Seminars & Colloquia Calendar
Generalized Brauer dimension and other arithmetic invariants of semi-global fields
Saurabh Gosavi (Rutgers)
Location: Hill 525
Date & time: Wednesday, 25 September 2019 at 2:00PM - 3:00PM
Abstract: Given a finite set of Brauer classes B of a fixed period \(ell\), we define ind(B) to be the g.c.d of degrees of field extensions L/F such that $alpha otimes F L=0$ for every alpha in B. We provide upper-bounds for ind(B) which depends upon arithmetic invariants of fields of lower arithmetic complexity. As a simple application of our result, we will obtain upper-bounds for the splitting index of quadratic forms and finiteness of symbol length for function fields of curves over higher-local fields.