Galois representations for even general special orthogonal groups

Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Cites Work

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Deformations of Galois representations and exceptional monodromy
On the rigid cohomology of certain Shimura varieties
The image of complex conjugation in $l$-adic representations associated to automorphic forms
A conjecture on Whittaker-Fourier coefficients of cusp forms
Arithmetic invariants of discrete Langlands parameters
L-packets of quasisplit $GSp(2n)$ and $GO(2n)$
Local-global compatibility and the action of monodromy on nearby cycles
Eigenvarieties for classical groups and complex conjugations in Galois representations
Shimura varieties and twisted orbital integrals
On torsion in the cohomology of locally symmetric varieties
Automorphy for some $l$-adic lifts of automorphic mod $l$ Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
Stable trace formula: Elliptic singular terms
La conjecture de Weil. II
On $\ell$-adic sheaves on Shimura varieties and their higher direct images in the Baily-Borel compactification
On the motive of $G$ and the principal homomorphism $\text{SL}_2\to\widehat G$
On the conjugacy of element-conjugate homomorphisms
Subgroups of $\mathrm{Spin}(7)$ or $\mathrm{SO}(7)$ with each element conjugate to some element of $\mathrm{G}_2$ and applications to automorphic forms
Examples for embeddings of groups $\text{PSL}_ 2(F_ p)$ into simple Lie groups
On the unitary dual of real reductive Lie groups and the $A_g(\lambda)$ modules: The strongly regular case
Asymptotic behavior of supercuspidal representations and Sato-Tate equidistribution for families
Central morphisms and cuspidal automorphic representations
Potential automorphy and change of weight
Galois representations for general symplectic groups
The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
The conjectural connections between automorphic representations and Galois representations
On the image of complex conjugation in certain Galois representations
The Local Langlands Conjectures for Non-quasi-split Groups
Mod $p$ points on Shimura varieties of abelian type
Algebraic Groups
The sign of Galois representations attached to automorphic forms for unitary groups
Les Constantes des Equations Fonctionnelles des Fonctions L
On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173)
On Satake Parameters for Representations with Parahoric Fixed Vectors
Points on Some Shimura Varieties Over Finite Fields
Clifford Algebras and Spinor Norms Over a Commutative Ring
Induced representations of reductive ${\germ p}$-adic groups. I
Subgroups of Algebraic Groups Containing Regular Unipotent Elements
On Minuscule Representations and the Principal SL₂
Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
Toroidal compactifications of integral models of Shimura varieties of Hodge type
Automorphy and irreducibility of some l-adic representations
ENDOSCOPY AND COHOMOLOGY IN A TOWER OF CONGRUENCE MANIFOLDS FOR
Regular supercuspidal representations
On a lifting problem of L-packets
On the compactification of arithmetically defined quotients of bounded symmetric domains
Lie groups beyond an introduction
Quaternions and matrices of quaternions
De Rham comparison and Poincaré duality for rigid varieties

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