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Cubulating groups acting on polygonal complexes

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Given a group G acting on a CAT polygonal complex, X, it is natural to ask whether the structure of X allows us to deduce properties of G, for example whether G has a codimension-1 subgroup (and so does not have Property (T)), the Haageruup property, or even if G is special. We discuss some recent work on local properties that X may possess which allow us to answer these questions.

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

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Library Court Seminar room, Jesus College Bill Gates Sr House, 17 Mill Lane, Cambridge, CB2 1RX Room 119, ARB

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