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 …

3. Construction of Z: A (GL (2)) x A (GL (2))-+ A (GL (4)) 3.1. Relevant objects and the
strategy 3.2. Weak to strong lifting, and the cuspidality criterion 3.3. Triple product L …

Introduction. This article has two principal aims. The first is to outline a genera-lisation of
Wiles's notion ofpseudorepresentation (see [WI) and at the same time simplify it. This gives a …

Our aim is to establish some new cases of the global Langlands correspondence for GLm.
Along the way we obtain a new result on the description of the cohomology of some compact …

Let F be a totally real field, K/F a totally imaginary quadratic extension, d=[F: Q], c∈ Gal (K/F)
the non-trivial Galois automorphism. Let n be a positive integer and G= Gn be the algebraic …

An exact control theorem is proven for nearly ordinary-adic automorphic forms on symplectic
and unitary groups over totally real fields if the algebraic group is split at. In particular, a …

The purpose of this paper is to present a new integral representation of a degree eight L-
function for GSp (4) x GL (2). In principle our method always works when both forms …

In this paper we study the poles and values of the degree 5 or standard Langlands L-
function attached to an irreducible, cuspidal automorphic representation rc for the rank 2 …

0. Introduction 647 1. Automorphic vector bundles and their cohomology 652 2. Parameters
of representations with c% cohomology 657 3. Discrete series and their nondegenerate …