Characterizing a vertex-transitive graph by a large ball

60 mins,  230.13 MB,  iPod Video  480x270,  29.97 fps,  44100 Hz,  523.67 kbits/sec
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Description: de la Salle, M (ENS - Lyon, CNRS (Centre national de la recherche scientifique))
Monday 8th May 2017 - 16:00 to 17:00
 
Created: 2017-05-10 15:39
Collection: Non-Positive Curvature Group Actions and Cohomology
Publisher: Isaac Newton Institute
Copyright: de la Salle, M
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: The subject of the talk will be vertex-transitive infinite connected graphs with bounded degree and with a property of large scale simple connectedness. The most classical examples of such objects are Cayley graphs of finitely presented groups, but I will explain that there are (uncountably) many other, and I will study some topological questions on the space of all such graphs. In particular I will give some answers to a question of Benjamini and Georgakopoulos asking which Cayley graphs are isolated. Based on joint works with Romain Tessera.
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