Topology Seminar - "The loop space homology of a small category", Professor Carles Broto (Autonoma de Barcelona) Seminar

Event details

We generalise some results of Dave Benson on the homology of the loop space of a p-completed classifying space of a finite group. In particular, we show that the loop space homology of a plus construction (in the sense of Quillen) of the nerve of a small category can be computed in purely algebraic terms as the homology of a chain complex of projective RC-modules satisfying a certain list of algebraic conditions that determine it uniquely up to chain homotopy. This is joint work with Ran Levi and Bob Oliver.