Complex Dynamics and Elliptic Curves by Laura DeMarco, Northwestern University

Intended for a general audience, Dr. DeMarco will present connections between recent research in dynamical systems and the classical theory of elliptic curves and rational points. On the dynamical side – specifically in the study of iteration of rational functions (Julia sets, bifurcations, the Mandelbrot set), but originating in the mathematical study of planetary motion – the first connections were observed about 100 years ago. On the arithmetic side, it was probably the 1960s when dynamical ideas were first used as tools to understand the arithmetic geometry of elliptic curves and higher-dimensional varieties. The goal is to provide examples of how these relation-ships developed and where they have brought us today. Dr. DeMarco will present second and third lectures on September 24 at 4pm and 5:30pm in Wachman Hall, Room 617.