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Affine actions, cohomology and hyperbolicity

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NPC - Non-positive curvature group actions and cohomology

Many groups admit an affine action on a Hilbert, or suitable Banach space which is proper, or at least has an unbounded orbit. For example, CAT cubical groups act properly on Hilbert space; and a hyperbolic group acts properly on an Lp-space, although some cannot act on a Hilbert space with an unbounded orbit (or even without a global fixed point). In the talk I will describe these results and will discuss some recent work, joint with Eric Reckwerdt and Romain Tessera, on the existence of affine actions of relatively hyperbolic groups.

This talk is part of the Isaac Newton Institute Seminar Series series.

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