"Abstract elementary classes and absolute Galois groups"

Seminar series

Advanced Logic Class

Date

Thu, 02 Jun 2011
11:00

Location

Speaker

Franziska Jahnke

Organisation

Oxford

The class of fields with a given absolute Galois group is in general not an elementary class. Looking instead at abstract elementary classes we can show that this class, as well as the class of pairs (F,K), where F is a function field in one variable over a perfect base field K with a fixed absolute Galois group, is abstract elementary. The aim is to show categoricity for the latter class. In this talk, we will be discussing some consequences of basic properties of these two classes.