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Brauer Groups in Algebraic Topology I

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Speaker: 
Jacob Lurie
Affiliation: 
Harvard
Date: 
Wed, 2017-06-21 11:00 - 12:00
Location: 
MPIM Lecture Hall

Let $k$ be a field. The collection of (isomorphism classes of) central division algebras over $k$ can be organized into an abelian group $\mathrm{Br}(k)$, called the Brauer group of $k$. In this series of talks, I'll describe some joint work with Mike Hopkins on a variant of the Brauer group which arises in algebraic topology, controlling the classification of certain cohomology theories known as Morava $K$-theories.

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