The u-invariant of p-adic function fields

**Speaker**: Professor David Leep (University of Kentucky)

**Time**: 4:15PM**Date**: Mon 10th May 2010

**Location**: Mathematical Sciences Seminar Room

**Abstract**

The u-invariant of a field F is the smallest integer N such that every quadratic form defined over F in more than N variables has a nontrivial zero defined over F. The u-invariant has been calculated for many familiar fields such as algebraically closed fields, finite fields, p-adic fields, number fields, and power series fields over these fields. The u-invariant has also been calculated for function fields over algebraically closed fields and finite fields.

Computing the u-invariant of a function field defined over a p-adic field has only recently been solved. This talk will give the computation of the u-invariant over p-adic function fields. We will discuss the history and background to this result.

[Please note the later starting time of 4.15pm.]

(This talk is part of the Algebra/Claude Shannon Institute series.)

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