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SUMMARY:Nilpotent approximate groups - Matthew Tointon\, University of Cam
 bridge
DTSTART:20130308T140000Z
DTEND:20130308T150000Z
UID:TALK41530@talks.cam.ac.uk
CONTACT:Joanna Fawcett
DESCRIPTION:In various situations in mathematics\, considering approximate
  analogues of precise algebraic properties can lead to the objects they de
 fine becoming far more widely applicable. An area that has received consi
 derable attention in that regard in recent years is the study of 'approxim
 ate groups'. Originating in additive combinatorics\, these objects have in
 creasingly been applied to obtain results in a diverse array of other fie
 lds\, such as number theory\, differential geometry\, geometric group theo
 ry and theoretical computer science.\n\nA number of authors have made atte
 mpts at understanding approximate subgroups of nilpotent groups\, with par
 tial results due to Green-Ruzsa\, Tao and Breuillard-Green\, amongst other
 s\, appearing in recent years. In this talk I will outline a result classi
 fying the approximate subgroups of an arbitrary nilpotent group\, generali
 sing all of these earlier works.\n
LOCATION:MR4
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