Breaking the logarithmic barrier in Roth's theorem
Olof Sisask (Stockholm University)
18-Feb-2021, 14:30-16:00 (3 years ago)
Abstract: We present an improvement to Roth's theorem on arithmetic progressions, implying the first non-trivial case of a conjecture of Erdős: if a subset A of {1,2,3,...} is not too sparse, in that the sum of its reciprocals diverges, then A must contain 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.
number theory
Audience: researchers in the topic
CRM-CICMA Québec Vermont Seminar Series
Series comments: En ligne/Web - Pour information, veuillez communiquer à / For details, please contact: activités@crm.umontreal.ca
Organizers: | Centre de recherches mathématiques, Flore Lubin*, Henri Darmon, Chantal David |
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