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Copyright © 2011 Claremont Center for the Mathematical Sciences

11/16/2010 - 12:15pm

11/16/2010 - 1:10pm

Speaker:

Benjamin Antieau (UCLA)

Abstract:

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 H^{3}(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.

Where:

Millikan 208 (Pomona College)