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Dmodules and automorphic induction

WebALGEBRAIC D-MODULES AND REPRESENTATION THEORY 135 consider the adjoint action of Gon g, the trivial bundle X× g is G-homogeneous and the morphism X×g −→ … WebOct 20, 2024 · This is a survey of recent work on values of Rankin-Selberg L-functions of pairs of cohomological automorphic representations that are critical in Deligne’s sense. The base field is assumed to be a CM field. Deligne’s conjecture is stated in the language of motives over \(\mathbb{Q}\), and expresses the critical values, up to rational factors, as …

Automorphic Forms and Automorphic Vector Bundles

WebIn mathematics, a D-module is a module over a ring D of differential operators.The major interest of such D-modules is as an approach to the theory of linear partial differential … WebLet K be a quadratic imaginary field. Let Π (resp. Π1) be a regular algebraic cuspidal representation of GLnpAKq (resp. GLn ́1pAKq) which is moreover cohomological and conjugate self-dual. When Π is a cyclic automorphic induction of a Hecke character χ over a CM field, we show relations between automorphic periods of Π defined by Harris and … crm cdhu https://creafleurs-latelier.com

RAMIFIED AUTOMORPHIC INDUCTION AND ZERO …

WebNov 1, 2024 · Using Langlands functoriality and automorphic induction, it gives an automorphic cuspidal representation of GL 2 (A Q). The relation between the automorphic representations of GL 2 (A Q) and the cuspidal cohomology of GL 2 can be described in terms of the sheaf M ˜ μ associated to the highest weight representation M μ of GL (2, … WebDrinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the author’s original work establishing the correspondence between ell-adic rank r Galois … WebGLp2q-Modules and Applications to Automorphic Representations Gal Dor Tel-Aviv University July 01, 2024 1/22. Introduction p-adic representations GJ vs. JL Monoidal structure Apology Global theory Introduction L-functions are important objects. When the L-functions are equal: get deep connections across crmc choice shifts

duality theorems - Dual of module isomorphic to module itself ...

Category:PERIOD RELATIONS FOR AUTOMORPHIC INDUCTION …

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Dmodules and automorphic induction

DRINFELD MODULI SCHEMES AND AUTOMORPHIC …

WebIt is conjectured that an automorphic representation of GL n associated to K induces an automorphic representation of GL r n associated to F. The book by Arthur and Clozel … http://faculty.bicmr.pku.edu.cn/~lxiao/2024spring/Notes9-Lu.pdf

Dmodules and automorphic induction

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WebMay 1, 2024 · Automorphic induction of class group characters. Let K / Q be a degree n extension. Let χ be a non-trivial Hecke character of K, and let I K Q χ be the automorphic induction. Since χ is non-trivial, L (s, χ) = L (s, I K Q χ) is entire. However, the automorphy of I K Q χ is proved only in certain cases, namely, it is an automorphic ... Webalgebra for GLn over CM fields without needing to assume automorphic induction of characters for the extension K/Q. For this methods of potential automorphy results are used. Contents. 1. Introduction. 1.1. Notation. 2. Preliminaries in commutative algebra. 2.1. Change of coefficients. 2.2. Minimal complexes and the derived category. 2.3 ...

WebDrinfeld modules. G. W. Anderson [1] saw correctly how to develop the theory of higher dimensional Drinfeld modules, called t-modules, and at the same time produced a … WebOct 17, 2024 · quasi-tempered automorphic d-modules 3 consisting of elements ℱ P 𝐷 p Bun 𝐺 q such that if p 𝒫 , 𝜑 q lies in the singular support of ℱ , then 𝜑 factors through z p g q Ď g .

WebAug 19, 2024 · The existence of (non-zero) such residues is determined by the analytic behavior of the Eisenstein series at \nu =\nu _0, which is closely related to the analytic behavior of the automorphic L -functions in its constant term, according to the Langlands–Shahidi method [ 4, 10, 19, 20 ]. Webfor the automorphic induction exists for generic cuspidal automorphic representations. By using this automorphic induction, we give a con-jectural criterion on the existence of poles of L(s;ˇ;^3 ˜) for discrete automorphic representations in the tempered spectrum. Contents 1. Introduction2 2. Integral representation5 2.1. Global zeta ...

WebOct 20, 2014 · 27.5.3 Harish-Chandra modules. 27.6 Representations of l-groups: the Hecke algebra. 28 Automorphic forms and the Hecke algebra. 28.1 The case of SL 2 – …

WebApr 1, 2006 · The basics of the theory of Hilbert Q-modules are established. Using this approach to V-semilattices with a duality i.e. Hilbert 2-modules, we describe a nuclear traced ideal and characterize ... buffalo race track resultsbuffalo races near meWebLet K be a quadratic imaginary field. Let Π (resp. Π1) be a regular algebraic cuspidal representation of GLnpAKq (resp. GLn ́1pAKq) which is moreover cohomological and … crm cdk sign inWebDual module. In mathematics, the dual module of a left (respectively right) module M over a ring R is the set of module homomorphisms from M to R with the pointwise right … buffalo race replaysWebNov 25, 2003 · An example of non-normal quintic automorphic induction and modularity of symmetric powers of cusp forms of icosahedral type Henry H. Kim 1 Inventiones mathematicae volume 156 , pages 495–502 ( 2004 ) Cite this article buffalo raceway entriesWebDear all, I try to understand the base-change and automorphic-induction in the theory of automorphic forms, for the simplest case: G L 1. Both are implied by Langlands … crm centrix oneWebNov 26, 2024 · A D-module (introduced by Mikio Sato) is a sheaf of modules over the sheaf D_X of regular differential operators on a ‘variety’ X (the latter notion depends on … crm cellecor in