2024 Counting arithmetic lattices and surfaces

Counting arithmetic lattices and surfaces

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August undefined, 2024

WebNov 1, 2024 · A major impetus behind this paper was to improve upon for automorphic forms of minimal type on compact arithmetic surfaces. One consequence of Theorem A is that we can now do this. ... and to certain higher rank groups. This is because our counting argument for general lattices is elementary and highly flexible, and should generalise to ... WebT1 - Counting arithmetic lattices and surfaces. AU - Belolipetsky, Mikhail. AU - Gelander, Tsachik. AU - Lubotzky, Alexander. AU - Shalev, Aner. PY - 2010. Y1 - 2010. N2 - We …

(PDF) Counting arithmetic lattices and surfaces

WebLet K be a p-adic field, and let H = PSL2(K) endowed with the Haar measure determined by giving a maximal compact subgroup measure 1. Let ALH (x) denote the number of conjugacy classes of arithmetic lattices in H with co-volume bounded by x. We show that under the assumption thatK does not contain the element ζ +ζ−1, where ζ denotes the p … Websurfaces, including thread constructions of certain quadrics and other surfaces. The chapter on regular systems of points leads to the crystallographic groups and the regular polyhedra in R 3 R3. In this chapter, they also discuss plane lattices. By considering unit lattices, and throwing in a small amount of how to watch nfl sunday night game

Counting arithmetic lattices and surfaces — Northwestern Scholars

Webabove. Assuming the conjecture, the question of counting lattices in Hboils down to counting arithmetic groups and their congruence subgroups. Serre’s conjecture is known by now for all non-uniform lattices and for \most" of the uniform ones, excluding the cases where H is of type A n, D 4 or E 6 (see [PlR, Chapt. 9]). WebCounting arithmetic lattices and surfaces By MIKHAIL BELOLIPETSKY, TSACHIK GELANDER, ALEXANDER LUBOTZKY, and ANER SHALEV Abstract We give estimates on the number ALH .x/ of conjugacy classes of arithmetic lattices of covolume at most x in a simple Lie groupH . WebJan 1, 2015 · Counting arithmetic lattices and surfaces Article Full-text available Nov 2008 ANN MATH Mikhail Belolipetsky Tsachik Gelander Alexander Lubotzky Aner Shalev We give estimates on the number... original penguin heritage fit

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WebCiteSeerX — Counting arithmetic lattices and surfaces, CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. We give estimates on the … WebNov 15, 2008 · Counting arithmetic lattices and surfaces. November 2008; Annals of Mathematics 172(3) ... COUNTING ARITHMETIC LATTICES AND SURF ACES. MIKHAIL BELOLIPETSKY, TSACHIK … original penguin herringbone hoodieWebCOUNTING ARITHMETIC LATTICES AND SURFACES 2199 other applications, for instance, it gives a linear bound on the ﬁrst Betti number of orbifolds in terms of … how to watch nfl sunday ticket 2023

"WebCounting arithmetic lattices and surfaces Pages 2197-2221 from Volume 172 (2010), Issue 3 by Mikhail Belolipetsky, Tsachik Gelander, Alexander Lubotzky, Aner Shalev Abstract We give estimates on the number AL H ( x) of conjugacy classes of arithmetic … Abstract. In this note we show that the quotient field of a domain which is … Subgroup Growth - Counting arithmetic lattices and surfaces Annals of … 20E07 - Counting arithmetic lattices and surfaces Annals of Mathematics Minimal co-volume hyperbolic lattices, I: The spherical points of a Kleinian group. … Compact moduli of K3 surfaces. by Valery Alexeev, Philip Engel. Wall crossing for … Editorial, Electronic Licensing Agreement, and Production Matters: For the … Submissions should be sent electronically and in PDF format either to the Annals … 20C30 - Counting arithmetic lattices and surfaces Annals of Mathematics Fuchsian Groups - Counting arithmetic lattices and surfaces Annals of … Articles with article keyword: counting lattices. Counting arithmetic lattices and … " - Counting arithmetic lattices and surfaces

Counting arithmetic lattices and surfaces

[PDF] Strong limit multiplicity for arithmetic hyperbolic surfaces …

WebJul 14, 2011 · Counting arithmetic subgroups, surfaces and manifolds, part 1: Lubotzky: Counting arithmetic subgroups, surfaces and manifolds, part 2: … Webthe methods of [10] (that build on those of [11]) she is able to construct examples of thin surface subgroups in any cocompact lattice contained in SL(3;R). Regarding Theorem 1.1, one can say rather more for certain lattices. In the notation established below, we construct explicit lattices in SL(3;R) that contain thin surface subgroups. (We ...

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WebNov 15, 2008 · Counting arithmetic lattices and surfaces M. Belolipetsky, T. Gelander, +1 author A. Shalev Published 15 November 2008 Mathematics arXiv: Group Theory We … WebCounting arithmetic lattices and surfaces (PDF) Counting arithmetic lattices and surfaces Alexander Lubotzky - Academia.edu Academia.edu uses cookies to …

WebThe fact that for arithmetic surfaces the arithmetic data determines the spectrum of the Laplace operator was pointed out by M. F. Vignéras [16] and used by her to construct examples of isospectral compact hyperbolic surfaces. The precise statement is as follows: If is a quaternion algebra, are maximal orders in and the associated Fuchsian groups Web[Mc67] C. McMullen. Billiards, heights and the arithmetic of non{arithmetic groups. Invent. math. 228(2024), 1309{1351. [Mc68] C. McMullen. Arbeitstagung 2003 { Billiards and Hilbert modular surfaces. Max-Planck Institut Preprint, 2003-60-e. [Mc69] C. McMullen. Arbeitstagung 2007 { Dynamics on algebraic sur-faces. Max-Planck Institut Preprint ...

WebCOUNTING ARITHMETIC LATTICES AND SURFACES MIKHAIL BELOLIPETSKY, TSACHIK GELANDER, ALEX LUBOTZKY, AND ANER SHALEV Abstract. We give … WebCiteSeerX — Counting arithmetic lattices and surfaces CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We give estimates on the number …

WebMoreover, Serre conjectured ([S]) that for all lattices Γ in such H, Γ has the con-gruence subgroup property (CSP), i.e. Ker(\G(O) → G(Ob)) is ﬁnite in the notations above. Assuming the conjecture, the question of counting lattices in H boils down to counting arithmetic groups and their congruence subgroups. A related conjecture

WebCOUNTING ARITHMETIC LATTICES AND SURFACES 2199 other applications, for instance, it gives a linear bound on the first Betti number of orbifolds in terms of their volume (cf. [FGT10] and see Remark 2.7 below and [Gel]). Another essential component in our proofs is the following. original penguin golf trousersWebcommensurability classes of arithmetic lattices giving rise to a given rational length spec-trum. It is known (see [4] pp. 415–417) that for closed hyperbolic manifolds, the spectrum of the Laplace-Beltrami operator action on L2(M), counting multiplicities, determines the set of lengths of closed geodesics on M (without counting multiplicities). how to watch nfl through verizonWebOn the geometric side, we focus on the spectrum of primitive geodesic lengths for arithmetic hyperbolic 2 – and 3–manifolds. By work of Reid and … how to watch nfl wild card gameWebNov 15, 2008 · Counting arithmetic lattices and surfaces Mikhail Belolipetsky, Tsachik Gelander, Alex Lubotzky, Aner Shalev We give estimates on the number of arithmetic … how to watch nfl ticket on directvWebAug 1, 2014 · Belolipetsky M.: Counting maximal arithmetic subgroups. With an appendix by Jordan Ellenberg and Akshay Venkatesh. Duke Mathematical Journal 1(140), 1–33 … how to watch nfl ticket on firestickWebMPI Arbeitstagung 2007 - Dynamics on algebraic surfaces Trees and the dynamics of polynomials Thermodynamics, dimension and the Weil-Petersson metric Dynamics on blowups of the projective plane Prym varieties and Teichmüller curves Foliations of Hilbert modular surfaces Minkowski's conjecture, well-rounded lattices and topological dimension how to watch nfl without directvWebDec 16, 2016 · We prove that cocompact arithmetic lattices in a simple Lie group are uniformly discrete if and only if the Salem numbers are uniformly bounded away from 1. We also prove an analogous… Expand PDF A VIEW ON INVARIANT RANDOM SUBGROUPS AND LATTICES T. Gelander Mathematics Proceedings of the International Congress of … how to watch nfl with no cbs