Witt Rings and Valuations

Speaker: K. Hutchinson (UCD)

Time: 4.00 PM

Date: Thursday October 11th  2012

Location: Mathematics Seminar Room, Room AG 1.01, First Floor, Agriculture Building, UCD Belfield

Abstract:

Given a field complete with respect to a valuation, Springer's Theorem relates the Witt ring (of anisotropic quadratic forms) of the field to the Witt ring of the corresponding residue field. We will give a short proof of a generalization of this result and discuss related examples and calculations. No prior knowledge of either Witt rings or valuations will be assumed.

Series: K Theory, Quadratic Form and Number Theory Seminar Series