Skip to main content

Pär Kurlberg: Distribution of lattice points on hyperbolic circles

Time: Wed 2020-12-16 13.15 - 14.15

Lecturer: Pär Kurlberg

Location: Zoom, meeting ID: 685 0671 8075


We study the distribution of lattice points lying on expanding circles in the hyperbolic plane. The angles of lattice points arising from the orbit of the modular group PSL(2,Z), and lying on hyperbolic circles centered at i, are shown to be equidistributed for generic radii (among the ones that contain points). We also show that angles fail to equidistribute on a thin set of exceptional radii, even in the presence of growing multiplicity. Surprisingly, the distribution of angles on hyperbolic circles turns out to be related to the angular distribution of euclidean lattice points lying on circles in the plane, along a thin subsequence of radii. This is joint work with D. Chatzakos, S. Lester and I. Wigman.

Zoom Notes

The password will be sent out in the AG and NT mailing lists. Please email Wushi Goldring ( wgoldring "at" math "dot" su "dot" se ) if you want to attend but are not on the mailing lists, or are having trouble logging in.

Please wait in the waiting room and one of the hosts will let you in.

Belongs to: Department of Mathematics
Last changed: Dec 11, 2020