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Characterizing a vertex-transitive graph by a large ball

Presented by: 
Mikael de la Salle ENS - Lyon, CNRS (Centre national de la recherche scientifique)
Date: 
Monday 8th May 2017 - 16:00 to 17:00
Venue: 
INI Seminar Room 1
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons