This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and,
second, to identify the action of the decomposition group at a prime of bad reduction on the l …

In this paper we prove the functoriality of the exterior square of cusp forms on $ GL_ {4} $ as
automorphic forms on $ GL_ {6} $ and the symmetric fourth of cusp forms on $ GL_ {2} $ as …

In this paper we establish the endoscopic classification of tempered representations of quasi-
split unitary groups over local fields, and the endoscopic classification of the discrete …

Let F be a finite extension of ℚ p. For each integer n≥ 1, we construct a bijection from the
set? F 0 (n) of isomorphism classes of irreducible degree n representations of the (absolute) …

On démontre la correspondance de Langlands pour GL r sur les corps de fonctions. La
preuve généralise celle de Drinfeld en rang 2: elle consiste à réaliser la correspondance en …

In this paper we prove two new cases of Langlands functoriality. The first is a functorial
product for cusp forms on GL2 x GL3 as automorphic forms on GL6, from which we obtain …

Suppose that G is a connected reductive algebraic group over a field F. We shall always
assume that F has characteristic 0. For sections 1 and 2 we shall also take F to be a number …

This graduate-level textbook provides an elementary exposition of the theory of automorphic
representations and L-functions for the general linear group in an adelic setting. Definitions …

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 …

Functoriality is one of the most central questions in the theory of automorphic forms and
representations [1, 2, 35, 36]. Locally and globally, it is a manifestation of Langlands' …