KTH/SU Mathematics Colloquium
November 18, 2009
Alexander Gorodnik, University of Bristol
Arithmetic Geometry and Dynamical Systems
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.