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Globus Seminar
September 12, 2013 15:40, Moscow, IUM (Bolshoi Vlas'evskii per., 11)
 


Hausdorff-Gromov Limits of Rescaled Finite Transitive Graphs

Romain Tessera

École Normale Supérieure de Lyon
Video records:
Flash Video 436.2 Mb
Flash Video 437.4 Mb
MP4 437.4 Mb
MP4 436.2 Mb

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Abstract: Given a finite transitive graph, we consider the underlying metric space obtained by rescaling the graph metric so that the diameter is 1. In this talk we will discuss under which conditions a sequence of such spaces converge for the Hausdorff-Gromov topology and what limit can be achieved. We will take advantage of this interesting question to discuss various aspects of geometric group theory: Cayley graphs, growth function, convergent sequences of metric spaces…The talk is based on a recent work of the speaker joint with Itai Benjamini and Hilary Finucane.

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