Topological and  Algebraic Aspects of Virtual Artin Groups

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• Federica Gavazzi, Heriot-Watt
• Friday 21 November 2025, 13:45-14:45
• Seminar Room 2, Isaac Newton Institute.

If you have a question about this talk, please contact Macarena Arenas.

Virtual Artin groups were introduced a few years ago by Bellingeri, Paris, and Thiel with the aim of generalizing the well-studied structure of virtual braids to all Artin groups. In this talk, we will present two possible perspectives for studying these groups: an algebraic one and a topological one. From a topological point of view, we will explore the construction of K(π,1) spaces for certain subgroups of virtual Artin groups, linking them to a famous conjecture and existing constructions. By an algebraic/group theoretic approach, we will investigate the rigidity of these groups, specifically addressing the question of whether they can be decomposed into a direct product of two proper subgroups. The answer to this question provides interesting insights into the automorphism groups of these structures.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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