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Coxeter groups, Artin groups, buildings

Hot Topics: Artin Groups and Arrangements - Topology, Geometry, and Combinatorics March 11, 2024 - March 15, 2024

March 12, 2024 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Michael Davis (Ohio State University)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Tags/Keywords

  • Artin groups

  • braid groups

  • Coxeter groups

  • reflection groups

  • Garside structures

  • classifying spaces

  • hyperplane arrangements

  • subspace arrangements

  • configuration spaces

  • geometric group theory

  • Matroids

  • cohomology

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Coxeter groups, Artin groups, buildings
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.
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Coxeter groups, Artin groups, buildings

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