BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Dmitrii Zhelezov (Rényi Institute) DTSTART:20200525T160000Z DTEND:20200525T170000Z DTSTAMP:20260404T164941Z UID:WAC/1 DESCRIPTION:Title: Sets inducing large additive doubling\nby Dmitrii Zhelezov (Rényi Institute) as part of Webinar in Additive Combinatorics\n\n\nAbstract\nRep hrasing the celebrated Freiman lemma in additive combinatorics\, one can s how that a finite set in Z^d containing a K-dimensional simplex has additi ve doubling at least ~K. We will discuss a novel framework for studying ho w such induced doubling can be inherited from a more general class of mult i-dimensional subsets. It turns out that subsets of so-called quasi-cubes induce large doubling no matter the dimension of the ambient set. Time per mitting\, we will discuss how it allows to deduce a structural theorem for sets with polynomially large additive doubling and an application to the ”few products\, many sums” problem of Bourgain and Chang.\nThis is joi nt work with I.Ruzsa\, D. Matlosci\, G. Shakan and D. Palvölgyi\n LOCATION:https://stable.researchseminars.org/talk/WAC/1/ END:VEVENT END:VCALENDAR