Departmental Colloquium
Dave Marker
UIC
Model Theory and Complex Exponentiation
Abstract: The definable sets in the real field
with exponentiation have many of the good topological and geometric
properties of semialgebraic sets. If one looks at the complex
numbers the situation is much more complicated as you can
define the integers. Yet, there is some hope for an interesting model
theory. I will discuss an abstract approach to complex exponentiation due
to Zilber and some interesting number theoretic and geometric problem
it raises.
The talk will be accessible to graduate students.
Friday September 14, 2007 at 3:00 PM in SEO 636