Nicolas Grenier-Boley (Universite Paris 13)

will speak on

Sums of values represented by a quadratic form

Time: 3:00PM
Date: Wed 2nd February 2011
Location: Mathematical Sciences Seminar Room [map]

Abstract: 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.)

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