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SUMMARY:Gaétan Guillot (Université Paris-Saclay)
DTSTART:20240521T120000Z
DTEND:20240521T130000Z
DTSTAMP:20260423T053132Z
UID:OWNS/132
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/132/">A
 pproximation of linear subspaces by rational linear subspaces</a>\nby Gaé
 tan Guillot (Université Paris-Saclay) as part of One World Numeration sem
 inar\n\n\nAbstract\nWe elaborate on a problem raised by Schmidt in 1967: r
 ational approximation of linear subspaces of $\\mathbb{R}^n$. In order to 
 study the quality approximation of irrational numbers by rational ones\, o
 ne can introduce the exponent of irrationality of a number. We can then ge
 neralize this notion in the framework of vector subspaces for the approxim
 ation of a subspace by so-called rational subspaces.\n\nAfter briefly intr
 oducing the tools for constructing this generalization\, I will present th
 e different possible studies of this object. Finally I will explain how we
  can construct spaces with prescribed exponents.\n
LOCATION:https://researchseminars.org/talk/OWNS/132/
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