Topology Seminar: Cihan Okay
Topic
Homotopy colimits of classifying spaces of finite groups and K-theory
Speakers
Details
Let G be a finite group, we consider the homotopy colimit of classifying spaces of abelian subgroups of G. This space is a K(\pi,1) for certain finite groups, but there are examples when the space has non-vanishing higher homotopy groups. I will also talk about the complex K-theory of this space and give some examples.