Presented by:
Erik Guentner
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.