# Common slots of bilinear and quadratic Pfister forms

Wed, 17/10/2018 - 10:00

Speaker:

Dr. Adam Chapman (Tel-Hai Academic College)

Seminar:

Place:

Third floor seminar room

Abstract:

We say that I^n(F) is m-linked if any m bilinear n-fold Pfsiter forms have a common (n-1)-fold factor. In a recent publication, Karim Becher pointed out that when F is a global field, I^n(F) is m-linked for every positive integer m, and raised the question of whether I^n(F) being 3-linked implies that it is m-linked for every positive integer m. In the special case of characteristic 2, this question can be phrased in two versions - one for bilinear forms and another for quadratic forms. We will provide negative answers to both versions of the question in characteristic 2 and discuss some open problems.

- Last modified: 8/10/2018