scientific article; zbMATH DE number 1380627

From MaRDI portal
Publication:4705361

zbMath0980.22015MaRDI QIDQ4705361

Armand Borel, Nolan R. Wallach

Publication date: 19 December 1999


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items

Cohomological representations for real reductive groupsDerived Functors and Intertwining Operators for Principal Series Representations of $$SL_2({\pmb {\mathbb {R}}})$$ S L 2 ( R )PATCHING AND THE COMPLETED HOMOLOGY OF LOCALLY SYMMETRIC SPACESMass equidistribution for automorphic forms of cohomological type on 𝐺𝐿₂Reciprocity laws and Galois representations: recent breakthroughsContinuity properties of measurable group cohomologyThe basic stratum of some simple Shimura varietiesSur le changement de base stable des intégrales orbitales pondéréesThe Asymptotics of the Ray-Singer Analytic Torsion of Hyperbolic 3-manifoldsSato-Tate theorem for families and low-lying zeros of automorphic \(L\)-functions. Appendix A by Robert Kottwitz, and Appendix B by Raf Cluckers, Julia Gordon and Immanuel Halupczok.Modular Forms and Elliptic Curves over the Field of Fifth Roots of UnityThe dependence on parameters of the inverse functor to the 𝐾-finite functorThe differential form spectrum of quaternionic hyperbolic spacesExact categoriesUnnamed ItemUnnamed ItemLanglands program and Ramanujan Conjecture: A surveyUniversal eigenvarieties, trianguline Galois representations, and \(p\)-adic Langlands functorialityEichler-Shimura isomorphism for complex hyperbolic latticesOn volumes of quasi-arithmetic hyperbolic latticesCohomology of topologised monoidsA Weyl module stratification of integrable representations. With an appendix by Ryosuke KoderaOn the distribution of Satake parameters for Siegel modular formsHodge classes and the Jacquet–Langlands correspondenceCentral theorems for cohomologies of certain solvable groupsExt-multiplicity theorem for standard representations of \((\mathrm{GL}_{n+1},\mathrm{GL}_n)\)On the nonvanishing hypothesis for Rankin-Selberg convolutions for 𝐺𝐿_{𝑛}(ℂ)×𝔾𝕃_{𝕟}(ℂ)Algebraicity of the central critical values of twisted triple product \(L\)-functionsEndoscopy and Cohomology of a Quasi-Split U(4)Unitarizability in Corank Three for Classical 𝑝-adic GroupsOn the Helgason-Johnson boundResidual finiteness of extensions of arithmetic subgroups of \(\mathrm{SU}(d,1)\) with cuspsAUTOMORPHIC LEFSCHETZ PROPERTIES FOR NONCOMPACT ARITHMETIC MANIFOLDSThe cohomology of Shimura varieties with torsion coefficientsDe Rham comparison and Poincaré duality for rigid varietiesSubgroups of hyperbolic groups, finiteness properties and complex hyperbolic latticesDerived Hecke action at p and the ordinary p -adic cohomology of arithmetic manifoldsAnticyclotomic Euler systems for unitary groupsStability and instability of lattices in semisimple groupsEisenstein cohomology for congruence subgroups of \(\text{SO}(n,2)\)Working session: Derived Galois deformation rings and cohomology of arithmetic groups. Abstracts from the working session held April 4--10, 2021 (hybrid meeting)Galois representations for general symplectic groupsPotential automorphy over CM fieldsIMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMSModular forms on \(\mathrm{SU}(2,1)\) with weight \(\frac{1}{3}\)The simplicial volume of closed manifolds covered by ℍ2× ℍ2ASYMPTOTIC TORSION AND TOEPLITZ OPERATORSThe twisted symmetric square \(L\)-function of \(\mathrm{GL}(r)\)Arithmetic diagonal cycles on unitary Shimura varietiesVolume invariant and maximal representations of discrete subgroups of Lie groupsThe Sato-Tate conjecture for Hilbert modular formsOn period relations for automorphic 𝐿-functions IThe Langlands dual and unitary dual of quasi-split 𝑃𝐺𝑆𝑂₈^{𝐸}Dirac index and twisted charactersThe Seiberg-Witten equations and the length spectrum of hyperbolic three-manifoldsThe continuous spectrum of the Dirac operator on noncompact Riemannian symmetric spaces of rank oneHypoelliptic Laplacian and twisted trace formula\(H\)-invariant distribution vectors of induced representations for a \(p\)-adic reductive symmetric space \(G/H\)On the Third-Degree Continuous Cohomology of Simple Lie GroupsBorel's stable range for the cohomology of arithmetic groupsResidual spectrum of \(\mathrm{GL}_{2n}\) distinguished by the symplectic groupEuclidean-valued group cohomology is always reducedDirac operators and Lie algebra cohomologyThe Langlands classification for non-connected \(p\)-adic groupsOn lower bounds for cohomology growth in \(p\)-adic analytic towersTorsion homology of arithmetic lattices and \(K_2\) of imaginary fieldsDERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPSCohomology of \(p\)-adic Stein spacesEisenstein Cohomology and Automorphic L-FunctionsCohomological Representations and Functorial Transfer from Classical GroupsAPPROXIMATION OF -ANALYTIC TORSION FOR ARITHMETIC QUOTIENTS OF THE SYMMETRIC SPACEAN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR AND ITS APPLICATIONSSTABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPSGeneralizing the MVW involution, and the contragredientENDOSCOPY AND COHOMOLOGY IN A TOWER OF CONGRUENCE MANIFOLDS FOROn locally analytic vectors of the completed cohomology of modular curvesReprésentations unitaires irréductibles des groupes simples complexes de rang deuxThe nonvanishing hypothesis at infinity for Rankin-Selberg convolutionsArthur's multiplicity formula for \(\mathrm{GSp}_4\) and restriction to \(\mathrm{Sp}_4\)Non-residually finite extensions of arithmetic groupsGeneralized injectivity conjecture for classical p-adic groups. IIBoundary behaviour of special cohomology classes arising from the Weil representationThe degenerate residual spectrum of quasi-split forms of $Spin_8$ associated to the Heisenberg parabolic subgroupA cocycle model for topological and Lie group cohomologyOn Jordan-Hölder series of some locally analytic representationsDerived Hecke algebra and automorphic ℒ-invariantsThe residual Eisenstein cohomology of $Sp_{4}$ over a totally real number fieldThe relative Hochschild-Serre spectral sequence and the Belkale-Kumar productFinite descent obstruction for Hilbert modular varietiesA prime geodesic theorem for \(\mathrm{SL}_3(\mathbb{Z})\)Asymptotics of analytic torsion for hyperbolic three-manifoldsOn extensions of generalized Steinberg representationsThe Modularity of Special Cycles on Orthogonal Shimura Varieties over Totally Real Fields under the Beilinson–Bloch ConjectureOn the Kottwitz conjecture for local shtuka spacesAnalytic Torsion and Dynamical Flow:A Survey on the Fried ConjectureComputing arithmetic Kleinian groupsThe generalized injectivity conjectureRaising the level forThe Noether-Lefschetz conjecture and generalizationsNon-vanishing for group \(L^p\)-cohomology of solvable and semisimple Lie groupsUnlikely intersections on the \(p\)-adic formal ballFamily of 𝒟-modules and representations with a boundedness propertyAn approach to the characterization of the local Langlands correspondenceBoundary maps and maximal representations on infinite-dimensional Hermitian symmetric spacesEuler characteristic and cohomology of \(\mathrm{Sp}_4 (\mathbb{Z})\) with nontrivial coefficientsThe density hypothesis for horizontal families of latticesToeplitz operators and the full asymptotic torsion formsFrölicher spectral sequence and Hodge structures on the cohomology of complex parallelisable manifoldsThe Whittaker Plancherel theoremEndoscopic transfer and automorphic L-functions: The case of the general spin group and the twisted symmetric and exterior square L-functionsOn automorphisms and adjoint orbits of real semisimple Lie algebrasBoundary and Eisenstein cohomology of \(G_2(\mathbb{Z})\)Representations of Lie algebras by non-skewselfadjoint operators in Hilbert spaceOn the Eisenstein cohomology of arithmetic groupsDirac index of some unitary representations of \(Sp(2n, \mathbb{R})\) and \(SO^{\ast} (2n)\)On Deligne's conjecture for symmetric fifth \(L\)-functions of modular formsA trace formula approach to control theorems for overconvergent automorphic formsAffine Jacquet functors and Harish-Chandra categoriesTypes and unitary representations of reductive \(p\)-adic groupsPicard groups of certain compact complex parallelizable manifolds and related spacesClassicality for small slope overconvergent automorphic forms on some compact PEL Shimura varieties of type COn Shalika models and \(p\)-adic \(L\)-functionsSymplectic Dolbeault operators on Kähler manifoldsHarish-Chandra's orthogonality relations for admissible representationsInvariants, cohomology, and automorphic forms of higher orderOn the cuspidal support of discrete series for \(p\)-adic quasisplit \(\mathrm{Sp}(N)\) and \(\mathrm{SO}(N)\)Simplicial volume, barycenter method, and bounded cohomologyAsymptotics of functions satisfying the \(\gamma\)-weak inequality with applications to uniformly bounded representationsOn the cohomology of trialitary hyperbolic varieties of dimension 7Analytic torsion of arithmetic quotients of the symmetric space \(\mathrm{SL} (n,\mathbb{R})/ \mathrm{SO}(n)\)Poincaré series for non-Riemannian locally symmetric spacesModularity lifting beyond the Taylor-Wiles methodHomological vanishing theorems for locally analytic representationsCohomology and \(L\)-valuesDerived Galois deformation ringsTopological group cohomology with loop contractible coefficientsLocal rigidity for complex hyperbolic lattices and Hodge theoryBounds for the multiplicities of cohomological automorphic forms on \(\mathrm{GL}_2\)Harmonic analysis as spectral theory of LaplaciansA tower of coverings of quasi-projective varietiesOn the torsion in the cohomology of arithmetic hyperbolic 3-manifoldsImage of normalized intertwining operators and poles of the Eisenstein seriesThe generalized Chern conjecture for manifolds that are locally a product of surfacesEisenstein cohomology and ratios of critical values of Rankin-Selberg \(L\)-functionsGalois representations arising from some compact Shimura varietiesWhittaker vectors and conical vectorsInduced \(C^*\)-complexes in metaplectic geometryEisenstein series for rank one unitary groups and some cohomological applicationsHarmonic analysis for differential forms on complex hyperbolic spacesOn special representations of \(p\)-adic reductive groupsPhantom ideals and cotorsion pairs in extriangulated categoriesQuasi-isometric invariance of continuous group \(L^p\)-cohomology, and first applications to vanishingsAsai cube \(L\)-functions and the local Langlands correspondenceEquivariant vector bundles on Drinfeld's upper half spaceA Brylinski filtration for affine Kac-Moody algebrasSpectral analysis on pseudo-Riemannian locally symmetric spacesEigenvarieties for reductive groupsCohomologically induced distinguished representations and cohomological test vectorsDeformations of groups of gauge transformationsAnalytic torsion, dynamical zeta function, and the Fried conjecture for admissible twistsThe standard sign conjecture on algebraic cycles: the case of Shimura varietiesMaximal representations of complex hyperbolic lattices into \(\mathrm{SU}(m,n)\)The pro-étale cohomology of Drinfeld's upper half spaceAutomorphic \(\mathcal{L} \)-invariants for reductive groupsInvariant syzygies and semisimple groupsOn the canonical line bundle of a locally Hermitian symmetric spaceGeometry of convex cones and application to the Euclidean projection on the positive Weyl chamberPeriod relations for cusp forms of \(\operatorname{GSp_4}\)\(\mathfrak{p}\)-adic distributions attached to twisted tensor \(L\)-functions for \(\mathrm{GL}_{2}\) over CM fieldsThe Maslov index on the simply connected covering group and the metaplectic representationCohomology of arithmetic groups and periods of automorphic formsOn the \(\mathrm {GL}_n\)-eigenvariety and a conjecture of VenkateshOn an algebraic approach to the Zelevinsky classification for classical \(p\)-adic groupsNon \(p\)-norm approximated groupsEquivariant splittings of supermanifoldsThe Hodge conjecture and arithmetic quotients of complex ballsVolume of representations and mapping degreeA Poisson structure on compact symmetric spacesLow degree cohomologies of congruence groupsArithmetic applications of the Langlands programStrengthening Kazhdan's property \((T)\) by Bochner methodsAutomorphic forms constructed from Whittaker vectorsCharacters, asymptotic and n-homology of Harish-Chandra modulesGeometric construction of cohomology for arithmetic groups. IStrong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifoldsTorsion homology growth and cycle complexity of arithmetic manifoldsMotivic Galois representations valued in spin groupsA geometric construction of the discrete series for semisimple Lie groupsOn the depth \(r\) Bernstein projectorArithmetic families of \((\varphi,\Gamma)\)-modules and locally analytic representations of \(\mathrm{GL}_2(\mathbb Q_p)\)Plancherel formula for \(\mathrm{GL}_n(F)\setminus \mathrm{GL}_n(E)\) and applications to the Ichino-Ikeda and formal degree conjectures for unitary groupsCyclic representations of general linear \(p\)-adic groupsAsymptotic properties of unitary representationsGalois deformation spaces with a sparsity of automorphic pointsChow groups and \(L\)-derivatives of automorphic motives for unitary groupsAn implicit function theorem for Banach spaces and some applicationsDirac cohomology of some Harish-Chandra modulesA note on multiplicities of singular representations in the discrete spectrum of Sl(2,\({\mathbb{R}})/\Gamma\)Intertwining operators and residues. I: Weighted charactersRelative Lie algebra cohomologyPotential automorphy of \(\mathrm{GSpin}_{2n+1}\)-valued Galois representationsCohomology for groups of isometries of regular treesSymplectic Dirac operators on Hermitian symmetric spacesOptimal control and stability analysis of malaria disease: a model based approachUnitary representations with Dirac cohomology: a finiteness result for complex Lie groupsThe dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\).Triangular dynamical \(r\)-matrices and quantizationExceptional poles of local \(L\)-functions for \textit{GSp}(4) with respect to split Bessel modelsDirac series of \(E_{7 (- 5)}\)On the homology of groups of jets