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SUMMARY:Daniel Palacin - On sums of infinite sets
DTSTART:20260115T140000Z
DTEND:20260115T150000Z
DTSTAMP:20260313T022000Z
UID:indico-event-15891@indico.math.cnrs.fr
DESCRIPTION:In 2019\, Moreira\, Richter and Robertson showed that every su
 bset A of the natural numbers with positive density contains a set of the 
 form B+C for some infinite subsets B and C of natural numbers\, settling a
  longstanding conjecture of Erdős. This result was later extended to high
 er order sumsets B_1+...+B_k (for a fixed k) by the same authors in collab
 oration with Kra.\n \nKra et al. asked whether the same is true for count
 able abelian groups\, and proposed as well several variants of the problem
 . In this talk I will present a model-theoretic proof that addresses this 
 question for a class of definably amenable groups that includes all counta
 ble amenable groups. This is joint work with Amador Martin-Pizarro.\n\nhtt
 ps://indico.math.cnrs.fr/event/15891/
LOCATION:Salle 112 (ICJ)
URL:https://indico.math.cnrs.fr/event/15891/
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