zbMath0980.22015MaRDI QIDQ4705361
Armand Borel, Nolan R. Wallach
Publication date: 19 December 1999
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cohomological representations for real reductive groups ⋮
Derived 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 SPACES ⋮
Mass equidistribution for automorphic forms of cohomological type on 𝐺𝐿₂ ⋮
Reciprocity laws and Galois representations: recent breakthroughs ⋮
Continuity properties of measurable group cohomology ⋮
The basic stratum of some simple Shimura varieties ⋮
Sur le changement de base stable des intégrales orbitales pondérées ⋮
The Asymptotics of the Ray-Singer Analytic Torsion of Hyperbolic 3-manifolds ⋮
Sato-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 Unity ⋮
The dependence on parameters of the inverse functor to the 𝐾-finite functor ⋮
The differential form spectrum of quaternionic hyperbolic spaces ⋮
Exact categories ⋮
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Langlands program and Ramanujan Conjecture: A survey ⋮
Universal eigenvarieties, trianguline Galois representations, and \(p\)-adic Langlands functoriality ⋮
Eichler-Shimura isomorphism for complex hyperbolic lattices ⋮
On volumes of quasi-arithmetic hyperbolic lattices ⋮
Cohomology of topologised monoids ⋮
A Weyl module stratification of integrable representations. With an appendix by Ryosuke Kodera ⋮
On the distribution of Satake parameters for Siegel modular forms ⋮
Hodge classes and the Jacquet–Langlands correspondence ⋮
Central theorems for cohomologies of certain solvable groups ⋮
Ext-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 \(L\)-functions ⋮
Endoscopy and Cohomology of a Quasi-Split U(4) ⋮
Unitarizability in Corank Three for Classical 𝑝-adic Groups ⋮
On the Helgason-Johnson bound ⋮
Residual finiteness of extensions of arithmetic subgroups of \(\mathrm{SU}(d,1)\) with cusps ⋮
AUTOMORPHIC LEFSCHETZ PROPERTIES FOR NONCOMPACT ARITHMETIC MANIFOLDS ⋮
The cohomology of Shimura varieties with torsion coefficients ⋮
De Rham comparison and Poincaré duality for rigid varieties ⋮
Subgroups of hyperbolic groups, finiteness properties and complex hyperbolic lattices ⋮
Derived Hecke action at p and the ordinary p -adic cohomology of arithmetic manifolds ⋮
Anticyclotomic Euler systems for unitary groups ⋮
Stability and instability of lattices in semisimple groups ⋮
Eisenstein 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 groups ⋮
Potential automorphy over CM fields ⋮
IMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMS ⋮
Modular forms on \(\mathrm{SU}(2,1)\) with weight \(\frac{1}{3}\) ⋮
The simplicial volume of closed manifolds covered by ℍ2× ℍ2 ⋮
ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS ⋮
The twisted symmetric square \(L\)-function of \(\mathrm{GL}(r)\) ⋮
Arithmetic diagonal cycles on unitary Shimura varieties ⋮
Volume invariant and maximal representations of discrete subgroups of Lie groups ⋮
The Sato-Tate conjecture for Hilbert modular forms ⋮
On period relations for automorphic 𝐿-functions I ⋮
The Langlands dual and unitary dual of quasi-split 𝑃𝐺𝑆𝑂₈^{𝐸} ⋮
Dirac index and twisted characters ⋮
The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds ⋮
The continuous spectrum of the Dirac operator on noncompact Riemannian symmetric spaces of rank one ⋮
Hypoelliptic 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 Groups ⋮
Borel's stable range for the cohomology of arithmetic groups ⋮
Residual spectrum of \(\mathrm{GL}_{2n}\) distinguished by the symplectic group ⋮
Euclidean-valued group cohomology is always reduced ⋮
Dirac operators and Lie algebra cohomology ⋮
The Langlands classification for non-connected \(p\)-adic groups ⋮
On lower bounds for cohomology growth in \(p\)-adic analytic towers ⋮
Torsion homology of arithmetic lattices and \(K_2\) of imaginary fields ⋮
DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS ⋮
Cohomology of \(p\)-adic Stein spaces ⋮
Eisenstein Cohomology and Automorphic L-Functions ⋮
Cohomological Representations and Functorial Transfer from Classical Groups ⋮
APPROXIMATION OF -ANALYTIC TORSION FOR ARITHMETIC QUOTIENTS OF THE SYMMETRIC SPACE ⋮
AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR AND ITS APPLICATIONS ⋮
STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS ⋮
Generalizing the MVW involution, and the contragredient ⋮
ENDOSCOPY AND COHOMOLOGY IN A TOWER OF CONGRUENCE MANIFOLDS FOR ⋮
On locally analytic vectors of the completed cohomology of modular curves ⋮
Représentations unitaires irréductibles des groupes simples complexes de rang deux ⋮
The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions ⋮
Arthur's multiplicity formula for \(\mathrm{GSp}_4\) and restriction to \(\mathrm{Sp}_4\) ⋮
Non-residually finite extensions of arithmetic groups ⋮
Generalized injectivity conjecture for classical p-adic groups. II ⋮
Boundary behaviour of special cohomology classes arising from the Weil representation ⋮
The degenerate residual spectrum of quasi-split forms of $Spin_8$ associated to the Heisenberg parabolic subgroup ⋮
A cocycle model for topological and Lie group cohomology ⋮
On Jordan-Hölder series of some locally analytic representations ⋮
Derived Hecke algebra and automorphic ℒ-invariants ⋮
The residual Eisenstein cohomology of $Sp_{4}$ over a totally real number field ⋮
The relative Hochschild-Serre spectral sequence and the Belkale-Kumar product ⋮
Finite descent obstruction for Hilbert modular varieties ⋮
A prime geodesic theorem for \(\mathrm{SL}_3(\mathbb{Z})\) ⋮
Asymptotics of analytic torsion for hyperbolic three-manifolds ⋮
On extensions of generalized Steinberg representations ⋮
The Modularity of Special Cycles on Orthogonal Shimura Varieties over Totally Real Fields under the Beilinson–Bloch Conjecture ⋮
On the Kottwitz conjecture for local shtuka spaces ⋮
Analytic Torsion and Dynamical Flow:A Survey on the Fried Conjecture ⋮
Computing arithmetic Kleinian groups ⋮
The generalized injectivity conjecture ⋮
Raising the level for ⋮
The Noether-Lefschetz conjecture and generalizations ⋮
Non-vanishing for group \(L^p\)-cohomology of solvable and semisimple Lie groups ⋮
Unlikely intersections on the \(p\)-adic formal ball ⋮
Family of 𝒟-modules and representations with a boundedness property ⋮
An approach to the characterization of the local Langlands correspondence ⋮
Boundary maps and maximal representations on infinite-dimensional Hermitian symmetric spaces ⋮
Euler characteristic and cohomology of \(\mathrm{Sp}_4 (\mathbb{Z})\) with nontrivial coefficients ⋮
The density hypothesis for horizontal families of lattices ⋮
Toeplitz operators and the full asymptotic torsion forms ⋮
Frölicher spectral sequence and Hodge structures on the cohomology of complex parallelisable manifolds ⋮
The Whittaker Plancherel theorem ⋮
Endoscopic transfer and automorphic L-functions: The case of the general spin group and the twisted symmetric and exterior square L-functions ⋮
On automorphisms and adjoint orbits of real semisimple Lie algebras ⋮
Boundary and Eisenstein cohomology of \(G_2(\mathbb{Z})\) ⋮
Representations of Lie algebras by non-skewselfadjoint operators in Hilbert space ⋮
On the Eisenstein cohomology of arithmetic groups ⋮
Dirac 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 forms ⋮
A trace formula approach to control theorems for overconvergent automorphic forms ⋮
Affine Jacquet functors and Harish-Chandra categories ⋮
Types and unitary representations of reductive \(p\)-adic groups ⋮
Picard groups of certain compact complex parallelizable manifolds and related spaces ⋮
Classicality for small slope overconvergent automorphic forms on some compact PEL Shimura varieties of type C ⋮
On Shalika models and \(p\)-adic \(L\)-functions ⋮
Symplectic Dolbeault operators on Kähler manifolds ⋮
Harish-Chandra's orthogonality relations for admissible representations ⋮
Invariants, cohomology, and automorphic forms of higher order ⋮
On the cuspidal support of discrete series for \(p\)-adic quasisplit \(\mathrm{Sp}(N)\) and \(\mathrm{SO}(N)\) ⋮
Simplicial volume, barycenter method, and bounded cohomology ⋮
Asymptotics of functions satisfying the \(\gamma\)-weak inequality with applications to uniformly bounded representations ⋮
On the cohomology of trialitary hyperbolic varieties of dimension 7 ⋮
Analytic torsion of arithmetic quotients of the symmetric space \(\mathrm{SL} (n,\mathbb{R})/ \mathrm{SO}(n)\) ⋮
Poincaré series for non-Riemannian locally symmetric spaces ⋮
Modularity lifting beyond the Taylor-Wiles method ⋮
Homological vanishing theorems for locally analytic representations ⋮
Cohomology and \(L\)-values ⋮
Derived Galois deformation rings ⋮
Topological group cohomology with loop contractible coefficients ⋮
Local rigidity for complex hyperbolic lattices and Hodge theory ⋮
Bounds for the multiplicities of cohomological automorphic forms on \(\mathrm{GL}_2\) ⋮
Harmonic analysis as spectral theory of Laplacians ⋮
A tower of coverings of quasi-projective varieties ⋮
On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds ⋮
Image of normalized intertwining operators and poles of the Eisenstein series ⋮
The generalized Chern conjecture for manifolds that are locally a product of surfaces ⋮
Eisenstein cohomology and ratios of critical values of Rankin-Selberg \(L\)-functions ⋮
Galois representations arising from some compact Shimura varieties ⋮
Whittaker vectors and conical vectors ⋮
Induced \(C^*\)-complexes in metaplectic geometry ⋮
Eisenstein series for rank one unitary groups and some cohomological applications ⋮
Harmonic analysis for differential forms on complex hyperbolic spaces ⋮
On special representations of \(p\)-adic reductive groups ⋮
Phantom ideals and cotorsion pairs in extriangulated categories ⋮
Quasi-isometric invariance of continuous group \(L^p\)-cohomology, and first applications to vanishings ⋮
Asai cube \(L\)-functions and the local Langlands correspondence ⋮
Equivariant vector bundles on Drinfeld's upper half space ⋮
A Brylinski filtration for affine Kac-Moody algebras ⋮
Spectral analysis on pseudo-Riemannian locally symmetric spaces ⋮
Eigenvarieties for reductive groups ⋮
Cohomologically induced distinguished representations and cohomological test vectors ⋮
Deformations of groups of gauge transformations ⋮
Analytic torsion, dynamical zeta function, and the Fried conjecture for admissible twists ⋮
The standard sign conjecture on algebraic cycles: the case of Shimura varieties ⋮
Maximal representations of complex hyperbolic lattices into \(\mathrm{SU}(m,n)\) ⋮
The pro-étale cohomology of Drinfeld's upper half space ⋮
Automorphic \(\mathcal{L} \)-invariants for reductive groups ⋮
Invariant syzygies and semisimple groups ⋮
On the canonical line bundle of a locally Hermitian symmetric space ⋮
Geometry of convex cones and application to the Euclidean projection on the positive Weyl chamber ⋮
Period relations for cusp forms of \(\operatorname{GSp_4}\) ⋮
\(\mathfrak{p}\)-adic distributions attached to twisted tensor \(L\)-functions for \(\mathrm{GL}_{2}\) over CM fields ⋮
The Maslov index on the simply connected covering group and the metaplectic representation ⋮
Cohomology of arithmetic groups and periods of automorphic forms ⋮
On the \(\mathrm {GL}_n\)-eigenvariety and a conjecture of Venkatesh ⋮
On an algebraic approach to the Zelevinsky classification for classical \(p\)-adic groups ⋮
Non \(p\)-norm approximated groups ⋮
Equivariant splittings of supermanifolds ⋮
The Hodge conjecture and arithmetic quotients of complex balls ⋮
Volume of representations and mapping degree ⋮
A Poisson structure on compact symmetric spaces ⋮
Low degree cohomologies of congruence groups ⋮
Arithmetic applications of the Langlands program ⋮
Strengthening Kazhdan's property \((T)\) by Bochner methods ⋮
Automorphic forms constructed from Whittaker vectors ⋮
Characters, asymptotic and n-homology of Harish-Chandra modules ⋮
Geometric construction of cohomology for arithmetic groups. I ⋮
Strong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifolds ⋮
Torsion homology growth and cycle complexity of arithmetic manifolds ⋮
Motivic Galois representations valued in spin groups ⋮
A geometric construction of the discrete series for semisimple Lie groups ⋮
On the depth \(r\) Bernstein projector ⋮
Arithmetic 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 groups ⋮
Cyclic representations of general linear \(p\)-adic groups ⋮
Asymptotic properties of unitary representations ⋮
Galois deformation spaces with a sparsity of automorphic points ⋮
Chow groups and \(L\)-derivatives of automorphic motives for unitary groups ⋮
An implicit function theorem for Banach spaces and some applications ⋮
Dirac cohomology of some Harish-Chandra modules ⋮
A note on multiplicities of singular representations in the discrete spectrum of Sl(2,\({\mathbb{R}})/\Gamma\) ⋮
Intertwining operators and residues. I: Weighted characters ⋮
Relative Lie algebra cohomology ⋮
Potential automorphy of \(\mathrm{GSpin}_{2n+1}\)-valued Galois representations ⋮
Cohomology for groups of isometries of regular trees ⋮
Symplectic Dirac operators on Hermitian symmetric spaces ⋮
Optimal control and stability analysis of malaria disease: a model based approach ⋮
Unitary representations with Dirac cohomology: a finiteness result for complex Lie groups ⋮
The dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\). ⋮
Triangular dynamical \(r\)-matrices and quantization ⋮
Exceptional poles of local \(L\)-functions for \textit{GSp}(4) with respect to split Bessel models ⋮
Dirac series of \(E_{7 (- 5)}\) ⋮
On the homology of groups of jets