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SUMMARY:Par Kurlberg (KTH Stockholm)
DTSTART:20210203T160000Z
DTEND:20210203T170000Z
DTSTAMP:20260423T021431Z
UID:hnts/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/20/">Di
 stribution of lattice points on hyperbolic circles</a>\nby Par Kurlberg (K
 TH Stockholm) as part of Heilbronn number theory seminar\n\n\nAbstract\nWe
  study the distribution of lattice points lying on expanding circles in th
 e hyperbolic plane. The angles of lattice points arising from the orbit of
  the modular group $\\operatorname{PSL}(2\,\\mathbb Z)$\, and lying on hyp
 erbolic circles centered at $i$\, are shown to be equidistributed for gene
 ric radii (among the ones that contain points). We also show that angles f
 ail to equidistribute on a thin set of exceptional radii\, even in the pre
 sence of growing multiplicity. Surprisingly\, the distribution of angles o
 n hyperbolic circles turns out to be related to the angular distribution o
 f euclidean lattice points lying on circles in the plane\, along a thin su
 bsequence of radii. This is joint work with\nD. Chatzakos\, S. Lester and 
 I. Wigman.\n
LOCATION:https://researchseminars.org/talk/hnts/20/
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