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pro vyhledávání: '"Colette Mœglin"'
Autor:
Colette Moeglin, David Renard
Publikováno v:
Journal of the European Mathematical Society. 22:1827-1892
This article is part of a project which consists of investigating Arthur packets for real classical groups. Our goal is to give an explicit description of these packets and to establish the multiplicity one property (which is known to hold for $p$-ad
Autor:
David Renard, Colette Moeglin
Publikováno v:
Nagoya Mathematical Journal. 241:44-124
Soit $\unicode[STIX]{x1D70B}$ un module de plus haut poids unitaire du groupe $G=\mathbf{Sp}(2n,\mathbb{R})$. On s’intéresse aux paquets d’Arthur contenant $\unicode[STIX]{x1D70B}$. Lorsque le plus haut poids est scalaire, on détermine les para
Publikováno v:
Annales de la Faculté des sciences de Toulouse : Mathématiques. 27:1023-1105
Let $G=\mathbf{G}(\mathbb{R})$ be the group of real points of a quasi-split connected reductive algebraic group defined over $\mathbb{R}$. Assume furthermore that $G$ is a classical group (symplectic, special orthogonal or unitary). We show that the
Autor:
Colette Moeglin, David Renard
Publikováno v:
Around Langlands Correspondences. :203-256
Publikováno v:
Inventiones mathematicae. 208:501-552
We prove the Noether-Lefschetz conjecture on the moduli space of quasi-polarized K3 surfaces. This is deduced as a particular case of a general theorem that states that low degree cohomology classes of arithmetic manifolds of orthogonal type are dual
Autor:
Colette Mœglin, David Renard
We give an explicit construction of Arthur packets for real unitary groups by cohomological and parabolic induction and following an idea communicated to us by P. Trapa, we show that they satisfy the multiplicity one property. In particular, we show
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c0ac5d16b44daa0e5776789680342d0
https://hal.archives-ouvertes.fr/hal-01769614
https://hal.archives-ouvertes.fr/hal-01769614
Autor:
Colette Mœglin, J.-L. Waldspurger
A note to readers: This book is in French. The text has two chapters. The first one, written by Waldspurger, proves a twisted version of the local trace formula of Arthur over a local field. This formula is an equality between two expressions, one in
Autor:
David Renard, Colette Moeglin
Publikováno v:
Lecture Notes in Mathematics ISBN: 9783319952307
We extend to non quasi-split orthogonal and unitary groups over a local field some results of J. Arthur and the first author established in the quasi-split case. In particular, we obtain a full Langlands classification for tempered representations in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::391a24c6e0fcb0b04d944299cd42c67f
https://doi.org/10.1007/978-3-319-95231-4_8
https://doi.org/10.1007/978-3-319-95231-4_8
Autor:
Colette Moeglin, David Renard
Publikováno v:
Simons Symposia ISBN: 9783319948324
This article is part of a project which aims to describe as explicitly as possible the Arthur packets of classical real groups and to prove a multiplicity one result for them. Let G be a symplectic or special orthogonal real group, and \(\psi : W_{\m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f32f511fc83d9cd168e227e436be1d11
https://doi.org/10.1007/978-3-319-94833-1_10
https://doi.org/10.1007/978-3-319-94833-1_10
Autor:
Colette Mœglin, Jean-Loup Waldspurger
Publikováno v:
Memoirs of the American Mathematical Society. 251
Introduction On se propose de generaliser au cas tordu les resultats d’Arthur contenus dans les articles [A1] et [A7]. Soient F un corps local, G un groupe reductif connexe defini sur F et G un espace tordu sur G, au sens de Labesse (cf. 2.1). Nous