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A Deligne complex for Artin monoids

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This talk is based on joint work with Charney and Morris-Wright (https://arxiv.org/abs/2007.12156). I will motivate the study of Artin monoids before outlining our construction of the monoid Deligne complex, which generalises the notion of Deligne complexes for Artin groups. I will discuss geometric properties of this complex, including the fact that the monoid Deligne complex is always contractible, with a locally isometric embedding into the Deligne complex of the corresponding Artin group.

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

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Lecture Theatre 1, Department of Computer Science and Technology, University of Cambridge, Willilam Gates Building, 15 JJ Thomson Ave, Cambridge CB3 0FD Staff Counselling Service, Bene't Place, Lensfield Road Cambridge University Computing and Technology Society (CUCaTS)

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