[图书][B] The Endoscopic classification of representations orthogonal and symplectic groups
J Arthur - 2013 - books.google.com
Within the Langlands program, endoscopy is a fundamental process for relating
automorphic representations of one group with those of another. In this book, Arthur …
automorphic representations of one group with those of another. In this book, Arthur …
Sato–Tate theorem for families and low-lying zeros of automorphic -functions: With appendices by Robert Kottwitz [A] and by Raf Cluckers, Julia Gordon, and …
SW Shin, N Templier - Inventiones mathematicae, 2016 - Springer
We consider certain families of automorphic representations over number fields arising from
the principle of functoriality of Langlands. Let GG be a reductive group over a number field …
the principle of functoriality of Langlands. Let GG be a reductive group over a number field …
[图书][B] Galois cohomology and class field theory
D Harari - 2020 - Springer
The tools from Galois cohomology play a fundamental role in modern number theory. They
contribute to a better understanding of the Galois group of a local or a number field, which …
contribute to a better understanding of the Galois group of a local or a number field, which …
Automorphic Plancherel density theorem
SW Shin - Israel Journal of Mathematics, 2012 - Springer
Let F be a totally real field, G a connected reductive group over F, and S a finite set of finite
places of F. Assume that G (F⊗ ℚ ℝ) has a discrete series representation. Building upon …
places of F. Assume that G (F⊗ ℚ ℝ) has a discrete series representation. Building upon …
[图书][B] Level one algebraic cusp forms of classical groups of small rank
G Chenevier, D Renard - 2015 - ams.org
We determine the number of level $1 $, polarized, algebraic regular, cuspidal automorphic
representations of $\textrm {GL} _n $ over $\mathbb {Q} $ of any given infinitesimal …
representations of $\textrm {GL} _n $ over $\mathbb {Q} $ of any given infinitesimal …
[图书][B] On the cohomology of certain non-compact Shimura varieties (AM-173)
S Morel - 2010 - books.google.com
This book studies the intersection cohomology of the Shimura varieties associated to unitary
groups of any rank over Q. In general, these varieties are not compact. The intersection …
groups of any rank over Q. In general, these varieties are not compact. The intersection …
The sign of Galois representations attached to automorphic forms for unitary groups
J Bellaïche, G Chenevier - Compositio Mathematica, 2011 - cambridge.org
Let K be a CM number field and GK its absolute Galois group. A representation of GK is said
to be polarized if it is isomorphic to the contragredient of its outer complex conjugate, up to a …
to be polarized if it is isomorphic to the contragredient of its outer complex conjugate, up to a …
Galois representations for general symplectic groups
A Kret, SW Shin - arXiv preprint arXiv:1609.04223, 2016 - arxiv.org
We prove the existence of GSpin-valued Galois representations corresponding to
cohomological cuspidal automorphic representations of general symplectic groups over …
cohomological cuspidal automorphic representations of general symplectic groups over …
Paquets d'Arthur des groupes classiques et unitaires
N Arancibia, C Mœglin, D Renard - … de la Faculté des sciences de …, 2018 - numdam.org
Soit G= G (ℝ) le groupe des points réels d'un groupe algébrique connexe réductif quasi-
déployé défini sur ℝ. Supposons de plus que G soit un groupe classique (symplectique …
déployé défini sur ℝ. Supposons de plus que G soit un groupe classique (symplectique …
Quelques conséquences des travaux d'Arthur pour le spectre et la topologie des variétés hyperboliques
N Bergeron, L Clozel - Inventiones mathematicae, 2013 - Springer
Résumé En nous basant sur les résultats d'Arthur (http://www. claymath. org/cw/arthur/,
2011)(annoncés dans Arthur in Harmonic Analysis, the Trace Formula, and Shimura …
2011)(annoncés dans Arthur in Harmonic Analysis, the Trace Formula, and Shimura …