Výsledky vyhledávání - "Guy, Henniart"

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Representations of $GL_n(D)$ near the identity

Autor: Guy, Henniart, Marie-France, Vignéras

For a central division algebra $D$ of dimension $d^2$ over a finite extension $F$ of $\mathbb Q_p$ or of $\mathbb F_p((t))$, a field $R$ of characteristic prime to $p$, and an irreducible smooth $R$-representation $\pi$ of $G=GL_n(D)$, we show that f

Externí odkaz: http://arxiv.org/abs/2305.06581

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Multiplicités modulaires et représentations de ${\rm GL}\sb 2(\mathbf {Z}\sb p)$ et de ${\rm Gal}(\overline {\mathbf {Q}}\sb p/\mathbf {Q}\sb p)$ en $\ell=p$. Appendice par Guy Henniart. Sur l'unicité des types pour ${\rm GL}\sb 2$

Autor: Christophe Breuil, Ariane Mézard

Publikováno v: Duke Math. J. 115, no. 2 (2002), 205-310

We formulate a conjecture giving a link between the various rings parametrizing the $2$-dimensional potentially semistable $p$-adic representations of ${\rm Gal}(\overline {\mathbf {Q}}\sb p/\mathbf {Q}\sb p)$ with Hodge-Tate weights $(0,k-1)(k\in \m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fda14a6d4f1423185dfde3499f649bec
https://doi.org/10.1215/s0012-7094-02-11522-1

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Comparison of compact induction with parabolic induction

Autor: Guy, Henniart, Marie-France, Vigneras

Let $F$ be any non archimedean locally compact field of residual characteristic $p$, let $G$ be any reductive connected $F$-group and let $K$ be any special parahoric subgroup of $G(F)$. We choose a parabolic $F$-subgroup $P$ of $G$ with Levi decompo

Externí odkaz: http://arxiv.org/abs/1111.7276

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Asai cube L-functions and the local Langlands correspondence

Autor: Luis Lomelí, Guy Henniart

Publikováno v: Journal of Number Theory. 221:247-269

Let F be a non-archimedean locally compact field. We study a class of Langlands-Shahidi pairs ( H , L ) , consisting of a quasi-split connected reductive group H over F and a Levi subgroup L which is closely related to a product of restriction of sca

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f677c0f586b07ddd78906383ff663cbc
https://doi.org/10.1016/j.jnt.2020.05.023

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Tame multiplicity and conductor for local Galois representations

Autor: Colin J. Bushnell, Guy Henniart

Publikováno v: Tunisian J. Math. 2, no. 2 (2020), 337-357

Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$. Let $\sigma$ be an irreducible smooth representation of the absolute Weil group $\Cal W_F$ of $F$ and $\sw(\sigma)$ the Swan exponent of $\sigma$. Assume $\sw(\sigma)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe7c05b77c132fcc55fa148c8b5f9748
https://doi.org/10.2140/tunis.2020.2.337

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Local Langlands correspondence and ramification for Carayol representations

Autor: Colin J. Bushnell, Guy Henniart

Publikováno v: Compositio Mathematica. 155:1959-2038

Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$ with Weil group $\Cal W_F$. Let $\sigma$ be an irreducible smooth complex representation of $\Cal W_F$, realized as the Langlands parameter of an irreducible cuspidal r

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5086a4ee2997c2dcfeb4e61a6d6c213b
https://doi.org/10.1112/s0010437x19007449

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Representations of a reductive $p$-adic group in characteristic distinct from $p$

Autor: Guy Henniart, Marie-France Vignéras

We investigate the irreducible cuspidal $C$-representations of a reductive $p$-adic group $G$ over a field $C$ of characteristic different from $p$. When $C$ is algebraically closed, for many groups $G$, a list of cuspidal $C$-types $(J,\lambda)$ has

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68490b614ce6b804c35b0ae1b9ba4257
http://arxiv.org/abs/2010.06462

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A classification of irreducible admissible mod 𝑝 representations of 𝑝-adic reductive groups

Autor: Guy Henniart, Noriyuki Abe, Florian Herzig, Marie-France Vigneras

Publikováno v: Journal of the American Mathematical Society. 30:495-559

Let F be a locally compact non-archimedean field, p its residue characteristic, and G a connected reductive group over F. Let C an algebraically closed field of characteristic p. We give a complete classification of irreducible admissible C-represent

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3bab513364620e28c8ec3053cebd9773
https://doi.org/10.1090/jams/862

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Explicit local Jacquet-Langlands correspondence: the non-dyadic wild case

Autor: Guy Henniart, Colin J. Bushnell

Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$ with $p\neq 2$. Let $n$ be a power of $p$ and let $G$ be an inner form of the general linear group $\text{\rm GL}_n(F)$. We give a transparent parametrization of the ir

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f98b20db3cfd22b5c3bdf2b2eb28363

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