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Speaker:
Omar Antolín Camarena
Zugehörigkeit:
National Autonomous University of Mexico
Datum:
Mon, 16/03/2020 - 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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