Characterizing a vertex-transitive graph by a large ball
Duration: 60 mins
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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 |
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| Created: | 2017-05-10 15:39 |
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| Collection: | Non-Positive Curvature Group Actions and Cohomology |
| Publisher: | Isaac Newton Institute |
| Copyright: | de la Salle, M |
| Language: | eng (English) |
| 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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