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Torsion points of elliptic curves via Berkovich spaces over Z

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If you have a question about this talk, please contact Dhruv Ranganathan.

Berkovich spaces over Z may be seen as fibrations containing complex analytic spaces as well as p-adic analytic spaces, for every prime number p. We will give an introduction to those spaces and explain how they may be used in an arithmetic context to prove height inequalities. As an application, following a strategy by DeMarco-Krieger-Ye, we will give a proof of a conjecture of Bogomolov-Fu-Tschinkel on uniform bounds on the number of common images on P^1 of torsion points of two elliptic curves.

This talk is part of the Algebraic Geometry Seminar series.

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In person in the Max Perutz Lecture Theatre (CB2 0QH) and via Zoom link https://mrc-lmb-cam-ac-uk.zoom.us/j/93702571246?pwd=I6zsi0w8N5XcKg2gu0bac58rcyTfba.1 Pantom Arms Pub, 43 Panton St, Cambridge CB2 1HL Average on weekdays: 9215.38855781 kWh

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