The u-Invariant and Friends

Authors

Adam Chapman, Tel-Hai College in Israel

Document Type

Presentation Abstract

Presentation Date

2-25-2020

Abstract

The maximal dimension of an anisotropic quadratic forms over a given field is an important arithmetic field invariant known as the u-invariant.

We will discuss the computation of the u-invariant in certain cases, and propose a finer invariant that tells apart fields the identical u-invariant based on the linkage properties of quaternion algebras over the fields.

The talk is partially based on joint work with Jean-Pierre Tignol.

Additional Details

Algebra Seminar

February 25, 2020 at 4:00 p.m. in Math 211

Recommended Citation

Chapman, Adam, "The u-Invariant and Friends" (2020). Colloquia of the Department of Mathematical Sciences. 592.
https://scholarworks.umt.edu/mathcolloquia/592