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SUMMARY:The structure of approximate Abelian groups - Tom Sanders (Oxford)
DTSTART:20130205T140000Z
DTEND:20130205T150000Z
UID:TALK43227@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:In this talk we shall look at the structure of sets that parti
 ally satisfy the axioms of an Abelian group.  Specifically\, we shall look
  at sets $A$ for which the proportion of triples $x\,y\,z \\in A$ having $
 x+y-z \\in A$ is at least $\\delta$.  (If $\\delta =1$ then such sets are 
 genuine cosets\; for smaller $\\delta$ we think of them as partial cosets.
 )  A description of these sets is given by Freiman's theorem\, and our goa
 l is to cover some recent improvements in this result.  The talk is intend
 ed to be accessible\, and will cover examples as well as what Freiman's th
 eorem is and why it is important.'\n
LOCATION:CMS\, MR11
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