On the equidistribution of hecke points

WebVol.17, 2007 EQUIDISTRIBUTION OF MATRICES 5 On the organization of the paper. Given x0 ∈ X and a closed sub-group H of G such that x0H has a finite volume, we introduce in sec-tion 2 the multiplicities of Hecke points and the weighted Hecke operators T a = T H a. In section 3, we give an analogous definition for local p multi- Web6. Equidistribution of partial Hecke orbits 53 7. Equidistribution of CM points along a p-adic discriminant 63 Appendix A. Quadratic extensions of Qp and p-adic discriminants 74 References 77 1. Introduction For every prime number p, in this paper we give a complete description of the asymptotic distribution of CM points on the moduli space of ...

arXiv:1803.04946v3 [math.NT] 29 Mar 2024

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. Web8 de fev. de 2024 · In this paper we characterize all the sequences of discriminants for … how many shares does target have https://inkyoriginals.com

nt.number theory - Hecke equidistribution - MathOverflow

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],... WebEQUIDISTRIBUTION OF HECKE POINTS ON THE SUPERSINGULAR MODULE RICARDO MENARES Abstract. For a fixed prime p, we consider the (finite) set of supersingular elliptic curves over F p. Hecke operators act on this set. We compute the asymptotic frequence with which a given supersingular elliptic curve visits another under … Web12 de mar. de 2024 · We prove that the homology classes of closed geodesics associated to subgroups of narrow class groups of real quadratic fields concentrate around the Eisenstein line. This fits into the framework of Duke's Theorem and can be seen as a real quadratic analogue of results of Michel and Liu--Masri--Young on supersingular reduction of CM … how many shares does microsoft have

Equidistribution of Hecke points and $p = (a+bi)(a-bi)

Category:Equidistribution of Hodge loci II Compositio Mathematica

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On the equidistribution of hecke points

Equidistribution in Number Theory, An Introduction (eBook, PDF)

Web1 de nov. de 2007 · Given the orthonormal basis of Hecke eigenforms in S 2k (Γ ), one … Web17 de nov. de 2012 · Let x 0 be an irrational point on the torus {\mathbb {T}^2}. We toss a 0 or a 1, apply it to x 0, get another irrational point x 1, do it again to x 1, get a point x 2, and again. This random trajectory is equidistributed on the torus. This phenomenon is quite general on any finite volume homogeneous space. Download to read the full article text.

On the equidistribution of hecke points

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WebInternational Congress of Mathematicians掌桥科研已收录International Congress of Mathematicians会议文集并提供会议论文文献原文传递服务。 Web13 de dez. de 2005 · We prove the equidistribution of Hecke points for any connected …

WebThe main novel contribution is a method to exclude intermediate measures for toral … Web13 de jan. de 2003 · On the equidistribution of Hecke points. Goldstein, Daniel; Mayer, …

Web6 de mar. de 2013 · [Submitted on 6 Mar 2013] Equidistribution of Hecke points on the … 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.

Web12 de out. de 2024 · Joint Equidistribution of CM Points. We prove the mixing …

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 how many shares does verizon haveWeb13 de jan. de 2003 · TLDR. This article tries to model the average case of lattice reduction algorithms, starting with the celebrated Lenstra-Lenstra-Lovasz algorithm (L3), and discusses what is meant by lattice Reduction on the average, and presents extensive … how many shares does mukesh ambani havehow did jazz music impact the 1920sWeb27 de set. de 2004 · (Submitted on 27 Sep 2004) Abstract:We use the theory of unipotent … how did jean martin charcot discover alsWebThe main tool in the proof of Theorem 1.4 is the use of Hecke operators. The relation of Hecke operators to Linnik’s problem was first observed by Sarnak in [Sa]. Our starting point is then an equidistribution result for Hecke points in ZΓ\Gwhere Zis the connected center of Gand Γ is a congruence subgroup of G. This result was how did jazz influence hip hopWebemphasize the analogy with the fact that Hecke orbits are equidistributed on the modular … how did jazz reflect the issues of the 1920sWebp-ADIC DISTRIBUTION OF CM POINTS AND HECKE ORBITS. II: LINNIK … how did jcb start