Perspectives on Artin Groups

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Perspectives on Artin Groups

 24 - 27 May 2021

Online

  • Alexandre Martin, Heriot-Watt University

About:

Artin groups form an important class of groups that generalise braid groups. While many problems about these groups remain open in general, our understanding of the structure and geometry of Artin groups has seen dramatic advances in recent years. This workshop brought together mathematicians working on general Artin groups from various perspectives (actions in non-positive curvature, Garside structures, algorithmic aspects, combinatorics, etc.) to encourage new interactions and collaborations.

Arrangements

Monday 24 May
María Cumplido, University of Seville Garside structure on Artin groups
Matthieu Calvez, Heriot-Watt University Strongly contracting elements in Garside groups
Break in GatherTown
Discussion session
Tuesday 25 May
Luis Paris, Institute de Mathematiques de Bourgogne Isomorphism problem for even Artin groups
Sarah Rees, University of Newcastle Rewriting and decision problems in Artin groups
Break in GatherTown
Jon McCammond, University of California, Santa Barbara Dual Braids in the Complex Braid Arrangement Complement
Wednesday 26 May
Ruth Charney, Brandeis University What can we learn from Artin monoids?
Nicolas Vaskou, Heriot-Watt University Parabolic subgroups of large-type Artin groups
Break in GatherTown
Discussion session
Thursday 27 May
Damian Osajda, University of Wrocław Helly groups
Thomas Haettel, Université de Montpellier Helly graphs, injective metrics and Artin groups
Break in GatherTown
Discussion session

Sponsors and Funders:

This workshop was funded by the EPSRC New Investigator Award EP/S010963/1