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SUMMARY:Dmitrii Zhelezov (Rényi Institute)
DTSTART:20200525T160000Z
DTEND:20200525T170000Z
DTSTAMP:20260423T021156Z
UID:WAC/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WAC/1/">Sets
  inducing large additive doubling</a>\nby Dmitrii Zhelezov (Rényi Institu
 te) as part of Webinar in Additive Combinatorics\n\n\nAbstract\nRephrasing
  the celebrated Freiman lemma in additive combinatorics\, one can show tha
 t a finite set in Z^d containing a K-dimensional simplex has additive doub
 ling at least ~K. We will discuss a novel framework for studying how such 
 induced doubling can be inherited from a more general class of multi-dimen
 sional subsets. It turns out that subsets of so-called quasi-cubes induce 
 large doubling no matter the dimension of the ambient set. Time permitting
 \, we will discuss how it allows to deduce a structural theorem for sets w
 ith polynomially large additive doubling and an application to the ”few 
 products\, many sums” problem of Bourgain and Chang.\nThis is joint work
  with I.Ruzsa\, D. Matlosci\, G. Shakan and D. Palvölgyi\n
LOCATION:https://researchseminars.org/talk/WAC/1/
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