BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251108T105021EST-92472SF393@132.216.98.100 DTSTAMP:20251108T155021Z DESCRIPTION:Seminar Québec-Vermont Number Theory\n\nTitle: Breaking the log arithmic barrier in Roth's theorem\n\nAbstract:We present an improvement t o Roth's theorem on arithmetic progressions\, implying the first non-trivi al 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\nWeb site : http:// www.dms.umontreal.ca/~qvnts/QVNTSinfo.html\n\nEn ligne/Web - Pour informat ion\, veuillez communiquer à/For details\, please contact: martinez [at] c rm.umontreal.ca\n DTSTART:20210218T143000Z DTEND:20210218T153000Z SUMMARY:Olof Sisask (Stockholm University) URL:/mathstat/channels/event/olof-sisask-stockholm-uni versity-328388 END:VEVENT END:VCALENDAR