Cihan Okay

This talk is the second talk in a series of talks about Hochschild (co)homology and cyclic (co)homology

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...

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...

Given a group G the space of n-tuples of pairwise commuting elements can be assembled into a subspace Bcom(G) of the classifying space BG. This space classifies certain types of principal bundles, but unlike BG it is not always aspherical for...

The classifying space for commutativity, denoted by B_\text{com} G, of a Lie group G is assembled from commuting tuples in G as a subspace of the usual classifying space BG. The resulting space classifies principal G-bundles whose transition...