Algebra and Algebraic Geometry Seminar  

Title: Brauer Groups in Stable Homotopy Theory

 

Abstract: Let k be a field. The collection of (isomorphism classes of) central division algebras over k can be organized into an abelian group Br(k), called the Brauer group of k. In this talk, I'll describe a variant of the Brauer group which appears in algebraic topology, controlling the classification of "division algebras" in stable homotopy theory.