# Brauer Groups in Algebraic Topology III

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Speaker:
Jacob Lurie
Affiliation:
Harvard
Date:
Fri, 2017-06-23 09:30 - 10:30
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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