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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20241021T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20241021T153000
URL:https://uwaterloo.ca/pure-mathematics/events/pure-math-department-collo
 quium-1
SUMMARY:Pure Math Department Colloquium
CLASS:PUBLIC
DESCRIPTION:ANAND PILLAY\, UNIVERSITY OF NOTRE DAME\n\n_Quasirandomness of 
 definable subsets of algebraic groups over finite\nfields_\n\nWe give an a
 rithmetic version of Tao’s algebraic regularity lemma\n(which was itself
  an improved Szemerédi regularity lemma for graphs\nuniformly definable i
 n finite fields). In the arithmetic regime the\nobjects of study are pairs
  (G\,D) where G is a group and D an arbitrary\nsubset. We obtain optimal r
 esults\, namely that the algebraic\nregularity lemma holds for the associa
 ted bipartite graph (G\,G\,E)\nwhere E(x\,y) is xy−1 ∈ D\, witnessed b
 y a the decomposition of G\ninto cosets of a (uniformly definable) small i
 ndex normal subgroup H\nof G. We compare to results of Green and Gowers. (
 This is joint work\nwith Atticus Stonestrom.)\n\nMC 5501
DTSTAMP:20260504T161317Z
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