Random graphs and applications to Coxeter groups

50 mins 43 secs,  220.98 MB,  WebM  640x360,  29.97 fps,  44100 Hz,  594.89 kbits/sec
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Description: Behrstock, J (City University of New York)
Wednesday 11th January 2017 - 11:30 to 12:30
 
Created: 2017-01-27 10:30
Collection: Non-Positive Curvature Group Actions and Cohomology
Publisher: Isaac Newton Institute
Copyright: Behrstock, J
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: Erdos and Renyi introduced a model for studying random graphs of a given "density" and proved that there is a sharp threshold at which lower density random graphs are disconnected and higher density ones are connected. We will explain some new threshold theorems for random graphs and focus in particular on applications to geometric group theory: these concern divergence functions, which provide quantifications of non-positive curvature. Some of this talk will be on joint work with Hagen and Sisto; other parts are joint work with Hagen, Susse, and Falgas-Ravry.
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