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SUMMARY:Noah Kravitz (Oxford University)
DTSTART:20261015T190000Z
DTEND:20261015T200000Z
DTSTAMP:20261018T013049Z
UID:NYNTS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYNTS/6/">In
 equalities among sums of dilates</a>\nby Noah Kravitz (Oxford University) 
 as part of New York Number Theory Seminar\n\n\nAbstract\nLet $c \\cdot A$ 
 denote the dilate of the set $A$ by the scalar $c$.  For which choices of 
 complex numbers $\\lambda_1\, \\ldots\, \\lambda_\\ell\, \\mu_1\, \\ldots\
 , \\mu_m$ does the inequality\n$$|\\lambda_1 \\cdot A+\\cdots+\\lambda_\\e
 ll \\cdot A| \\leq |\\mu_1 \\cdot A+\\cdots+\\mu_m \\cdot A|$$\nhold for a
 ll finite sets $A \\subseteq \\mathbb{C}$?  This question captures a vast 
 generalization of the more-sums-than-differences sets phenomenon.  We will
  discuss recent progress\, with a particular focus on the setting where th
 e dilates are integers.\n
LOCATION:https://researchseminars.org/talk/NYNTS/6/
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