Local character expansions
Local character expansions and Shalika germs for GL(n).
Local coefficients and normalization of intertwining operators for
Local Howe correspondence for groups of similitudes.
Local Shimura Correspondence.
Local tame lifting for . I: Simple characters
Local-global compatibility for , I
We prove the compatibility of the local and global Langlands correspondences at places dividing for the -adic Galois representations associated to regular algebraic conjugate self-dual cuspidal automorphic representations of over an imaginary CM field, under the assumption that the automorphic representations have Iwahori-fixed vectors at places dividing and have Shin-regular weight.
Locally analytic vectors of unitary principal series of
The -adic local Langlands correspondence for attaches to any -dimensional irreducible -adic representation of an admissible unitary representation of . The unitary principal series of are those corresponding to trianguline representations. In this article, for , using the machinery of Colmez, we determine the space of locally analytic vectors for all non-exceptional unitary principal series of by proving a conjecture of Emerton.
Metaplectic correspondence
Metaplectic correspondences and unitary representations
Modèles de Whittaker dute;générés pour des groupes p-adiques.
Multiplicity one for the Gelfand-Graev representation of a linear group
New models for the action of Hecke operators in spaces of Maass wave forms
Utilizing the theory of the Poisson transform, we develop some new concrete models for the Hecke theory in a space of Maass forms with eigenvalue on a congruence subgroup . We introduce the field so that consists entirely of algebraic numbers if .The main result of the paper is the following. For a packet of Hecke eigenvalues occurring in we then have that either every is algebraic over , or else will – for some – occur in the first cohomology of a certain space which is a...
New unique models of representations of unitary groups
Nonstandard intertwining operators and the structure of unramified principle series representations.
Non-vanishing on the first cohomology
Normalization of intertwining operators and reducibility of representations induced from cuspidal ones; the case of -adic classical groups. (Normalisation des opérateurs d'entrelacement et réductibilité des induites de cuspidales; le cas des groupes classiques -adiques.)
Normes -adiques et extensions quadratiques
On classifie les orbites de sur l’immeuble de Bruhat-Tits de pour trois paires sphériques de groupes -adiques classiques.
On an extension of a theorem of Tunnell
On distinguished representations.