Artin groups and nonpositive curvature
Groups acting on CAT(0) spaces September 27, 2016 - September 30, 2016
Location: MSRI: Simons Auditorium
CAT(0) space
Riemannian geometry
negative curvature manifolds
braid groups
generators and relations
proper action
cubical groups
57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}
58D05 - Groups of diffeomorphisms and homeomorphisms as manifolds [See also 22E65, 57S05]
14618
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).
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14618
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