Surface subgroups of graphs of free groups

53 mins 23 secs,  204.14 MB,  iPod Video  480x270,  29.97 fps,  44100 Hz,  522.11 kbits/sec
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Description: Wilton, H
Wednesday 21st June 2017 - 11:30 to 12:30
 
Created: 2017-07-19 15:03
Collection: Non-Positive Curvature Group Actions and Cohomology
Publisher: Isaac Newton Institute
Copyright: Wilton, H
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: A well known question, usually attributed to Gromov, asks whether every hyperbolic group is either virtually free or contains a surface subgroup. I’ll discuss the answer to this problem for the class of groups in the title when the edge groups are cyclic. The main theorem is a result about free groups F which is of interest in its own right: whether of not an element w of F is primitive can be detected in the abelianizations of finite-index subgroup of F. I’ll also mention an application to the profinite rigidity of the free group.
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