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SUMMARY:Sets without arithmetic progressions\, and patterns in arithmetic 
 progressions - Christian Elsholtz (Graz)
DTSTART:20110505T133000Z
DTEND:20110505T143000Z
UID:TALK29675@talks.cam.ac.uk
CONTACT:Andrew Thomason
DESCRIPTION:We give a survey of several recent results in the area of sets
  with or without arithmetic progressions. In one of these we study the max
 imal size of an iterated sumset in a set without arithmetic progressions. 
 As an application we improve a result of Hegyvari and Sarkozy on the maxim
 al dimension in a Hilbert cube in the set of squares in [1\,N] from d=O((l
 og N)^1/3^) to O((log log N)^2^).\n
LOCATION:MR12
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