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CATEGORIES:Special DPMMS Colloquium
SUMMARY:The structure of approximate Abelian groups - Tom
Sanders (Oxford)
DTSTART;TZID=Europe/London:20130205T140000
DTEND;TZID=Europe/London:20130205T150000
UID:TALK43227AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/43227
DESCRIPTION:In this talk we shall look at the structure of set
s that partially satisfy the axioms of an Abelian
group. Specifically\, we shall look at sets $A$ f
or which the proportion of triples $x\,y\,z \\in A
$ having $x+y-z \\in A$ is at least $\\delta$. (I
f $\\delta =1$ 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 goal is to cover some
recent improvements in this result. The talk is
intended to be accessible\, and will cover example
s as well as what Freiman's theorem is and why it
is important.'\n
LOCATION:CMS\, MR11
CONTACT:HoD Secretary\, DPMMS
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