Galois representations
Galois representations of dihedral type over ℚₚ
Hereditary orders, Gauss sums and supercuspidal representations of GLN.
Hodge-Tate and de Rham representations in the imperfect residue field case
Let be a -adic local field with residue field such that and be a -adic representation of . Then, by using the theory of -adic differential modules, we show that is a Hodge-Tate (resp. de Rham) representation of if and only if is a Hodge-Tate (resp. de Rham) representation of where is a certain -adic local field with residue field the smallest perfect field containing .
La conjecture de Langlands locale numérique pour
La conjecture de Langlands locale pour
La conjecture de Langlands locale pour GL(n,F) modulo ℓ quand ℓ≠p,ℓ>n
La conjecture de langlands locale pour GL(p)
La conjecture locale de Langlands pour et la démonstration de Ph. Kutzko
Local coefficients and normalization of intertwining operators for
Local constant of Ind...1.
Local p-dimensional Galois characters.
Local Root Numbers and Hermitian Â? Galois Module Structure of Rings of Integers.
Local tame lifting for . I: Simple characters
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.
On liftings and cusp cohomology of arithmetic groups.
On modular representations of Gal (.../Q) arising from modular forms.
On non-basic Rapoport-Zink spaces
In this paper we study certain moduli spaces of Barsotti-Tate groups constructed by Rapoport and Zink as local analogues of Shimura varieties. More precisely, given an isogeny class of Barsotti-Tate groups with unramified additional structures, we investigate how the associated (non-basic) moduli spaces compare to the (basic) moduli spaces associated with its isoclinic constituents. This aspect of the geometry of the Rapoport-Zink spaces is closely related to Kottwitz’s prediction that their -adic...
On the Local Langlands Conjecture for Central Division Algebras of Index p.
On the Local Langlands Conjecture for GL(2).