Sums of values represented by a quadratic form

Speaker: Nicolas Grenier-Boley (Universite Paris 13)

Time: 3:00PM
Date: Wed 2nd February 2011

Location: Mathematical Sciences Seminar Room

Let K be a field of characteristic different from 2. To each quadratic space (V,q) over K, we attach a number called the q-level of K which is a possible generalization of the level of K. In this talk, we will give some general results and examples about this number and highlight the case where q is a Pfister form over K by obtaining generalizations of classical results in the algebraic theory of quadratic forms.

(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)