scientific article; zbMATH DE number 3297205
From MaRDI portal
zbMath0186.33202MaRDI QIDQ5580322
Publication date: 1969
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Discrete subgroups of Lie groups (22E40) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups (22-01)
Related Items
Geometry of compactifications of locally symmetric spaces, Hecke-Maass cusp forms on \(\operatorname{PGL}_n\) of large levels with non-vanishing \(L\)-values, Diophantine approximation in number fields and geometry of products of symmetric spaces, Determinacy and unipotency, On the Picard group of the moduli space for K-3 surfaces, On the congruence subgroup problem. II, The dimensions of spaces of Siegel cusp forms of general degree, Correspondence of modular forms to cycles associated to \(Sp(p,q)\), Orbits of horospherical flows, Spectral square means for period integrals of wave functions on real hyperbolic spaces, The hyperbolic Ax-Lindemann-Weierstraß conjecture, Representation varieties of arithmetic groups and polynomial periodicity of Betti numbers, Heights of pre-special points of Shimura varieties, Varieties of nilpotent Lie algebras of dimension less than six, Archimedean superrigidity of solvable \(S\)-arithmetic groups, Propriétés de contraction d'un semi-groupe de matrices inversibles. Coefficients de Liapunoff d'un produit de matrices aléatoires indépendantes. (Contraction properties of a semigoup of invertible matrices. Lyapunov coefficient of a product of independent random matrices), Non-arithmetic groups in Lobachevsky spaces, Fourier-Jacobi expansion of automorphic forms on \(\text{Sp}(1,q)\) generating quaternionic discrete series, A note on subgroups of cofinite volume, Limit multiplicities of cusp forms, On a relative version of a theorem of Bogomolov over perfect fields and its applications, Die maximalen arithmetisch definierten Untergruppen zerfallender einfacher Gruppen, Moduli of log mixed Hodge structures, On the topology of relative orbits for actions of algebraic groups over complete fields, Rational approximation on spheres, Variation of Hodge structure: The singularities of the period mapping, Hecke operators and \({\mathbb Q}\)-groups associated to self-adjoint homogeneous cones., Some 3-manifolds arising from \(PSL_2(\mathbb{Z} [i)\)], A note on link complements and arithmetic groups, Holomorphic torsion and closed geodesics, Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety, Orbits of Euclidean frames under discrete linear groups, A nonvanishing theorem for the cuspidal cohomology of \(SL_ 2\) over imaginary quadratic integers, Proper actions and pseudo-Riemannian space forms, Holomorphic Siegel modular forms associated to \(SO(n,1)\), On the structure of the Steinberg group st(Lambda), Finite generation properties of cohomology rings for infinite groups., Reconstruction and finiteness results for Fourier-Mukai partners, Constructive implicit function theorems, Simplicial volume of \(\mathbb Q\)-rank one locally symmetric spaces covered by the product of \(\mathbb R\)-rank one symmetric spaces, The arithmetic theory of loop groups, Uniformly distributed orbits of certain flows on homogeneous spaces, On the rapid decay of cuspidal automorphic forms, The analytic torsion and its asymptotic behaviour for sequences of hyperbolic manifolds of finite volume, Automorphic Green functions associated with the secondary spherical functions, The first cohomology group of leaves and local stability of compact foliations, Theta lifting from elliptic cusp forms to automorphic forms on \(\mathrm{Sp}(1, q)\), Compactifications defined by arrangements. II: Locally symmetric varieties of type IV, On a theorem of Osborne and Warner. Multiplicities in the cuspidal spectrum, Rational forms of exceptional dual pairs, Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces, Counting orbits of integral points in families of affine homogeneous varieties and diagonal flows, Galois orbits and equidistribution of special subvarieties: towards the André-Oort conjecture, The André-Oort conjecture, Dimension rigidity of lattices in semisimple Lie groups, Comparison of volumes of Siegel sets and fundamental domains for \(\mathrm {SL}_n ({\mathbb {Z}})\), On \(\ell\)-adic sheaves on Shimura varieties and their higher direct images in the Baily-Borel compactification, Cohomology of arithmetic groups and periods of automorphic forms, The distortion dimension of \(\mathbb Q\)-rank 1 lattices, On periodicity of geodesic continued fractions, Geometry of quotient spaces of SO(3)\(\backslash\) SL(3,\(\mathbb{R}\)) by congruence subgroups, Classifying spaces of degenerating mixed Hodge structures. II: Spaces of \(\text{SL}(2)\)-orbits, The congruence subgroup problem., A nonhomogeneous orbit closure of a diagonal subgroup, From the hyperbolic 24-cell to the cuboctahedron, Lie groups and homogeneous spaces, Localization and invariant theory, On the congruence subgroup problem, Limit formulas of period integrals for a certain symmetric pair. II, The periodic Lorentz gas in the Boltzmann-Grad limit: asymptotic estimates, Characters, asymptotic and n-homology of Harish-Chandra modules, Geometric construction of cohomology for arithmetic groups. I, Computation of Weng's rank 2 zeta function over an algebraic number field, Affine homogeneous spaces and finite subgroups of arithmetic groups over function fields, Values of decomposable forms at \(S\)-integral points and orbits of tori on homogeneous spaces, Isomorphism theory for orthogonal groups over arbitrary integral domains, Über maximale arithmetisch definierte Gruppen, Arithmetisch definierte Gruppen mit Galoisoperation, \(L^{2}\)-invariants of nonuniform lattices in semisimple Lie groups, Homological and Bloch invariants for \(\mathbb Q\)-rank one spaces and flag structures, A prime geodesic theorem for higher rank. II: Singular geodesics, On affine algebraic homogeneous spaces, The arithmetic theory of loop groups. II: The Hilbert-modular case, Constructing algebraic groups from their Lie algebras., Quasi-isometries of rank one \(S\)-arithmetic lattices, Poincaré's stated motivations for topology, L//2 cohomology of warped products and arithmetic groups, Arithmeticity of discrete subgroups containing horospherical lattices, The mod p cohomology ring of \(GL_ 3(F_ p)\), Small-dimensional classifying spaces for arithmetic subgroups of general linear groups, On the existence of irreducible lattices, The smoothing components of a triangle singularity. II, On ergodic quasi-invariant measures of group automorphism, On the first Betti number of a hyperbolic manifold with an arithmetic fundamental group, Projective varieties with non-residually finite fundamental group, On the proportionality of covolumes of discrete subgroups, Asymptotic behaviour of trajectories of unipotent flows on homogeneous spaces, Lefschetz numbers and twisted stabilized orbital integrals, Eisenstein series and cohomology of arithmetic groups: The generic case, On the asymptotic formula of Kuznetsov and existence of generic cusp forms, On the density of S-adic integers near some projective G-varieties, A Gauss-Bonnet formula for discrete arithmetically defined groups, Arithmetic statistics of Prym surfaces, The space of homogeneous probability measures on \(\overline{\Gamma \backslash X}^S_{\max}\) is compact (with an appendix by Jialun Li), Singular matrices and geometry at infinity of products of symmetric spaces, On the meromorphic continuation of Eisenstein series, Décompte de polarisations de degré donné, Bottom of the length spectrum of arithmetic orbifolds, Theta series and generalized special cycles on Hermitian locally symmetric manifolds, Hodge theory, between algebraicity and transcendence, A note on boundary components of arithmetic quotients of the group SL2 over an algebraic number field, Perfectoid Shimura varieties and the Calegari–Emerton conjectures, Bounds for theta sums in higher rank. II, Correction to: ``Height bounds and the Siegel property, Totally geodesic spectra of arithmetic hyperbolic spaces, A GLUING FORMULA FOR THE ANALYTIC TORSION ON HYPERBOLIC MANIFOLDS WITH CUSPS, Autoequivalences of twisted K3 surfaces, Continued fractions for complex numbers and values of binary quadratic forms, Linear groups of finite cohomological dimension, Exposants caractéristiques de l'algorithme de Jacobi-Perron et de la transformation associée. (Characteristic exponents of the Jacobi-Perron algorithm and of the associated map), The word and Riemannian metrics on lattices of semisimple groups, Singular vectors and geometry at infinity of products of hyperbolic spaces, Logarithmic Riemann–Hilbert correspondences for rigid varieties, Unnamed Item, On polyhedral retracts and compactifications of locally symmetric spaces, The double of a hyperbolic manifold and non-positively curved exotic $PL$ structures, Galois action on Fuchsian surface groups and their solenoids, Asymptotic geometry of arithmetic quotients of symmetric spaces, Déformations isospectrales sur certaines nilvariétés et finitude spectrale des variétés de Heisenberg, Class numbers of orders in complex quartic fields, Model theory of special subvarieties and Schanuel-type conjectures, Differential equations and Lie group representations, The asymptotic Schottky problem, Bounded equidistribution of special subvarieties in mixed Shimura varieties, Height bounds and the Siegel property, Proportionality principle for the simplicial volume of families of \(\mathbb Q\)-rank 1 locally symmetric spaces, Divergent trajectories and \({\mathbb Q}\)-rank, 𝐿²-metrics, projective flatness and families of polarized abelian varieties, Complex structures on partial compactifications of arithmetic quotients of classifying spaces of Hodge structures, Semigroups containing proximal linear maps, Zeta functions of Jordan algebra representations, Algebraic curves uniformized by congruence subgroups of triangle groups, Algèbres de Hecke quasi-ordinaires universelles, Hermitian vector bundles and extension groups on arithmetic schemes. I: Geometry of numbers, Boundary cohomology of Shimura varieties. I. Coherent cohomology on toroidal compactifications, Unlikely intersections with Hecke translates of a special subvariety, Geodesic rays in locally symmetric spaces, Subvarieties of quotients of bounded symmetric domains, Isoperimetric inequalities for lattices in semisimple Lie groups of rank 2, Product expansions for zeta functions attached to locally symmetric spaces of higher rank, Convergence of measures on compactifications of locally symmetric spaces, Variations on a theme of Minkowski and Serre, On the Shafarevich and Tate conjectures for hyperkähler varieties, Infinitesimal deformations of complex surfaces with boundary, Cocharacter-closure and the rational Hilbert-Mumford theorem, On the real cohomology of arithmetic groups and the rank conjecture for number fields, Simplicial volume, barycenter method, and bounded cohomology, Unnamed Item, Frontière de furstenberg, propriétés de contraction et théorèmes de convergence, Intersection Numbers of Special Cycles, Compactification of the moduli of polarized abelian varieties and mirror symmetry, Commensurability and Arithmetic Equivalence for Orthogonal Hypergeometric Monodromy Groups, 𝑆𝐿(2)-orbit theorem for degeneration of mixed Hodge structure, On the topology of relative and geometric orbits for actions of algebraic groups over complete fields, Hyperbolicity of singular spaces, On the number of ends of rank one locally symmetric spaces, Bounded and divergent trajectories and expanding curves on homogeneous spaces, Modular forms from Noether-Lefschetz theory, Hyperbolic Ax-Lindemann theorem in the cocompact case, Tame topology of arithmetic quotients and algebraicity of Hodge loci, Quasi-isometric invariance of continuous group \(L^p\)-cohomology, and first applications to vanishings, Cohomology of line bundles on $G/B$, Profinite invariants of arithmetic groups, Hyperbolicity properties of quotient surfaces by freely operating arithmetic lattices, Chirality of real non-singular cubic fourfolds and their pure deformation classification, Computing the real Weyl group, Rigidity results for groups with radical cohomology of finite groups and arithmeticity problems, Scattering matrices and scattering geodesics of locally symmetric spaces, Geometric cycles, arithmetic groups and their cohomology, Arithmetic rigidity and units in group rings, The integral Novikov conjectures for \(S\)-arithmetic groups. I, Lefschetz formulae for \(p\)-adic groups, Unnamed Item, Numerical Decomposition of the Rank-Deficiency Set of a Matrix of Multivariate Polynomials, A Note on Minimal Modular Symbols, A prime geodesic theorem for \(\mathrm{SL}_4\), On the Selberg trace formula in the case of compact quotient, Automorphic representations and Lefschetz numbers, Generic Torelli theorem for one-parameter mirror families to weighted hypersurfaces, Uniform boundedness of level structures on abelian varieties over complex function fields, The essential spectrum of the Laplacian on manifolds with ends, Cohomologie d'intersection et fonctions $L$ de certaines variétés de Shimura, Actions of large semigroups and random walks on isometric extensions of boundaries, Eisensteinreihen für einige arithmetisch definierte Untergruppen von \(SL_ 2({\mathbb{H}})\). (Eisenstein series for certain arithmetically defined subgroups of \(SL_ 2({\mathbb{H}}))\), The solubility of certain decision problems in arithmetic and algebra, CUSP FORMS ON GSp(4) WITH SO(4)-PERIODS, Exponential growth of torsion in the cohomology of arithmetic hyperbolic manifolds, On lower bounds for cohomology growth in \(p\)-adic analytic towers, Effective estimates for the degrees of maximal special subvarieties, Kakutani equivalence of unipotent flows, Unnamed Item, The spectral decomposition of \(|\theta |^2\), THE IHARA–SELBERG ZETA FUNCTION FOR PGL3 AND HECKE OPERATORS, Some applications of arithmetic groups in cryptography, Ordinary points \(\bmod\, p\) of \(\operatorname{GL}_n(\mathbb{R})\)-locally symmetric spaces, Salem numbers and arithmetic hyperbolic groups, On the point spectrum for finite volume symmentric spaces of negative curvature, Unnamed Item, Unnamed Item, Polarisations on an abelian variety, Diophantine approximation on rational quadrics, A characterization of complex quasi-projective manifolds uniformized by unit balls, Orthogonal groups of nonsingular forms of higher degree, Arithmeticity of discrete subgroups, Complex analytic geometry of complex parallelizable manifolds, On the Gauss-Bonnet Theorem for Complete Manifolds, Classifying spaces of degenerating mixed Hodge structures, III: Spaces of nilpotent orbits, Sur le groupe de Picard de l'espace de modules des fibrés stables sur $\mathbb{P}_2$, Special subvarieties of non-arithmetic ball quotients and Hodge theory, On the passage from local to global in number theory, Geodesic planes in geometrically finite acylindrical -manifolds, Unnamed Item, On the growth of the first Betti number of arithmetic hyperbolic 3-manifolds
