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SUMMARY:Itay Londner (UBC)
DTSTART:20210503T170000Z
DTEND:20210503T180000Z
DTSTAMP:20260423T005649Z
UID:OARS/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/24/">Ti
 ling the integers with translates of one tile: the Coven-Meyerowitz tiling
  conditions for three prime factors</a>\nby Itay Londner (UBC) as part of 
 OARS Online Analysis Research Seminar\n\n\nAbstract\nIt is well known that
  if a finite set of integers A tiles the integers by translations\, then t
 he translation set must be periodic\, so that the tiling is equivalent to 
 a factorization A+B=Z_M of a finite cyclic group. Coven and Meyerowitz (19
 98) proved that when the tiling period M has at most two distinct prime fa
 ctors\, each of the sets A and B can be replaced by a highly ordered "stan
 dard" tiling complement. It is not known whether this behavior persists fo
 r all tilings with no restrictions on the number of prime factors of M.\n\
 nIn an ongoing collaboration with Izabella Laba\, we proved that this is t
 rue when M=(pqr)^2. In my talk I will discuss this problem and introduce t
 he main ingredients in the proof.\n
LOCATION:https://researchseminars.org/talk/OARS/24/
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