TOPOLOGY SEMINAR

12/2/2004

Alejandro Adem
University of Wisconsin and Princeton University

Toroidal orbifolds and group cohomology

Given an orbifold arising from a finite group action on an n-torus, we will describe a method for computing the cohomology of its classifying space. In particular we will obtain complete calculations for certain six-dimensional examples, which have been of interest in math/physics. More generally we will show that this relates to a natural conjecture in group cohomology. This is joint work with J.Pan.