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