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SUMMARY:Approximate groups: introduction\, recent results and applications
DTSTART:20110420T171500
DTSTAMP:20260407T230337Z
UID:53ea39b17e1fee76524936c55d99942cc5345dee0bea2b90b89c7dc8
CATEGORIES:Conferences - Seminars
DESCRIPTION:Emmanuel Breuillard\nThe study of approximate groups\, that is
  finite subsets of a group that are ''almost closed'' under multiplication
 \, and their rough classification has developed rapidly in the past few ye
 ars mostly driven by applications to expander graphs in computer science a
 nd sieve theory in arithmetic. A shift in perspective occurred a couple of
  years ago when this mostly combinatorial question was recast in the frame
 work of model theory by E. Hrushovski who obtained\, among other things\, 
 a classification of approximate subgroups of GL_n. In the talk I will pres
 ent these developments and their subsequent quantitative refinements. \nBa
 sed on a joint work with Ben Green and Terence Tao.
LOCATION:CM 1 1 https://plan.epfl.ch/?room==CM%201%201
STATUS:CONFIRMED
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