March 2, 2005

Ziv Shami

Title: Interactions between model theory and diophantine geometry

Abstract:

I will discuss some general model theoretic methods and their applications to diophantine geometry. For the applications I will concentrate on the model theory used by Hrushovski to find a new proof (as well as new bounds) for the Manin-Mumford conjecture about the torsion of an abelian variety.