Structure of nilpotent approximate groups and applications

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• Romain Tessera (Institut de mathématiques de Jussieu)
• Tuesday 09 April 2019, 13:45-14:45
• CMS, MR13.

If you have a question about this talk, please contact Richard Webb.

In joint work with Matt Tointon we study the fine structure of approximate groups. We give various applications to growth, isoperimetry and electric resistance in finite vertex-transitive graphs. In particular, we solve two problems raised by Benjamini and Kozma, and deduce an analogue for finite graphs of Varopoulos’s result that an infinite Cayley graph has a recurrent random walk if an only if it has a finite-index subgroup isomorphic to Z or Z^2.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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