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SUMMARY:The Erdos sumset conjecture and its generalizations
DTSTART:20220621T171500
DTEND:20220621T183000
DTSTAMP:20260407T042146Z
UID:fe816dea1d65580afdff6ba5bf1647e7e647b545ae5ec6752adb621b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Bryna Kra (Northwestern University)\nA striking example 
 of the interactions between additive combinatorics and ergodic theory is 
  Szemeredi’s Theorem that a set of integers with positive upper density 
 contains arbitrarily long arithmetic progressions.  Soon thereafter\, Fur
 stenberg used Ergodic Theory to gave a new proof of this result\, leading 
 to the development of combinatorial ergodic theory.  These tools have led
  to uncovering new patterns that must occur in sufficiently large sets of 
 integers and an understanding of what types of structures control these be
 haviors.  Only recently have we been able to extend these methods to infi
 nite patterns\, and in recent work we show that any set of integers with p
 ositive upper density contains a k-fold sumset. This is joint work with Jo
 el Moreira\, Florian Richter\, and Donald Robertson.
LOCATION:CM 1 4 https://plan.epfl.ch/?room==CM%201%204
STATUS:CONFIRMED
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