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SUMMARY:Contributed Talk - The low dimensional homology of Coxeter groups 
 - Rachael  Boyd (Norwegian University of Science and Technology)
DTSTART:20181206T150000Z
DTEND:20181206T153000Z
UID:TALK115423@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Coxeter groups were introduced by Tits in the 1960s as abstrac
 tions of the finite reflection groups studied by Coxeter. Any Coxeter grou
 p acts by reflections on a contractible complex\, called the Davis complex
 . This talk focuses on a computation of the first three integral homology 
 groups of an arbitrary Coxeter group using an isotropy spectral sequence a
 rgument: the answer can be phrased purely in terms of the original Coxeter
  diagram. I will give an introduction to Coxeter groups and the Davis comp
 lex before outlining the proof.
LOCATION:Seminar Room 1\, Newton Institute
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