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Romain Tessera (Institut de mathématiques de Jussieu)
Tuesday 09 April 2019, 13:45-14:45
Structure of nilpotent approximate groups and applications
- 👤 Speaker: Romain Tessera (Institut de mathématiques de Jussieu)
- 📅 Date & Time: Tuesday 09 April 2019, 13:45 - 14:45
- 📍 Venue: CMS, MR13
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Richard Webb
Abstract
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.
Series This talk is part of the Geometric Group Theory (GGT) Seminar series.
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