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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.
Abstracts
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