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Artin groups and nonpositive curvature

Groups acting on CAT(0) spaces September 27, 2016 - September 30, 2016

September 29, 2016 (04:00 PM PDT - 04:50 PM PDT)
Speaker(s): Thomas Haettel (Université de Montpellier)
Location: MSRI: Simons Auditorium



Artin groups seem to enjoy several nonpositive curvature features. First, I will explain how braid groups with at most 6 strands act properly and cocompactly on a CAT(0) simplicial complex (joint work with D. Kielak and P. Schwer, following T. Brady and J. McCammond). Secondly, I will describe, more generally than the classical right-angled ones, which Artin groups act properly and cocompactly on a CAT(0) cube complex (related to work of J. Huang, K. Jankiewicz and P. Przytycki).


26820?type=thumb Haettel.Notes 948 KB application/pdf Download
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