Graduate Student Colloquium
Caroline Terry
UIC
A History of Model Theory and an Excursion into a Universal Metric Space
Abstract: We introduce some questions that drove the development of early model theory, in particular questions of counting the number of models of a theory.
We then discuss the answers to these questions, and some of the techniques developed to do so.
In particular we consider the example of algebraically closed fields of characteristic zero, and the interpretation of some stability theoretic notions there.
Finally we discuss the interpretation of some of these notions in a particular unstable theory, that of the rational Urysohn sphere, i.e. the unique universal
and homogeneous countable rational metric space.
Monday November 18, 2013 at 5:30 PM in SEO 636