Let F be a p-adic field. We shall assume that the characteristic of F is different from two.
Denote by R the direct sum of the Grothendieck groups of the categories of all smooth …

GSp (n, F). The inner geometry of these groups motivates us to consider the representations
of these groups as modules over representations of general linear groups. Such an idea …

Jacquet modules of a reducible parabolically induced representation of a reductive p-adic
group reduce in a way consistent with the transitivity of Jacquet modules. This fact can be …

We generalize the torsion vanishing results of Caraiani-Scholze and Koshikawa. Our results
apply to the cohomology of general Shimura varieties $(\mathbf {G}, X) $ of PEL type $ A …

1.1. Let F be a nonarchimedean locally compactfield and F a Galois closure of F. If n> 2 is an
integer, the Langlands conjecture for GL (n) generalises class field theory, which concerns n …

Let F be a non-Archimedean local field and G the group of F-points of a connected reductive
algebraic group defined over F. Let B be a minimal F-parabolic subgroup of G with Levi …

We study the local L-functions for Levi subgroups in split spinor groups defined via the
Langlands-Shahidi method and prove a conjecture on their holomorphy in a half plane …

Let F be a non-archimedean local field. We establish the local Langlands correspondence
for all inner forms of the group SL _n (F) SL n (F). It takes the form of a bijection between, on …

This is the first of a short series of papers devoted to describing the admissible dual of the
special linear group G'= SL (N, F) of a non-Archimedean local field F, using the method of …

We study the problem of construction of noncuspidal irreducible square integrable
representations of classical p-adic groups, and questions related to it. Starting from cuspidal …