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A Deligne complex for Artin monoids

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  • UserRachael Boyd (University of Cambridge)
  • ClockFriday 21 January 2022, 13:45-14:45
  • HouseMR13.

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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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