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SUMMARY:Structure of nilpotent approximate groups and applications - Romai
 n Tessera (Institut de mathématiques de Jussieu)
DTSTART:20190409T124500Z
DTEND:20190409T134500Z
UID:TALK120865@talks.cam.ac.uk
CONTACT:Richard Webb
DESCRIPTION: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 ana
 logue for finite graphs of Varopoulos's result that an infinite Cayley gra
 ph has a recurrent random walk if an only if it has a finite-index subgrou
 p isomorphic to Z or Z^2.
LOCATION:CMS\, MR13
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