Title: Complex dynamics and elliptic curves

Abstract:
In this talk, I will explain some connections between recent research in dynamical systems and the classical theory of elliptic curves and rational points. I will begin with the theorem of Mordell and Weil from the 1920s, presented from a dynamical point of view. I will continue by describing a dynamical/geometric proof of a result of Masser and Zannier about torsion points on elliptic curves and “unlikely intersections”. Finally, I aim to explain the role of dynamical stability and bifurcations in finiteness statements.

Wednesday, Mar. 9, 4:30 – 5:30 p.m.
Mathematics 520
Tea will be served at 4:00 p.m.

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