Videos

Hot Topics: Artin Groups and Arrangements - Topology, Geometry, and Combinatorics: "Coxeter groups, Artin groups, buildings"

Presenter
March 12, 2024
SLMath
Keywords:
  • Artin groups
  • braid groups
  • Coxeter groups
  • reflection groups
  • Garside structures
  • classifying spaces
  • hyperplane arrangements
  • subspace arrangements
  • configuration spaces
  • geometric group theory
  • Matroids
  • cohomology
MSC:
  • 14N20
  • 20F36
Hot Topics: Artin Groups and Arrangements - Topology, Geometry, and Combinatorics: "Coxeter groups, Artin groups, buildings" Thumbnail
Play Video
Abstract
I will discuss similarities and differences between the Davis-Moussong complex of a Coxeter system, the Deligne complex of an Artin group, and the standard realization of a building. All three correspond to simple complexes of groups with the same strict fundamental domain. For the Deligne complex the missing ingredient is nonpositive curvature.