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SUMMARY:Approximating hyperbolic lattices by cubulations - Eduardo Reyes\,
  Max Planck Institute Bonn
DTSTART:20231117T134500Z
DTEND:20231117T144500Z
UID:TALK204367@talks.cam.ac.uk
CONTACT:Macarena Arenas
DESCRIPTION:The fundamental group of an n-dimensional closed hyperbolic ma
 nifold admits a natural isometric action on the hyperbolic space H^n^. Whe
 n n is at most 3 or the manifold is arithmetic of simplest type\, the grou
 p also admits many geometric actions on CAT(0) cube complexes. I will talk
  about a joint work with Nic Brody in which we approximate the asymptotic 
 geometry of the action on H^n^ by the actions on these complexes\, solving
  a conjecture of Futer and Wise. The main tool is a codimension-1 generali
 zation of the space of geodesic currents introduced by Bonahon. In the 3-d
 imensional case\, we also use some results about minimal surfaces in hyper
 bolic 3-manifolds.
LOCATION:MR13
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