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SUMMARY:Olof Sisask (Stockholm University)
DTSTART:20210218T143000Z
DTEND:20210218T160000Z
DTSTAMP:20260423T024455Z
UID:NumTheory/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NumTheory/8/
 ">Breaking the logarithmic barrier in Roth's theorem</a>\nby Olof Sisask (
 Stockholm University) as part of CRM-CICMA Québec Vermont Seminar Series\
 n\nLecture held in En ligne/Web.\n\nAbstract\nWe present an improvement to
  Roth's theorem on arithmetic progressions\, implying the first non-trivia
 l case of a conjecture of Erdős: if a subset A of {1\,2\,3\,...} is not t
 oo sparse\, in that the sum of its reciprocals diverges\, then A must cont
 ain infinitely many three-term arithmetic progressions. Although a problem
  in number theory and combinatorics on the surface\, it turns out to have 
 fascinating links with geometry\, harmonic analysis and probability\, and 
 we shall aim to give something of a flavour of this.\n
LOCATION:https://researchseminars.org/talk/NumTheory/8/
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