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SUMMARY:Somewhere between Freiman's theorem and the Polynomial Freiman-Ruz
 sa conjecture - Sanders\, T (Cambridge)
DTSTART:20110330T153000Z
DTEND:20110330T163000Z
UID:TALK30466@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Freiman's theorem describes the structure of sets of integers 
 having small doubling which enjoys numerous applications in additive combi
 natorics.  While the result is qualitatively comprehensive\, a truer pictu
 re is suggested by the Polynomial Freiman-Ruzsa conjecture\, and in this t
 alk we shall discuss how a remarkable new technique of Croot and Sisask ca
 n be used in conjunction with a trick of Lopez and Ross to provide much cl
 earer quantitative information. We shall focus on the model finite field s
 etting where there are few prerequisites and the details are the cleanest.
  \n\n
LOCATION:Seminar Room 1\, Newton Institute
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