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SUMMARY:Anthony Poels (Nihon University/Paris-Saclay & ENS Lyon)
DTSTART:20210202T080000Z
DTEND:20210202T083000Z
DTSTAMP:20260423T010808Z
UID:JENTE/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JENTE/29/">R
 ational approximation to real points on quadratic hypersurfaces</a>\nby An
 thony Poels (Nihon University/Paris-Saclay & ENS Lyon) as part of Japan Eu
 rope Number Theory Exchange Seminar\n\n\nAbstract\nTo each point of R^n we
  attach an exponent of approximation which quantifies "how well" we can ap
 proximate this point by rational points with same denominator. A fundament
 al question in Diophantine approximation is to determine the supremum of t
 his exponent  on given subsets of R^n. In a joint work with Roy\, we recen
 tly answered this question for quadratic hypersurfaces Z of R^n defined ov
 er Q:  the optimal exponent depends only on the Witt index (over Q) of the
  quadratic form defining Z. In dimension n = 2\, we recover results of Roy
  while in higher dimension this completes recent work of Kleinbock and Mos
 hchevitin.\n
LOCATION:https://researchseminars.org/talk/JENTE/29/
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