Common torsion points and a uniform Manin-Mumford bound for a family of genus 2 curves

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• Holly Krieger (Cambridge)
• Tuesday 23 October 2018, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Beth Romano.

I will discuss joint work with Laura DeMarco and Hexi Ye in which we use dynamically-inspired techniques towards a conjecture of Bogomolov-Fu-Tschinkel asserting a uniform bound on the number of common torsion points of distinct elliptic curves. I will explain our strategy, which has general application to proving uniform bounds in unlikely intersections, and how this theorem implies a uniform bound on the number of torsion images in their Jacobians for a family of genus 2 curves. No dynamical background will be assumed.

This talk is part of the Number Theory Seminar series.

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