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SUMMARY:Giancarlo Travaglini (University of Milano-Bicocca)
DTSTART:20221116T170000Z
DTEND:20221116T180000Z
DTSTAMP:20260423T052641Z
UID:HAeS/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HAeS/38/">Ir
 regularities of distribution</a>\nby Giancarlo Travaglini (University of M
 ilano-Bicocca) as part of Harmonic analysis e-seminars\n\n\nAbstract\nThe 
 term “Irregularities of distribution” appeared for the first time in t
 he title of 1954 K. Roth’s seminal paper and referred to a conjecture of
  J. van der Corput on the non-existence of a  “good” way to choose an 
 infinite sequence in the unit interval. Roth approached van der Corput’s
  conjecture by checking the quality of any choice of N points in the 2-dim
 ensional torus with respect to arbitrary squares therein\, and proving a l
 ogarithmic lower bound for the discrepancy. Later W. Schmidt\, H. Montgome
 ry and J. Beck independently proved that the discrepancy is at least a pow
 er of N when squares are replaced with disks. \n\nWe construct a family of
  intermediate cases and we show that positive curvature plays no role in t
 his problem which reduces to a careful study of the decay of certain Fouri
 er transforms.\n\nWe shall also describe two related d-dimensional problem
 s. \n\n(from joint works with Luca Brandolini and Leonardo Colzani)\n
LOCATION:https://researchseminars.org/talk/HAeS/38/
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