Topology Seminar: Cihan Okay

  • Date: 11/14/2013
  • Time: 15:00
Cihan Okay, UBC

University of British Columbia


Homotopy Colimits of Classifying Spaces of Abelian Groups


Given a finite group G, homotopy colimit of the classifying spaces of its abelian subgroups capture information about the commutativity in the group. For the class of extraspecial 2-groups of rank greater than 2 these colimits are not of the homotopy type of a K(\pi,1) space. The main ingreadient in the proof is the calculation of the fundamental group. Another natural question is the complex K-theory of these homotopy colimits, which can be computed modulo torsion.

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Location: ESB 4133