

p-adic heights and rational points on curves Balakrishnan, Jennifer

Description

In 2006, Mazur, Stein, and Tate gave an algorithm to compute p-adic heights and regulators on elliptic curves, motivated by the p-adic Birch and Swinnerton-Dyer conjecture. Their work on these explicit methods has led to a new use of p-adic heights, namely as a tool to find rational points on curves. I'll give a survey of these methods (joint with A. Besser, N. Dogra, J. S. Mueller) and describe the landscape of future work for families of curves and curves with extra structure.

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Attribution-NonCommercial-NoDerivatives 4.0 International