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To an effective local Langlands correspondence /

Let F be a non-Archimedean local field. Let \mathcal{W}_{F} be the Weil group of F and \mathcal{P}_{F} the wild inertia subgroup of \mathcal{W}_{F}. Let \widehat {\mathcal{W}}_{F} be the set of equivalence classes of irreducible smooth representations of \mathcal{W}_{F}. Let \mathcal{A}^{0}_{n}(F) d...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bushnell, Colin J. (Colin John), 1947- (Autor), Henniart, Guy (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2014.
Colección:Memoirs of the American Mathematical Society ; no. 1087.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a To an effective local Langlands correspondence /  |c Colin J. Bushnell, Guy Henniart. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 2014. 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v number 1087 
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500 |a "Volume 231, number 1087 (fourth of 5 numbers), September 2014." 
504 |a Includes bibliographical references (pages 87-88). 
505 0 |a Introduction -- Representations of Weil groups -- Simple characters and tame parameters -- Action of tame characters -- Cuspidal representations -- Algebraic induction maps -- Some properties of the Langlands correspondence -- A naïve correspondence and the Langlands correspondence -- Totally ramified representations -- Unramified automorphic induction -- Discrepancy at a prime element -- Symplectic signs -- Main theorem and examples. 
520 |a Let F be a non-Archimedean local field. Let \mathcal{W}_{F} be the Weil group of F and \mathcal{P}_{F} the wild inertia subgroup of \mathcal{W}_{F}. Let \widehat {\mathcal{W}}_{F} be the set of equivalence classes of irreducible smooth representations of \mathcal{W}_{F}. Let \mathcal{A}^{0}_{n}(F) denote the set of equivalence classes of irreducible cuspidal representations of \mathrm{GL}_{n}(F) and set \widehat {\mathrm{GL}}_{F} = \bigcup _{n\ge 1} \mathcal{A}^{0}_{n}(F). If \sigma \in \widehat {\mathcal{W}}_{F}, let ^{L}{\sigma }\in \widehat {\mathrm{GL}}_{F} be the cuspidal representation m. 
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650 6 |a Représentations de groupes. 
650 6 |a Formes automorphes. 
650 7 |a Automorphic forms  |2 fast 
650 7 |a Local fields (Algebra)  |2 fast 
650 7 |a Representations of groups  |2 fast 
700 1 |a Henniart, Guy,  |e author. 
710 2 |a American Mathematical Society,  |e publisher. 
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