Patrick Ingram (University of Toronto)
Title: Arithmetic questions about iterates of quadratic polynomials.
Abstract: In the classical study of holomorphic dynamics, systems defined
by iteration of quadratic polynomials received much attention. Many
interesting and non-trivial number-theoretic questions arise when one
considers similar dynamical systems defined over a global field (Q, say),
instead of C. Drawing on the arithmetic theory of elliptic curves as
motivation, we'll survey recent results in the arithmetic of (quadratic)