Vincent Astier (Universitaet Konstanz)

will speak on

Generic splitting for abstract Witt rings

Time: 3:00PM
Date: Tue 17th July 2007
Location: Mathematical Sciences Seminar Room [map]

Abstract: 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.)

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