Rational points on homogeneous varieties and equidistribution of adelic periods (with appendix by Mikhail Borovoi)

DOI10.1007/s00039-011-0113-zzbMath1317.11069arXiv0803.1996OpenAlexW2081337373MaRDI QIDQ540010

Alexander Gorodnik, Hee Oh

Publication date: 1 June 2011

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1996

zbMATH Keywords

symmetric spacesManin's conjectureergodic measureswonderful varietiesunipotent flowsadelic mixingadelic points

Mathematics Subject Classification ID

Related Items (16)

Distribution of rational points of bounded height on equivariant compactifications of \(\mathrm{PGL}_2\). I ⋮ Multiple mixing for adele groups and rational points ⋮ Effective equidistribution of \(S\)-integral points on symmetric varieties ⋮ Equidistribution of expanding translates of curves and Diophantine approximation on matrices ⋮ The space of homogeneous probability measures on \(\overline{\Gamma \backslash X}^S_{\max}\) is compact (with an appendix by Jialun Li) ⋮ Linnik's problem in fiber bundles over quadratic homogeneous varieties ⋮ Finitary analysis in homogeneous spaces ⋮ The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one ⋮ Rational points on certain homogeneous varieties ⋮ Distribution of shapes of orthogonal lattices ⋮ Counting orbits of integral points in families of affine homogeneous varieties and diagonal flows ⋮ Geometric results on linear actions of reductive Lie groups for applications to homogeneous dynamics ⋮ Integer points on spheres and their orthogonal grids ⋮ Effective equidistribution and property (𝜏) ⋮ Translates of homogeneous measures associated with observable subgroups on some homogeneous spaces ⋮ Campana points on biequivariant compactifications of the Heisenberg group

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