Alex Wilkie : Definability in the Complex Exponential Field

Posted by David E. Marker , part of the Logic Seminar.

At

Sept. 20, 2010, 4 p.m.

In

SEO 612

Abstract

I will talk about definability theory for complex analytic functions and an approach to Zilber's Conjecture on the quasi-minimality of the complex exponential field. This will involve setting up certain pregeometries on the complexes associated with existential definability in the complex exponential field. I will then describe how an analytic continuation preperty would yield a positive answer to Zilber's conjecture. The remainder of the lectures will be an open ended discussion of how one might establish this property.

This will be the first lecture in a weekly series.