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SUMMARY:Bernardo Villarreal (National Autonomous University of Mexico)
DTSTART:20201130T140000Z
DTEND:20201130T145000Z
DTSTAMP:20260422T135516Z
UID:BilTop/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/9/">A
  Lie group analogue of the coset poset of abelian subgroups</a>\nby Bernar
 do Villarreal (National Autonomous University of Mexico) as part of Bilken
 t Topology Seminar\n\nLecture held in SB-Z11.\n\nAbstract\nTo a group G an
 d a family of subgroups F\, one can associate a simplicial complex C(F\,G)
 \, whose simplices are in correspondence with the chains of cosets of G\, 
 with respect to F. Abels and Holz studied some homotopy properties of C(F\
 ,G)\, and their relationship with G. For example\, C(F\,G) is simply-conne
 cted if and only if G is the amalgamated product of subgroups in F along i
 ts intersections. C. Okay noted that for an arbitrary group G\, specializi
 ng the simple-connectivity of C(F\,G) to the family of abelian subgroups\,
  forces G to be abelian.\n\nIn this talk I will discuss a Lie group analog
 ue of C(F\,G) with respect to the family of abelian subgroups\, arising fr
 om the work of Adem\, Cohen and Torres-Giese. The main result I will descr
 ibe is recent work with O. Antolín-Camarena and S. Gritschacher which dea
 ls with the analogue of Okay’s result for compact Lie groups.\n
LOCATION:https://researchseminars.org/talk/BilTop/9/
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