In this talk I will discuss a recent preprint of M. Raynaud. The main result is that for curves of genus 2, defined over the algebraic closure of the prime field, there are at most finitely many curves whose fundamental group is isomorphic to the fundamental group of a given curve. In the first talk, I will discuss how to relate the p-rank of etale covers of a curve X of genus g> 1 to points on the theta divisor of X. This will be the key result in proving the theorem.