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Noncrossing partitions and dual cell structures on hyperplane complement

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

March 11, 2024 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Jon McCammond (University of California, Santa Barbara)
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

Noncrossing partitions and dual cell structures on hyperplane complement
Abstract

Braid groups are the original Artin groups and they have many different classifyng spaces: (1) Quotient of a complex hyperplane complement, (2) Monic polynomials with distinct roots, (3) Salvetti complex from face-identifying a permutahedron, and (4) Dual braid complex from face-identifying the order complex of the noncrossing partition lattice. This talk connects the hyperplane complement and the monic polynomials to the noncrossing partitions in the dual structure.  It is based on joint work with Michael Dougherty.
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Noncrossing partitions and dual cell structures on hyperplane complement

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