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CATEGORIES:Combinatorics Seminar
SUMMARY:A stable arithmetic regularity lemma in finite abe
lian groups - Caroline Terry (University of Chicag
o)
DTSTART;TZID=Europe/London:20190214T143000
DTEND;TZID=Europe/London:20190214T153000
UID:TALK117043AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/117043
DESCRIPTION:Abstract: The arithmetic regularity lemma for Fpn
(first proved by Green in 2005) states that given
$A\\subseteq \\F_pn$\, there exists $H\\leq\n\\F_p
n$ of bounded index such that $A$ is Fourier-unifo
rm with respect to almost all cosets of $H$. In ge
neral\, the growth of the index of $H$ is required
to be of tower type depending on the degree of un
iformity\, and must also allow for a small number
of non-uniform elements. Previously\, in joint wo
rk with Wolf\, we showed that under a natural mode
l theoretic assumption\, called stability\, the ba
d bounds and non-uniform elements are not necessar
y. In this talk\, we present results extending th
is work to stable subsets of arbitrary finite abel
ian\ngroups. This is joint work with Julia Wolf.\
n
LOCATION:MR12
CONTACT:Andrew Thomason
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