On the equidistribution of hecke points
Web17 de nov. de 2006 · As a corollary, we generalize the equidistribution result of Hecke points ( [COU], [EO1]) to homogeneous spaces G / H. As a concrete application, we describe the equidistribution result in the rational matrices with a given characteristic polynomial. Download to read the full article text Author information Hee Oh WebClozel, L., Oh, H. & Ullmo, E. Hecke operators and equidistribution of Hecke points. …
On the equidistribution of hecke points
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Web18 de nov. de 2000 · Hecke Operators and Equidistribution of Hecke Points Authors: Laurent Clozel Hee Oh Emmanuel Ullmo Université Paris-Sud 11 Abstract a are commensurable with each other and j n a j = [ : a 1 a],... Web6 de mar. de 2013 · Equidistribution of Hecke points on the supersingular module Ricardo Menares For a fixed prime p, we consider the (finite) set of supersingular elliptic curves over . Hecke operators act on this set. We compute the asymptotic frequence with which a given supersingular elliptic curve visits another under this action. Submission …
WebThe Lindelöf hypothesis for such series was originally conjectured by Hoffstein. In the course of the proof, one must treat a bilinear form in Salié sums. It turns out that such a bilinear form also has several arithmetic applications to equidistribution. These are a series of joint works with Zaharescu and Shparlinski-Zaharescu. Web28 de mar. de 2024 · Joint equidistribution of CM points. Event details. Date: 28.03.2024 – 16:15 › 17:15 : Speaker: Ilya Khayutin (Princeton) Location: ... As a result the obstacle to proving equidistribution is the potential concentration of mass on graphs of Hecke correspondences and translates thereof.
Webintersection of any finite-rank subgroup of A with the set of points on A corresponding to an isogeny class on S is finite. The question was proposed by A. Buium and B. Poonen in 2009. We follow the strategy proposed by the authors, using a result about the equidistribution of Hecke points on Shimura varieties and Serre’s open image theorem. Web3. Equidistribution of intersection points 15 4. The pull-push form 19 5. Inarianvt forms on period domains 24 6. Applications 35 References 48 1. Introduction Let Gbe a semi-simple Lie group and let Γ ⊂Gbe a lattice. Homogeneous dynamics is traditionally interested in the equidistribution properties of the orbits of a Lie subgroup
Web18 de nov. de 2000 · The equidistribution of periodic orbits of semisimple groups is also closely connected to the equidistribution of Hecke points; a quantitative treatment of such equidistribution was …
Web9 de nov. de 2015 · We confirm a conjecture of Marklof regarding the limiting distribution … chilli cove whangamataWebHecke equidistribution. For a prime p ≡ 1 ( mod 4), we can write p = a 2 + b 2 = N ( a + b i). Therefore. where φ ∈ [ 0, 2 π]. I know that Hecke proved that φ is equidistributed. I am looking for a reference for this nice result. I would be thankful if one can give me a reference. grace killelea year of no fearWebIn this paper, we are interested in the equidistribution problem of the Hecke points \a as … grace kim ford harrisonWeb1 de ago. de 2012 · Equidistribution in supersingular Hecke orbits A. Kret Mathematics … grace kim ted talk cohousingWeb6 de mar. de 2013 · [Submitted on 6 Mar 2013] Equidistribution of Hecke points on the … chilli cottage paisley road westWeb9 de nov. de 2015 · Eskin, A. and Oh, H., Ergodic theoretic proof of equidistribution of Hecke points, Ergodic Theory Dynam. Systems 26 ( 1) ( 2006 ), 163 – 167; MR 2202442 (2006j:11068). CrossRef Google Scholar [Gla03] chilli cottage bourton on the waterWebEffective equidistribution of horocycle lifts We give a rate in the problem of equidistribution of lifted horocycles in the space of unimodular two-dimensional lattice translates. The ineffective version is due to Elkies and … grace kingdom builders