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SUMMARY:Simon Gritschacher (University of Copenhagen)
DTSTART:20201102T104000Z
DTEND:20201102T113000Z
DTSTAMP:20260422T135419Z
UID:BilTop/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/4/">O
 n the space of commuting $n$-tuples in a Lie group</a>\nby Simon Gritschac
 her (University of Copenhagen) as part of Bilkent Topology Seminar\n\nLect
 ure held in SB-Z11.\n\nAbstract\nThe space of $n$-tuples of pairwise commu
 ting elements in a compact Lie group $G$ can be identified with a moduli s
 pace of flat $G$-bundles over the $n$-torus. Borel\, Friedman\, and Morgan
  studied spaces of commuting pairs and triples to answer questions arising
  in mathematical physics. Often the focus lies on the enumeration of conne
 cted components\, but little is known about their higher homotopy and homo
 logy groups. In this talk I will describe the second homology group of the
  space of commuting pairs in any connected Lie group. Some results about a
 bout $n$-tuples for $n>2$ in groups of type A or C are also obtained. This
  is joint work with Alejandro Adem and Jose Manuel Gomez.\n
LOCATION:https://researchseminars.org/talk/BilTop/4/
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