Joint Colloquium: Krieger -- Mahler Lecture: Elliptic curves and complex dynamics

 In the last decade, an exciting program has emerged connecting the arithmetic of
elliptic curves to classical questions in complex algebraic dynamics; that is, the study
of iteration of maps on complex algebraic varieties.  We will discuss this program and
the fruit it has yielded, providing a new and surprising approach to fundamental
questions about the interaction between geometry and arithmetic of elliptic curves.