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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Contributed Talk - The low dimensional homology of Coxeter groups

## Contributed Talk - The low dimensional homology of Coxeter groupsAdd to your list(s) Download to your calendar using vCal - Rachael Boyd (Norwegian University of Science and Technology)
- Thursday 06 December 2018, 15:00-15:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. HHHW04 - Manifolds Coxeter groups were introduced by Tits in the 1960s as abstractions of the finite reflection groups studied by Coxeter. Any Coxeter group acts by reflections on a contractible complex, called the Davis complex. This talk focuses on a computation of the first three integral homology groups of an arbitrary Coxeter group using an isotropy spectral sequence argument: the answer can be phrased purely in terms of the original Coxeter diagram. I will give an introduction to Coxeter groups and the Davis complex before outlining the proof. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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