Speaker: Zlil Sela
Title:  Diophantine geometry over groups and the
 elementary theory of free and hyperbolic groups

Abstract: We study sets of solutions to equations over a free group,
projections of such sets, and the structure of elementary sets defined
over a free group. The structre theory we obtain enable us to answer
some questions of A. Tarski's, and classify those finitely generated
groups that are elementary equivalent to a free group. Connections
with low dimensional topology, and a generalization to general
hyperbolic groups and their elementary classification will also be
discussed.


Work address:   Hebrew University and IAS
Electronic Mail: zlil@math.huji.ac.il