Jérôme Scherer: homotopy nilpotency and the torus theorem

This is joint work with Cristina Costoya and Antonio Viruel. It is about understanding the concept of homotopy nilpotency introduced by Biedermann and Dwyer. We introduce a more elementary invariant counting the minimal number of fibrations whose fibers are infinite loop spaces. This allows us to prove a version of the Torus Theorem for finite homotopy nilpotent groups.