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Finite quotients of Artin groups

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

March 11, 2024 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Kasia Jankiewicz (University of California, Santa Cruz)
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
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Abstract

In this talk, I will discuss profinite properties of Artin groups, such as residual finiteness, and the connection between the group and its profinite completion. Informally, those properties tell us if the geometry and the algebra of the group can be approximated by its finite quotients. I will discuss some of my contributions, including joint work with Kevin Schreve. 

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