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K(pi,1)-conjecture for 3-dimensional Artin groups

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OGGW02 - Actions on graphs and metric spaces

The K(pi,1)-conjecture, due to Arnold, Brieskorn, Pham, and Thom, predicts that for each Artin group, the space of regular orbits of a canonical action of the associated Coxeter group is a classifying space for this Artin group. We sketch a proof of the K(pi,1)-conjecture for all 3-dimensional Artin groups (as well as some higher dimensional ones), which is based on a new notion of combinatorial non-positive curvature. This is joint work with Piotr Przytycki.

This talk is part of the Isaac Newton Institute Seminar Series series.

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