Generic splitting for abstract Witt rings
Speaker: Vincent Astier (Universitaet Konstanz)
Date: Tue 17th July 2007
Location: Mathematical Sciences Seminar Room
The theory of generic splitting of quadratic forms over a field K describes how we can add (generic) zeros to a given quadratic form over K by going to a field extension of K, and then describes the Witt ring of some of these extensions.
Using some notions from model theory, we present a possible generalization of these techniques to abstract Witt rings (more precisely: to special groups), so to a situation whithout any underlying field.
(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)