Seminars & Colloquia Calendar

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Topology/Geometry Seminar

Proper CAT(0) actions of unipotent-free linear groups

Sami Douba (McGill University)

Location:  zoom
Date & time: Tuesday, 05 October 2021 at 11:00AM - 12:00PM

ABSTRACT: Button observed that finitely generated linear groups containing no nontrivial unipotent matrices behave much like groups admitting proper actions by semisimple isometries on complete CAT(0) spaces. It turns out that any finitely generated linear group possesses an action on such a space whose restrictions to unipotent-free subgroups are in some sense tame. We discuss this phenomenon and some of its implications for the representation theory of certain 3-manifold groups.

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