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Hyperbolic groups with boundary an n-dimensional Sierpinski space

Presented by: 
Jean-Francois Lafont Ohio State University
Date: 
Thursday 22nd June 2017 - 14:30 to 15:30
Venue: 
INI Seminar Room 1
Abstract: 
Let G be a torsion-free Gromov hyperbolic group, whose boundary at infinity is an n-dimensional Sierpinski space. I'll explain why, if n>4, the group G is in fact the fundamental group of a (unique) aspherical (n+2)-manifold with non-empty boundary. Time permitting, various related results will also be discussed. This is joint work with Bena Tshishiku.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons