Complex dynamics and elliptic curves

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• Laura DeMarco (Northwestern University)
• Thursday 08 June 2017, 17:00-18:00
• MR2, CMS.

If you have a question about this talk, please contact HoD Secretary, DPMMS.

In this talk, I will present some connections between recent research in dynamical systems and the classical theory of elliptic curves and rational points. The main goal is to illustrate the role of dynamical stability and bifurcations in deducing arithmetic finiteness statements. I will focus on three examples: (1) the theorem of Mordell and Weil from the 1920s, presented from a dynamical point of view; (2) a recent result of Masser and Zannier about torsion points on elliptic curves, and (3) features of the Mandelbrot set.

There will be a wine reception following the talk in the Central Core.

This talk is part of the Mordell Lectures series.

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