Counting arithmetic lattices and surfaces
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 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 …
Counting arithmetic lattices and surfaces
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WebNov 15, 2008 · Counting arithmetic lattices and surfaces Mikhail Belolipetsky, Tsachik Gelander, Alex Lubotzky, Aner Shalev We give estimates on the number of arithmetic … Webcommensurability 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).
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]). WebOn the geometric side, we focus on the spectrum of primitive geodesic lengths for arithmetic hyperbolic 2 – and 3–manifolds. By work of Reid and …
WebT1 - Counting arithmetic lattices and surfaces. AU - Belolipetsky, Mikhail. AU - Gelander, Tsachik. AU - Lubotzky, Alexander. AU - Shalev, Aner. PY - 2010. Y1 - 2010. N2 - We … 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
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...
WebCounting arithmetic lattices and surfaces (PDF) Counting arithmetic lattices and surfaces Alexander Lubotzky - Academia.edu Academia.edu uses cookies to … black lab breed infoWebMPI 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 black lab breeders in ontarioWebCOUNTING ARITHMETIC LATTICES AND SURFACES 2199 other applications, for instance, it gives a linear bound on the first Betti number of orbifolds in terms of … ganesh symbolism meaningWebInstead of taking integral points in the definition of an arithmetic lattice one can take points which are only integral away from a finite number of primes. This leads to the notion of an -arithmetic lattice (where stands for the set of primes inverted). The prototypical example is . ganesh symbol text copy pasteWebNov 15, 2008 · Counting arithmetic lattices and surfaces. November 2008; Annals of Mathematics 172(3) ... COUNTING ARITHMETIC LATTICES AND SURF ACES. MIKHAIL BELOLIPETSKY, TSACHIK … black lab breeders ctWebCiteSeerX — Counting arithmetic lattices and surfaces, CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. We give estimates on the … black lab breeders in ncWebJul 14, 2011 · Counting arithmetic subgroups, surfaces and manifolds, part 1: Lubotzky: Counting arithmetic subgroups, surfaces and manifolds, part 2: … black lab brewery portland