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News on the isomorphism problem for Coxeter groups

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

March 15, 2024 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Petra Schwer (Ruprecht-Karls-Universität Heidelberg)
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

News on the isomorphism problem for Coxeter groups
Abstract

While the isomorphism problem is undecidable in the full universe of groups, the region containing Coxeter groups is fairly well understood and it is expected that the problem is solvable within this class of groups. The Coxeter galaxy provides a framework to study this and related, more refined questions. In this talk we will provide an overview on the current state of the art concerning this problem and present some new results obtained in joint work with Yuri Santos Rego. 
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News on the isomorphism problem for Coxeter groups

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