Dmodules and automorphic induction
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 ... 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 ...
Dmodules and automorphic induction
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WebDRINFELD MODULI SCHEMES AND AUTOMORPHIC FORMS 3 Introduction Let F be a geometric global eld, of characteristic p>0, A its ring of ad eles, G= GL(r) and ˇan … 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 – …
WebDear 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 … 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 .
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 … WebCM, i.e., is not the automorphic induction of an algebraic Hecke character from a quadratic CM extension. Let n 1 be an integer. Then the nth symmetric power lifting of ˇexists, in the following sense. There exists an RAESDC automorphic representation ( ; ) of GL n+1(A F) such that for any isomorphism : Q l ˘=C, there is an isomorphism of ...
WebThe Hodge-Tate period map is an important, new tool for studying the geometry of Shimura varieties, p-adic automorphic forms and torsion classes in the cohomology of Shimura varieties. It is a G (A_f)-equivariant map from a perfectoid Shimura variety into a flag variety with only an action of G (Q_p) and can be thought of as a p-adic analogue ...
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 … bowling event posterWebIntroductory lectures on automorphic forms Lectures for the European School of Group Theory July, 2001, Luminy, France by Nolan R. Wallach 1 Orbital integrals and the … bowling evergreen coloradoWebChapter 2: Automorphic forms and Representations of GL(2;R) In this chapter we study the representation theory of G := GL(2;R)+ or GL(2;R) and its connection with automorphic forms on the upper half plane. The rst manifestation of this inter-action comes from observing that the L2-spaces of automorphic forms of level and that of the bowling event inviteWebforms via base change and automorphic induction. In a few cases these constructions have already been made, as a consequence of a lot of work([1], for example). The local and global compatibility of ... Kisin’s work on the Dieudonn e module associated to a p-adic modular form, and will no doubt have other applications. gummischuhe clogsWebMay 1, 2010 · That gives a process of “automorphic induction” which to an irreducible (g,K)- module τ for GL(n,C) associates an irreducible (g,K)-module π = τ C/R for GL(2n,R). In the present paper we show that if τ is unitary and generic then π is determined by τ, up to isomorphism, via a character identity entirely analogous to the character ... bowling event singaporeWebMonoidal Structures on GLp2q-Modules and Abstractly Automorphic Representations Gal Dor Tel-Aviv University March 04, 2024 1/24. Introduction p-adic reps GJ vs. JL Monoidal structure Apology Global theory ... Compact induction of SpM 2pFqqfrom GL 2pFq3;det 1 to GL 2pFq3 gives Y. 11/24. gummishop24WebNov 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, … bowling evolution 1.06