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Grosswald Lectures

Monday, September 23, 2019 - 4:00pm to 5:00pm

Laura DeMarco

Northwestern University


Temple University


First of three talks. The first talk is intended for a general audience.

We 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 relationships developed and where they have brought us today. More info: < sep2019/Grosswald2019.pdf> Temple campus map: < documents/campus_map.pdf>