Endoscopic transfer and automorphic L-functions: the case of the general spin group and the twisted symmetric and exterior square L-functions
N Grbac - Rad Hrvatske akademije znanosti i umjetnosti …, 2024 - hrcak.srce.hr
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 …
approaches to the discrete spectrum of the group of adèlic points of a reductive linear …
Eisenstein series and the top degree cohomology of arithmetic subgroups of SLn/ℚ
J Schwermer - Journal für die reine und angewandte Mathematik …, 2021 - degruyter.com
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 …
linear ℚ-group 𝖦= SL n may be interpreted in terms of the automorphic spectrum of Γ. Within …
A construction of residues of Eisenstein series and related square-integrable classes in the cohomology of arithmetic groups of low k-rank
N Grbac, J Schwermer - Forum mathematicum, 2019 - degruyter.com
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 …
group defined over a number field is captured in the automorphic cohomology of that group …
On the central value of Rankin -functions for self-dual algebraic representations of linear groups over totally real fields
L Clozel, A Kret - arXiv preprint arXiv:2306.05049, 2023 - arxiv.org
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 …
$ L $-functions of (Grothendieck) motives over a number field $ F $. Given the conjectural …
Eisenstein series for rank one unitary groups and some cohomological applications
N Grbac, J Schwermer - Advances in mathematics, 2021 - Elsevier
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 …
group U is only quasi-split over Q if and only if n= 1, 2. The cohomology of a congruence …
Eisenstein Cohomology and Automorphic L-Functions
N Grbac - Cohomology of Arithmetic Groups: On the Occasion of …, 2018 - Springer
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 …
Schwermer, we have carefully studied the non-vanishing conditions for certain summands in …