Logic Seminar
Alex Wilkie
Manchester University
Definability in the Complex Exponential Field
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.
Monday September 20, 2010 at 4:00 PM in SEO 612