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Characterizing a vertex-transitive graph by a large ball

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NPCW04 - Approximation, deformation, quasification

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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