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SUMMARY:Jing-Jing Huang (University of Nevada\, Reno)
DTSTART:20200605T183000Z
DTEND:20200605T185500Z
DTSTAMP:20260423T011321Z
UID:CANT2020/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2020/66/
 ">Diophantine approximation on affine subspaces</a>\nby Jing-Jing Huang (U
 niversity of Nevada\, Reno) as part of Combinatorial and additive number t
 heory (CANT 2021)\n\n\nAbstract\nWe extend the classical theorem of Khintc
 hine on metric diophantine approximation to affine \nsubspaces of $\\mathb
 f{R}^n$. In order to achieve this it is necessary to impose some condition
  on the \ndiophantine exponent of the matrix defining the affine subspace.
   Our result actually concerns the more \ngeneral Hausdorff measure\, whic
 h is known as the generalized Baker-Schmidt problem. \nWe solve this probl
 em by establishing optimal estimates for the number of rational points\nly
 ing close to the affine subspace.\n
LOCATION:https://researchseminars.org/talk/CANT2020/66/
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