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Speaker:

Omar Antolín Camarena
Affiliation:

National Autonomous University of Mexico
Date:

Mon, 2020-03-16 16:30 - 17:30
Location:

MPIM Lecture Hall
Parent event:

MPIM Topology Seminar Given a topological group G, we can think of the space ofhomomorphisms $\hom(\mathbb{Z}^n, G)$ as the space of

$n$-tuples of elements of $G$ that commute pairwise. These spaces are more subtle than one might think, and even basic

invariants such as the number of connected components can lead to surprising results. Fixing $G$ and varying $n$ we can

construct what is known as the classifying space for commutativity in $G$. I will survey what is known about these

classifying spaces, whose study is still young.

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