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

For the split symplectic and special orthogonal groups over a number field, we decompose
the part of the residual spectrum supported in the maximal parabolic subgroup with the Levi …

Sažetak The Franke filtration is a finite filtration of certain spaces of automorphic forms on
the adèlic points of a reductive linear algebraic group defined over a number field whose …

Let k be a totally real algebraic number field, and let D be a central division algebra of
degree d over k. The connected reductive algebraic k-group GL (2, D)∕ k has k-rank one; it …

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 The cohomology H*⁢(Γ, E) of a torsion-free arithmetic subgroup Γ of the special
linear ℚ-group 𝖦= SL n may be interpreted in terms of the automorphic spectrum of Γ. Within …

The automorphic cohomology of a reductive ℚ-group G, defined in terms of the automorphic
spectrum of G, captures essential analytic aspects of the arithmetic subgroups of G and their …

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 …

Deligne has formulated extremely influential conjectures about certain special values of the
$ L $-functions of (Grothendieck) motives over a number field $ F $. Given the conjectural …

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 …