Pure Maths Colloquium: Arithmetic Geometry and Dynamical Systems
7 December 2009 16:15 in CM221
A fundamental problem in arithmetic geometry is to describe the structure of the sets of integral/rational solutions of polynomial equations. In particular one is interested in the number of solutions, distribution of solutions, and Diophantine approximation by solutions. In this talk we explain how these questions can be approached using techniques from the theory of dynamical systems.