WorldCat Identities

Tilouine, Jacques

Overview
Works: 23 works in 72 publications in 2 languages and 610 library holdings
Roles: Author, Editor, Thesis advisor, 956, Opponent
Classifications: QA353.A9, 512.73
Publication Timeline
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Most widely held works by Jacques Tilouine
Formes automorphes by Centre Émile Borel( Book )

21 editions published in 2005 in English and French and held by 173 WorldCat member libraries worldwide

This volume is the first of a series of two devoted to automorphic forms from a geometric and arithmetic point of view. They also deal with certain parts of the Langlands program. The themes treated in this volume include /p/-adic modular forms, the local Langlands correspondence for /GL(n)/, the cohomology of Shimura varieties, their reduction modulo /p/, and their stratification by Newton polygons. The book is suitable for graduate students and research mathematicians interested in number theory, algebra, and algebraic geometry
Cohomology of Siegel varieties by Abdellah Mokrane( Book )

8 editions published in 2002 in English and French and held by 172 WorldCat member libraries worldwide

Formes automorphes by Institut Henri Poincaré( Book )

15 editions published in 2005 in French and English and held by 136 WorldCat member libraries worldwide

Ce volume fait suite au volume 298 consacré aux Formes Automorphes. Il traite un sujet plus restreint que le précédent puisqu'il est exclusivement consacré aux représentations automorphes pour le groupe GSp(4), la plupart du temps sur le corps des rationnels. Il traite de questions géométriques (cohomologie des variétés de Siegel), arithmétiques (construction et étude des représentations galoisiennes associées aux formes cuspidales cohomologiques) et d'analyse harmonique (lemme fondamental tordu avec poids). Toutes ces questions avaient été évoquées plus ou moins directement lors du Semestre Automorphe de Paris en 2000, mais il s'agit en général de développements ultérieurs au Semestre lui-même
Deformations of Galois representations and Hecke algebras by Jacques Tilouine( Book )

4 editions published in 1996 in English and held by 62 WorldCat member libraries worldwide

Closed orbits in homology classes by Atsushi Katsuda( Book )

1 edition published in 1990 in French and held by 5 WorldCat member libraries worldwide

Autour de la conjecture principale anticyclotomique by Jacques Tilouine( Book )

2 editions published in 1989 in French and held by 4 WorldCat member libraries worldwide

Autour de la conjoncture principale anticyclotomique Le théorème de Donagi : Torelli générique pour les hypersurfaces by Jacques Tilouine( Book )

1 edition published in 1989 in French and held by 3 WorldCat member libraries worldwide

Actes du semestre du Centre Emile Borel printemps 2000( Book )

1 edition published in 2005 in English and held by 3 WorldCat member libraries worldwide

Fonctions L P-adiques a deux variables et Z indice P puissance 2-extensions by Jacques Tilouine( Book )

1 edition published in 1983 in French and held by 3 WorldCat member libraries worldwide

Several variable p-adic families of Siegel-Hilbert cusp eigensystems and their Galois representations by Jacques Tilouine( Book )

2 editions published in 1997 in English and held by 2 WorldCat member libraries worldwide

Cohomology of Siegel varieties with p-adic integral coefficients and applications by Abdellah Mokrane( Book )

2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide

Deformations of Siegel-Hilbert Hecke eigensystems and their Galois representations by Jacques Tilouine( Book )

1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide

Sur la conjecture principale pour les corps CM by Fabio Mainardi( Book )

1 edition published in 2004 in French and held by 1 WorldCat member library worldwide

[Résumé français]Nous démontrons un résultat partiel dans la direction de la conjecture principale de la théorie de Iwasawa pour les corps CM. La méthode que nous employons est d'associer au module d'Iwasawa d'un corps CM une série d'Eisenstein pour le groupe unitaire GU (2,1). Le terme constant de cette série est le produit de deux valeurs spéciales de fonctions L de Hecke, l'une sur le corps CM et l'autre sur le sous-corps totalement réel. Nous introduisons un idéal Eis, dans l'algèbre de Iwasawa A en 1+d+ variables, supposé controler les congruences entre la série d'Einsenstein et les formes cuspidales. Nous démontrons ici que Eis divise l'idéal caractèristique du module d'Iwasawa, hors un ensemble de premiers de A de hauteur 1. Une partie de ce travail est consacrée à l'étude arithmètique de la série d'Eisenstein, à son interpolation A-dique et à sa réduction modulo son terme constant. On étudie aussi quelques propriétés des représentatioins galoisiennes associées aux formes automorphes sur GU (2,1)
p-adic aspects of modular forms( Book )

3 editions published in 2016 in English and held by 1 WorldCat member library worldwide

"The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied. We first look at p-adic families in the following cases: general linear groups, symplectic groups and definite unitary groups. We also look at applications of this theory to modularity lifting problems. We finally consider p-adic L-functions for GL(2), the p-adic adjoint L-functions and some cases of higher GL(n).Contents:An Overview of Serre's p-Adic Modular Forms (Miljan Brakočević and R Sujatha)p-Adic Families of Ordinary Siegel Cusp Forms (Jacques Tilouine)Ordinary Families of Automorphic Forms on Definite Unitary Groups (Baskar Balasubramanyam and Dipramit Majumdar)Notes on Modularity Lifting in the Ordinary Case (David Geraghty)p-Adic L-Functions for Hilbert Modular Forms (Mladen Dimitrov)Arithmetic of Adjoint L-Values (Haruzo Hida)p-Adic L-Functions for GLn (Debargha Banerjee and A Raghuram)Non-Triviality of Generalised Heegner Cycles Over Anticyclotomic Towers: A Survey (Ashay A Burungale)The Euler System of Heegner Points and p-Adic L-Functions (Ming-Lun Hsieh)Non-Commutative q-Expansions (Mahesh Kakde)Readership: Researchers in algebra and number theory.Key Features:Articles by some of the foremost experts in the fieldIncludes down-to-earth exposition of the p-adic arithmetic theory to initiate learning by graduate studentsContains cutting-edge material for professional researchers."
Arithmétique des variétés de Siegel by Vincent Pilloni( Book )

1 edition published in 2009 in French and held by 1 WorldCat member library worldwide

Par une étude détaillée de la géométrie p-adique des variétés de Siegel, de leurs correspondances de Hecke en p et de leurs sous-groupes canoniques, nous reprenons et complétons la théorie de Hida des formes de Siegel p-adiques ordinaires de genre g supérieur ou égal à 1. Nous réalisons également, en genre 2 et sous certaines hypothèses, le prolongement analytique des formes surconvergentes et en déduisons leur classicité. Enfin, à l'aide de ces résultats et en appliquant la méthode des systèmes de Taylor-Wiles, nous obtenons de nouveaux cas de modularité pour des représentations galoisiennes p-adiques symplectiques de degré 4. Ceci s'applique en particulier à certaines surfaces abeliennes ayant bonne réduction ordinaire en p
Groupes de cohomologie de courbes de Shimura et algebre de Hecke quaternioniques entieres by Lea Terracini( Book )

1 edition published in 1998 in French and held by 1 WorldCat member library worldwide

NOUS ETUDIONS QUELQUES PROPRIETES DE LA COHOMOLOGIE ENTIERE P-ADIQUE DES COURBES DE SHIMURA ASSOCIEES A UNE ALGEBRE DE QUATERNIONS B, INDEFINIE SUR Q, DE DISCRIMINANT DIVISIBLE PAR P, ET D'UNE ALGEBRE DE HECKE AGISSANT DESSUS FIDELEMENT. DANS LE CHAPITRE 1, POUR UN SOUS-GROUPE COMPACT OUVERT U DE B#X#,##A, MAXIMAL AUX PREMIERS = P QUI DIVISENT ET DE NIVEAU FIXE EN DEHORS, ON CONSTRUIT L'ESPACE DES FORMES AUTOMORPHES ET UNE ALGEBRE D'OPERATEURS DE HECKE SUR CET ESPACE. POUR UN CORPS P-ADIQUE K ASSEZ GRAND, CETTE ALGEBRE AGIT FIDELEMENT SUR L'ESPACE COHOMOLOGIQUE H#1(X(U), $L(N,K)), OU X(U) EST LA COURBE DE SHIMURA (ADELIQUE) ASSOCIEE A U. LA CORRESPONDANCE DE JACQUET-LANGLANDS MONTRE QUE L'ALGEBRE DE HECKE QUATERNIONIQUE EST UN QUOTIENT D'UNE ALGEBRE DE HECKE CLASSIQUE (PRIVEE DE L'OPERATEUR T#P). DANS LE CHAPITRE 2, ON PROUVE L'INDEPENDANCE DU POIDS DE LA LIMITE PROJECTIVE TOPOLOGIQUE DES ALGEBRES DE HECKE DE NIVEAU VARIABLE EN P. DANS LE CHAPITRE 3, ON FIXE UN CARACTERE REGULIER DE F#X#P#2 D'ORDRE P1, UNE FORME QUATERNIONIQUE F DE POIDS 2. NEBENTYPUS TRIVIAL, SUPERCUSPIDALE DE TYPE EN P ET SPECIALE AUX PLACES = P DIVISANT LE NIVEAU. SOIT T LA COMPOSANTE LOCALE DE L'ALGEBRE DE HECKE DE TYPE EN P ASSOCIEE A F. LA FORME F INTERVIENT DANS UN MODULE DE COHOMOLOGIE QUATERNIONIQUE M SUR LEQUEL T AGIT FIDELEMENT. EN UTILISANT UN SYSTEME DE TAYLOR-WILES QUATERNIONIQUE, NOUS PROUVONS QUE T EST L'OBJET UNIVERSEL D'UN PROBLEME DE DEFORMATION (DE TYPE EN P ET SEMI-STABLE EN DEHORS) DE LA REPRESENTATION RESIDUELLE ASSOCIEE A F, QUE T EST INTERSECTION COMPLETE ET QUE LE MODULE M EST LIBRE DE RANG 2 SUR T. ON EN DEDUIT L'EGALITE DES MODULES DE CONGRUENCE QUATERNIONIQUE ET ARITHMETIQUE DE TYPE POUR F
Nearly ordinary rank four Galois representations and p-adic Siegel modular forms by Jacques Tilouine( )

1 edition published in 2006 in Undetermined and held by 1 WorldCat member library worldwide

This paper is devoted to the proof of two results. The first was conjectured in 1994 by the author. It concerns the identity, under certain assumptions, of the universal deformation ring of p-nearly ordinary Galois representations and a local component of the universal nearly ordinary Hecke algebra in the sense of Hida. The other, which relies on the first, concerns the modularity of certain abelian surfaces. More precisely, one can associate to certain irreducible abelian surfaces defined over the rationals overconvergent p-adic cusp eigenforms. The question of whether these forms are classical is not studied in this paper
Formes modulaires p-adiques sur les courbes de Shimura unitaires et compatibilité local-global by Yiwen Ding( )

1 edition published in 2015 in French and held by 1 WorldCat member library worldwide

The subject of this thesis is in the p-adic Langlands programme. Let L be a finite extension of \Q_p, \rho_L a 2-dimensional p-adic representation of the Galois group \Gal(\overline{\Q_p}/L) of L, if \rho_L is the restriction of a global modular Galois representation \rho (i.e. \rho appears in the étale cohomology of Shimura curves), one can associate to \rho an admissible Banach representation \widehat{\Pi}(\rho) of \GL_2(L) by using Emerton's completed cohomology theory. Locally, if \rho_L is crystalline (and sufficiently generic), following Breuil, one can associate to \rho_L a locally analytic representation \Pi(\rho_L) of \GL_2(L). In this thesis, we prove results on the compatibility of \widehat{\Pi}(\rho) and \Pi(\rho_L), called local-global compatibility, in the unitary Shimura curves case. By locally analytic representations theory (for \GL_2(L)), the problem of local-global compatibility can be reduced to the study of eigenvarieties X constructed from the completed H^1 of unitary Shimura curves. We prove results on local-global compatibility in non-critical case by using global triangulation theory. We also study the p-adic modular forms over unitary Shimura curves, from which we construct some closed rigid subspaces of X by Coleman-Mazur's method. We prove the existence of overconvergent companion forms (over unitary Shimura curves) by using p-adic comparison theorems, from which we deduce some results on local-global compatibility in critical case
Formes automorphes : actes du Semestre du Centre Émile Borel by Francia) Centre Émile Borel (Paris( Book )

in French and held by 1 WorldCat member library worldwide

 
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Audience level: 0.76 (from 0.56 for Nearly ord ... to 0.99 for Formes mod ...)

Alternative Names
Tilouine, J.

Tilouine, J. (Jacques)

Languages
English (41)

French (27)