University of Birmingham > Talks@bham > Birmingham and Warwick Algebra Seminar > The loop space homology of a small category

## The loop space homology of a small categoryAdd to your list(s) Download to your calendar using vCal - Carles Broto Universitat AutÃ²noma de Barcelona
- Wednesday 21 November 2018, 15:00-16:00
- Watson Building, Lecture Room A.
If you have a question about this talk, please contact Chris Parker. 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. This talk is part of the Birmingham and Warwick Algebra Seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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