Simon Gritschacher

Abstract: The study of spaces of homomorphisms from a discrete group to a compact Lie group has led to the definition of a new cohomology theory, called commutative K-theory. This theory, which was first introduced by Adem and Gomez, is a refinement...

Last time we have seen that the spectrum for commutative K-theory is equivalent to the ku-group ring of BU(1). In this second talk I will show how this induces a splitting of the space BcomU as a product of all the stages in the Whitehead tower for...

To a finite group G and an integer q > 0 one can associate the coset-poset of nilpotent subgroups of G of nilpotency class less than q. The nerve of this poset is a simplicial complex denoted E(q,G). It is closely related to a filtration of the...