WebInstead 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 . WebThe fundamental result when studying lattices is the following: [15] A lattice in a locally compact group has property (T) if and only if the group itself has property (T). Using harmonic analysis it is possible to classify semisimple Lie groups according to whether or not they have the property.
CiteSeerX — Counting arithmetic lattices and surfaces
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 ... 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 speed of cyclone yaas
Counting arithmetic lattices and surfaces - academia.edu
WebMPI 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 WebCounting arithmetic lattices and surfaces (2010) by M Belolipetsky, T Gelander, A Lubotzky, A Shalev Venue: Ann. of Math: Add To MetaCart. Tools. Sorted by: Results 11 - 11 of 11. COUNTING AND EFFECTIVE RIGIDITY IN ALGEBRA AND GEOMETRY by Benjamin Linowitz, D. B. Mcreynolds, Paul Pollack, Lola Thompson ... WebCiteSeerX — Counting arithmetic lattices and surfaces, CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. We give estimates on the … speed of displacement hull