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-- CANCELLED -- Classifying spaces for commutativity in groups, I

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Speaker: 
Omar Antolín Camarena
Affiliation: 
National Autonomous University of Mexico
Date: 
Mon, 2020-03-16 15:00 - 16:00
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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