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 will bring 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

Thursday 20 May: Joining instructions have been sent to all registered speakers and participants. If you have not recevied an email from Jane Walker at ICMS please check your spam folder.

Each day will begin with a talk in Zoom at 14.00 BST, with breaks using Gather.Town. In addtion there will be discussion sessions on Tuesday, Wednesday and Thursday.

Gather.Town is a video-calling space that lets multiple people hold separate conversations in parallel, walking in and out of those conversations as if they might do in an in-person meeting. Gather.Town looks like a retro video game and is very easy to navigate. A drop in session for Gather. Town will be held on Friday 21 May so that participants can test the space out for themselves.

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 is funded by the EPSRC New Investigator Award EP/S010963/1