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SUMMARY:Higher-rank Bohr sets and multiplicative diophantine approximation
  - Niclas Technau\, University of York
DTSTART:20181128T134500Z
DTEND:20181128T144500Z
UID:TALK114064@talks.cam.ac.uk
CONTACT:Aled Walker
DESCRIPTION:Gallagher's theorem is a sharpening and extension of the Littl
 ewood conjecture that holds for almost all tuples of real numbers. This ta
 lk is about joint work with Sam Chow where we provide a fibre refinement\,
  solving a problem posed by Beresnevich\, Haynes and Velani in 2015. Hithe
 rto\, this was only known on the plane\, as previous approaches relied hea
 vily on the theory of continued fractions.  Using reduced successive minim
 a in lieu of continued fractions\, we develop the structural theory of Boh
 r sets of arbitrary rank\, in the context of diophantine approximation.
LOCATION:MR5\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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