The etale index of division algebras

11/16/2010 - 12:15pm
11/16/2010 - 1:10pm
Benjamin Antieau (UCLA)

After introducing the period-index problem for division algebras, we introduce the etale index of a division algebra, a possibly new integer invariant. We then compare this to the problem of studying the smallest rank topological Azumaya algebras in a torsion class in H3(X,Z), when X is a CW-complex. We prove a general theorem comparing the period and the spectral index, and we consider some special cases of the topological problem.

Millikan 208 (Pomona College)