BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Ends of negatively curved manifolds Avramidi, Grigori


A theorem of Gromov says that a complete finite volume Rieman- nian manifold of bounded negative curvature is the interior of a compact manifold with boundary. If, in addition, the curvature is bounded away from zero then the boundary is an aspherical manifold with virtually nilpotent fundamental group. I will discuss examples showing this is no longer true if the curvature is allowed to approach zero. Then, I will explain a recent result showing that in dimension four the boundary is aspherical. This is joint work with Yunhui Wu and Tam Nguyen Phan.

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