Title: Computing the Hausdorff dimension of Dynamical and Diophantine sets: some examples.

Abstract: I will introduce the notion of Hausdorff measure and dimension. I will then explain via examples, some joint work with Debanjan Nandi (Weizmann Institute) which estimates, and in many cases computes, the dimension of many sets which occur naturally in the theory of dynamics on spaces of negative curvature. These objects in turn are connected to Diophantine analysis. I will also explain the connection. Most of the talk will be elementary.