EVENT DETAILS AND ABSTRACT

Title:
Speaker: Adam Chapman
Speaker Info: Tel-Hai College
Brief Description:
Special Note:
Abstract:

The maximal dimension of an anisotropic quadratic form over a given field is an important arithmetic field invariant known as the u-invariant, and is related to the cohomological dimension of the field. We will discuss the computation of the u-invariant in certain cases, and propose a finer invariant that can distinguish fields with 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.