Weak transfer from classical groups to general linear groups

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Cites Work

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On the rigid cohomology of certain Shimura varieties
A remark on a conjecture of Buzzard-Gee and the cohomology of Shimura varieties
The image of complex conjugation in \(l\)-adic representations associated to automorphic forms
Eigenvarieties for classical groups and complex conjugations in Galois representations
On torsion in the cohomology of locally symmetric varieties
On the twisted weighted fundamental lemma
Transfer factors for the classical groups: a formulary
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 With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
On the definition of transfer factors
Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups
Doubling constructions and tensor product \(L\)-functions: the linear case
On the sign of regular algebraic polarizable automorphic representations
Potential automorphy and change of weight
Galois representations for general symplectic groups
The conjectural connections between automorphic representations and Galois representations
On the image of complex conjugation in certain Galois representations
On subquotients of the étale cohomology of Shimura varieties
Functoriality for the Classical Groups over Function Fields
Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale
Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
Character identities in the twisted endoscopy of real reductive groups
An Introduction to Langlands Functoriality
Endoscopic Classification of representations of Quasi-Split Unitary Groups
Problems in the theory of automorphic forms to Salomon Bochner in gratitude
Rigidity of automorphic Galois representations over CM fields

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