Home /  Hot Topics: Artin Groups and Arrangements - Topology, Geometry, and Combinatorics

Workshop

Hot Topics: Artin Groups and Arrangements - Topology, Geometry, and Combinatorics March 11, 2024 - March 15, 2024
Registration Deadline: March 15, 2024 2 months ago
To apply for Funding you must register by: December 08, 2023 6 months ago
Parent Program: --
Series: Hot Topic, Hot Topic
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Christin Bibby (Louisiana State University), Ruth Charney (Brandeis University), Giovanni Paolini (Università di Bologna), Mario Salvetti (Università di Pisa)
Speaker(s)

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Description
Affine arrangement
The affine line arrangement of type C with different lattices and toric arrangements arising from it.
This workshop brings together experts from different areas to discuss and foster collaboration on several topics of current interest related to Artin groups such as the K(π, 1) conjecture, hyperplane arrangements and abelian arrangements, combinatorial structures associated with dual Coxeter systems, and complexes of nonpositive curvature. Bibliography Download a workshop flyer (PDF) to share with colleagues
Keywords and Mathematics Subject Classification (MSC)
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
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Mar 11, 2024
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  The dual approach to the K(π, 1) conjecture: affine, rank-three, and beyond
Giovanni Paolini (Università di Bologna)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Noncrossing partitions and dual cell structures on hyperplane complement
Jon McCammond (University of California, Santa Barbara)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  On the K(π, 1) problem for abelian arrangements
Emanuele Delucchi (University of Applied Arts and Sciences of Southern Switzerland)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Finite quotients of Artin groups
Kasia Jankiewicz (University of California, Santa Cruz)
Mar 12, 2024
Tuesday
09:30 AM - 10:30 AM
  Coxeter groups, Artin groups, buildings
Michael Davis (Ohio State University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  New Garside structures and Artin groups
Thomas Haettel (Université de Montpellier)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Invariants in the cohomology of the complement of a reflection arrangement
Gerhard Roehrle
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Towards a combinatorial characterization of K(π, 1) arrangements
Masahiko Yoshinaga
04:30 PM - 06:20 PM
  Reception
Mar 13, 2024
Wednesday
09:30 AM - 10:30 AM
  Artin groups and triangulated categories
Anthony Licata
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Categorification of descent algebras
Matthew Dyer (University of Notre Dame)
03:00 PM - 03:30 PM
  Afternoon Tea
Mar 14, 2024
Thursday
09:30 AM - 10:30 AM
  Combinatorial aspects of the dual approach to Coxeter and Artin groups
Barbara Baumeister (Bielefeld University)
10:30 AM - 10:35 AM
  Group Photo
10:35 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  K(π, 1)-conjecture for Artin groups via combinatorial non-positive curvature
Jingyin Huang (Ohio State University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The complexified complement of an arrangement—set pair
Galen Dorpalen Barry (University of Oregon)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Giving a quadratic solution for the word problem in 3-free Artin groups
María Cumplido (University of Sevilla)
Mar 15, 2024
Friday
09:30 AM - 10:30 AM
  Automorphisms of Artin groups of spherical type
Luis Paris (IMB, UMR 5584 CNRS)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  News on the isomorphism problem for Coxeter groups
Petra Schwer (Ruprecht-Karls-Universität Heidelberg)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Parabolic subgroups of complex braid groups
Ivan Marin (Universite d'Amiens (UPJV))
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Artin kernels and Milnor fibrations of arrangements
Alexandru Suciu (Northeastern University)