The borders of Outer space

53 mins 15 secs,  773.01 MB,  MPEG-4 Video  640x360,  29.97 fps,  44100 Hz,  1.93 Mbits/sec
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Description: Vogtmann, K
Friday 23rd June 2017 - 14:30 to 15:30
 
Created: 2017-07-19 16:26
Collection: Non-Abelian Fundamental Groups in Arithmetic Geometry
Publisher: Isaac Newton Institute
Copyright: Vogtmann, K
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: Outer space is an analog for the group Out(F_n) of the symmetric space associated to an algebraic group. Motivated by work of Borel and Serre, Bestvina and Feighn defined a bordification of Outer space; this is an enlargement of outer space which is highly-connected at infinity and on which the action of Out(F_n) extends, with compact quotient. We realize this bordification as a deformation retract of Outer space instead of an extension. We use this to give a simpler connectivity proof, and to give a description of the boundary nicely analogous to that of the Borel-Serre boundary of a symmetric space. This is joint work with Kai-Uwe Bux and Peter Smillie.
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