A Lemma on Highly Ramified ...-Factors.
A note on trilinear forms for reducible representations and Beilinson's conjectures
We extend Prasad’s results on the existence of trilinear forms on representations of of a local field, by permitting one or more of the representations to be reducible principal series, with infinite-dimensional irreducible quotient. We apply this in a global setting to compute (unconditionally) the dimensions of the subspaces of motivic cohomology of the product of two modular curves constructed by Beilinson.
A relation between automorphic representations of and
An explicit Brauer formula for local Galois characters.
-représentations dans le cas relatif
Dans ce travail nous développons un analogue relatif de la théorie de Sen pour les -représentations. On donne des applications à la théorie des représentations -adiques, en la reliant à la théorie des -modules relatifs, et à celle des modules de Higgs -adiques développée par G. Faltings.
Banach-Hecke algebras and -adic Galois representations.
Caractérisation de la correspondance de Langlands locale par les facteurs ... de paires.
Changement du corps de base pour les représentations de
Cohomologie, -groupes et fonctorialité
Complex structure on the smooth dual of .
Comptage de représentations de groupes de Galois locaux
Congruences modulo between factors for cuspidal representations of
Let be two different prime numbers, let be a local non archimedean field of residual characteristic , and let be an algebraic closure of the field of -adic numbers , the ring of integers of , the residual field of . We proved the existence and the unicity of a Langlands local correspondence over for all , compatible with the reduction modulo in [V5], without using and factors of pairs. We conjecture that the Langlands local correspondence over respects congruences modulo between...
Correspondance de Langlands locale pour et conducteurs de paires
Davenport-Hasse relations and an explicit Langlands correspondence, II : twisting conjectures
Let be a finite field extension. The Langlands correspondence gives a canonical bijection between the set of equivalence classes of irreducible -dimensional representations of the Weil group of and the set of equivalence classes of irreducible supercuspidal representations of GL. This paper is concerned with the case where . In earlier work, the authors constructed an explicit bijection using a non-Galois tame base change map. If this tame base change satisfies a certain conjectured...
D-elliptic sheaves and the Langlands correspondence.
Elliptic curves and local -factors
Espaces symétriques de Drinfeld et correspondance de Langlands locale
Facteurs locaux pour
Fourier transforms of representations of quaternions.
Galois ...-factors modulo roots of unity.