Cubulating Artin groups via cubical small cancellation

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• Alexandre Martin (Heriot-Watt University)
• Monday 14 July 2025, 14:00-15:00
• Seminar Room 1, Newton Institute.

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NPCW06 - Non-positive curvature and applications

Artin groups form a large class of groups generalising braid groups and related to Coxeter groups. While the geometry of Coxeter groups is reasonably well understood, much less is known about the geometry of Artin groups. In particular, it is unknown whether they are properly cubulated, with until recently only a few classes of Artin groups known to be properly cubulated.   In this talk, I will report on joint work with Macarena Arenas, where we use tools from cubical small cancellation theory to prove that vast classes of Artin groups, and in particular all Artin groups with sufficiently large labels, are properly cubulated.

This talk is part of the Isaac Newton Institute Seminar Series series.

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