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SUMMARY:Demi Allen (University of Exeter)
DTSTART:20230321T130000Z
DTEND:20230321T140000Z
DTSTAMP:20260423T035957Z
UID:OWNS/109
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/109/">D
 iophantine Approximation for systems of linear forms - some comments on in
 homogeneity\, monotonicity\, and primitivity</a>\nby Demi Allen (Universit
 y of Exeter) as part of One World Numeration seminar\n\n\nAbstract\nDiopha
 ntine Approximation is a branch of Number Theory in which the central them
 e is understanding how well real numbers can be approximated by rationals.
  In the most classical setting\, a $\\psi$-well-approximable number is one
  which can be approximated by rationals to a given degree of accuracy spec
 ified by an approximating function $\\psi$. Khintchine's Theorem provides 
 a beautiful characterisation of the Lebesgue measure of the set of $\\psi$
 -well-approximable numbers and is one of the cornerstone results of Diopha
 ntine Approximation. In this talk I will discuss the generalisation of Khi
 ntchine's Theorem to the setting of approximation for systems of linear fo
 rms. I will focus mainly on the topic of inhomogeneous approximation for s
 ystems of linear forms. Time permitting\, I may also discuss approximation
  for systems of linear forms subject to certain primitivity constraints. T
 his talk will be based on joint work with Felipe Ramirez (Wesleyan\, US).\
 n
LOCATION:https://researchseminars.org/talk/OWNS/109/
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