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SUMMARY:A stable arithmetic regularity lemma in finite abelian groups - Ca
 roline Terry (University of Chicago)
DTSTART:20190214T143000Z
DTEND:20190214T153000Z
UID:TALK117043@talks.cam.ac.uk
CONTACT:Andrew Thomason
DESCRIPTION:Abstract: The arithmetic regularity lemma for Fpn (first prove
 d by Green in 2005) states that given $A\\subseteq \\F_pn$\, there exists 
 $H\\leq\n\\F_pn$ of bounded index such that $A$ is Fourier-uniform with re
 spect to almost all cosets of $H$. In general\, the growth of the index of
  $H$ is required to be of tower type depending on the degree of uniformity
 \, and must also allow for a small number of non-uniform elements.  Previo
 usly\, in joint work with Wolf\, we showed that under a natural model theo
 retic assumption\, called stability\, the bad bounds and non-uniform eleme
 nts are not necessary.  In this talk\, we present results extending this w
 ork to stable subsets of arbitrary finite abelian\ngroups.  This is joint 
 work with Julia Wolf.\n
LOCATION:MR12
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