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Affine actions, cohomology and hyperbolicity

Presented by: 
Erik Guentner University of Hawaii
Date: 
Tuesday 23rd May 2017 - 10:00 to 11:00
Venue: 
INI Seminar Room 2
Abstract: 
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(0) 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.



University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons