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SUMMARY:Classifying spaces for families of subgroups - Victor Gonzales Mor
 eno\, Royal Holloway
DTSTART:20161125T153000Z
DTEND:20161125T163000Z
UID:TALK68315@talks.cam.ac.uk
CONTACT:Nicolas Dupré
DESCRIPTION:Classifying spaces for families of subgroups have been widely 
 studied in the case of the families of finite subgroups and virtually cycl
 ic subgroups\, due to them being the geometrical objects in the Baum-Conne
 s Conjecture and Farrell-Jones Conjecture\, respectively. However\, those 
 definitions and the Bredon Cohomology on which the algebraic meaning of th
 is objects relies are stated for all families of subgroups. For that reaso
 n\, classifying spaces for larger families of subgroups is a hardly explor
 ed and rich field. The aim of this talk is to define and illustrate with s
 ome examples and properties the concept of classifying spaces for families
  of subgroups and present a piece of my work on such spaces. In particular
 \, I will explain the construction of models for the classifying space for
  the family of subgroups of a polycyclic group $G$ of Hirsch length less t
 han or equal to $r$.\n\n*Please note: the seminar is in a different room a
 nd at a different time than usual\, because it is joint with the Junior Ge
 ometry Seminar\, see "here":http://www.talks.cam.ac.uk/talk/index/67593.*
LOCATION:CMS\, MR5
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