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Cocompactly cubulated Artin groups

Groups acting on CAT(0) spaces September 27, 2016 - September 30, 2016

September 29, 2016 (02:30 PM PDT - 03:20 PM PDT)
Speaker(s): Kasia Jankiewicz (University of California, Santa Cruz)
Location: MSRI: Simons Auditorium



We exhibit a class of Artin groups that are the fundamental groups of non positively curved compact cube complexes. We show that 2-dimensional or 3-generator Artin groups outside this class are not the fundamental groups of NPCCCs, even virtually. In particular, this includes the braid group on 4 strands. This is joint work with Jingyin Huang and Piotr Przytycki. Similar results have been obtained by Thomas Haettel.

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