Let $\Pi $ be a cohomological cuspidal automorphic representation of ${\rm GL} _ {2n}(\Bbb
{A}) $ over a totally real number field $ F $. Suppose that $\Pi $ has a Shalika model. We …

Residues of Eisenstein series and the automorphic cohomology of reductive groups Page 1
COMPOSITIO MATHEMATICA Residues of Eisenstein series and the automorphic …

The Franke filtration is a finite filtration of the space of automorphic forms on a connected
reductive linear algebraic group defined over an algebraic number field. The main feature of …

In this paper we study the existence of ghost classes in the cohomology of the Shimura
variety associated to the group of symplectic similitudes $ GSp_4 $. The existence of ghost …

Sažetak The endoscopic classification and the Langlands spectral theory are two
approaches to the discrete spectrum of the group of adèlic points of a reductive linear …

Abstract In his famous paper [11], J. Franke has defined a certain finite filtration of the space
of automorphic forms of a general reductive group, which captures most of its internal …

The cohomology of an arithmetic congruence subgroup of a connected reductive algebraic
group defined over a number field is captured in the automorphic cohomology of that group …

Let U/Q be a unitary group of Q-rank one so that the group of real points U (R)≅ U (n, 1). The
group U is only quasi-split over Q if and only if n= 1, 2. The cohomology of a congruence …

The present thesis provides a survey of results and techniques from the Langlands program
which allow for the computation of the ℓ-adic cohomology of local systems on Shimura …

During the past ten years of the most inspiring and very fruitful collaboration with Joachim
Schwermer, we have carefully studied the non-vanishing conditions for certain summands in …