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Lorenzo Ruffoni, PMA 12.166: Special cubulation of strict hyperbolization
Monday, August 29, 2022, 02:00pm - 03:00pm
Abstract: Gromov introduced some "hyperbolization" procedures, i.e. some procedures that turn a given polyhedron into a space of non-positive curvature. Charney and Davis then developed a refined "strict hyperbolization" procedure that outputs a space of strictly negative curvature. Their procedure has been used to construct examples of manifolds and groups that exhibit various pathologies, despite having negative curvature. We construct actions of the resulting groups on CAT(0) cube complexes. As an application, we obtain that they are virtually special, hence linear over the integers and residually finite. This is joint work with J. Lafont.
Location: PMA 12.166

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