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The Shimura-Waldspurger correspondence for \(\mathrm{Mp}_{2n}\) - MaRDI portal

The Shimura-Waldspurger correspondence for \(\mathrm{Mp}_{2n}\) (Q1621949)

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Language	Label	Description	Also known as
English	The Shimura-Waldspurger correspondence for \(\mathrm{Mp}_{2n}\)	scientific article

Statements

scholarly article

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The Shimura-Waldspurger correspondence for \(\mathrm{Mp}_{2n}\) (English)

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Annals of Mathematics. Second Series

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publication date

12 November 2018

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full work available at URL

https://arxiv.org/abs/1705.10106

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zbMATH Keywords

automorphic representations

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metaplectic groups

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Shimura correspondence

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theta lifts

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MaRDI profile type

MaRDI publication profile

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Lifting of characters on orthogonal and metaplectic groups

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Reductive dual pair correspondence for complex groups

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Paquets d’Arthur des groupes classiques et unitaires

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The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case

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Local theta correspondence of tempered representations and Langlands parameters

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The Langlands quotient theorem for finite central extensions of p-adic groups

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Some consequences of Arthur's work on the spectrum and topology of hyperbolic varieties

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Symmetric square \(L\)-functions on \(GL(r)\)

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Automorphic forms on covering groups of GL(2)

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Nonvanishing theorems for automorphic \(L\)-functions on \(\text{GL} (2)\)

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On the theta lift from SO2n+1 to n.

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The Saito-Kurokawa Space of PGSp4 and Its Transfer to Inner Forms

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Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups

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Formal degrees and local theta correspondence

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The Gross-Prasad conjecture and local theta correspondence

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On the irreducibility of some induced representations of real reductive Lie groups

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The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula

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Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence

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On the Howe duality conjecture in classical theta correspondence

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A proof of the Howe duality conjecture

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On a correspondence between cuspidal representations of 𝐺𝐿_{2𝑛} and 𝑆𝑝̃_{2𝑛}

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ENDOSCOPIC REPRESENTATIONS OF $\widetilde{\mathrm{Sp}}_{2n}$

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On the Decomposition of a Representation of SO<sub>n</sub> When Restricted to SO<sub>n-1</sub>

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The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)

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A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field

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Transcending Classical Invariant Theory

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On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups

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Sur un résultat de Waldspurger

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On the nonvanishing of some \(L\)-functions

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On Euler Products and the Classification of Automorphic Forms II

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The local converse theorem for \(\operatorname {SO}(2n+1)\) and applications

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On the local theta-correspondence

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A regularized Siegel-Weil formula: The first term identity

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Singular unitary representations of classical groups

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Automorphic forms with degenerate Fourier coefficients

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Transfert d’intégrales orbitales pour le groupe métaplectique

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The stable trace formula for the metaplectic group: the elliptic terms

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SPECTRAL TRANSFER FOR METAPLECTIC GROUPS. I. LOCAL CHARACTER RELATIONS

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Sur certains paquets d’Arthur et involution d’Aubert-Schneider-Stuhler généralisée

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Image of normalized intertwining operators and poles of the Eisenstein series

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Special unipotent Arthur packets with Archimedean places and Howe correspondence

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Paquets d’Arthur des groupes classiques complexes

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Howe correspondences on a \(p\)-adic field

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La conjecture locale de Gross-Prasad pour les groupes sp\'eciaux orthogonaux: le cas g\'en\'eral

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Stabilization of the twisted trace formula. Vol. 1

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Stabilization of the twisted trace formula. Vol. 2

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The fundamental lemma for Lie algebras

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Modular forms of half integral weight and the integral of certain theta-functions

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Generalised form of a conjecture of Jacquet and a local consequence

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On some explicit formulas in the theory of Weil representation

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Endoscopy for Mp(2 n , [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /])

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Periods and harmonic analysis on spherical varieties

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Lifting of generic depth zero representations of classical groups

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The local Langlands correspondence for \(\mathrm{GL}_n\) over \(p\)-adic fields

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On Certain L-Functions

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A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups

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L-indistinguishability for real groups

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Tempered endoscopy for real groups III: Inversion of transfer and 𝐿-packet structure

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On modular forms of half integral weight

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On construction of holomorphic cusp forms of half integral weight

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Reducibility of generalized principal series representations

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Dual pairs and contragredients of irreducible representations

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Conservation relations for local theta correspondence

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Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)

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Representations of real reductive Lie groups

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Shimura and Shintani correspondences

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Correspondances de Shimura et quaternions

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On Mœglin's Parametrization of Arthur Packets for p-adic Quasisplit <i>S<sub>p</sub></i>(<i>N</i>) and <i>SO</i>(<i>N</i>)

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\(L\)-functions and theta correspondence for classical groups

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Identifiers

zbMATH Open document ID

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10.4007/annals.2018.188.3.5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1621949

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