Title	Ends of negatively curved manifolds
Creator	Avramidi, Grigori
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2013-08-08
Description	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.
Extent	40 minutes
Subject	Mathematics; Differential geometry; Manifolds and cell complexes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Chicago
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2014-08-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0043483
URI	http://hdl.handle.net/2429/49431
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Aggregated Source Repository	DSpace

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