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Hyperbolic groups with boundary an n-dimensional Sierpinski space

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NPCW05 - Group actions and cohomology in non-positive curvature

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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