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CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20230123T101705Z
DTSTART:20230131T150000Z
DTEND:20230131T160000Z
SUMMARY:Manchester Number Theory Seminar - Ben Ward
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}ju7-ld8nmgn
 6-geh5aw
DESCRIPTION:Speaker: Ben Ward (University of York)\n\nTitle: \\psi-badly 
 approximable points\n\nAbstract: In this talk I will discuss recent work
  with Henna Koivusalo\, Jason Levesley\, and Xintian Zhang on the set of
  \\psi-badly approximable points. \\psi-badly approximable points are th
 ose which are \\psi-well approximable\, but at the same time not c\\psi-
 well approximable for arbitrary small constant c>0. In 2003\, Bugeaud pr
 oved in the one dimensional setting that the Hausdorff dimension of \\ps
 i-badly approximable points is the same as the Hausdorff dimension of \\
 psi-well approximable points. Our main result provides an n-dimensional 
 analogue of Bugeaud's result. In order to do this we construct a Cantor 
 set that simultaneously captures the well approximable and badly approxi
 mable nature of \\psi-badly approximable points.\n\nRoom: Frank Adams 1
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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