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
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