| Description |
1 online resource (394 pages) |
| Series |
Contemporary Mathematics ; v. 691 |
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Contemporary Mathematics
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| Contents |
Cover; Title page; Contents; Preface; Change of weight theorem for pro- -Iwahori Hecke algebras; 1. Introduction; 2. Change of weight theorem; 3. Description of "compact induction" for pro- -Iwahori Hecke algebra; 4. Change of weight theorem for ℋ; 5. Relation with Satake transform; References; Conjectures about -adic groups and their noncommutative geometry; Introduction; 1. The local Langlands correspondence; 2. The smooth dual of a reductive -adic group; 3. Reduction to the supercuspidal case; 4. Topological K-theory; References; Introduction to the Rapid Decay property |
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Overview of the situation1. Short historical survey and applications; 2. Basic definitions; 3. The case =\Z; 4. Equivalent definitions of property RD; References; A second adjoint theorem for \SL(2,ℝ); 1. Introduction; 2. Categories of \SF-representations; 3. Tempered representations; 4. Parabolic induction and restriction; 5. Frobenius reciprocity; 6. The second adjoint theorem; 7. Proof of the second adjoint theorem; 8. Fourier transforms and intertwiners; References; A functoriality principle for blocks of -adic linear groups; 1. Main statements |
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1.1. Functoriality for \oQl-blocks of groups of \GL-type1.2. Functoriality for \oZl-blocks of groups of \GL-type; 1.3. More general groups; 2. Details and proofs; 2.1. The centralizer and its dual -groups; 2.2. Unipotent factorizations of a _{ }-parameter; 2.3. Restriction of scalars; 2.4. Groups of \GL-type; References; Poids de Serre dans la conjecture de Breuil-Mézard; Introduction; 0. Notations; 1. Conjecture de Breuil-Mézard; 1.1. Côté galoisien; 1.2. Côté automorphe; 1.3. Énoncés, interprétations et cas connus; 1.4. Méthode de calcul des multiplicités intrinsèques |
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2. Poids de Serre d'une représentation irréductible de dimension 22.1. Rappels : congruences définissant \D(\rhobar); 2.2. Explicitation des formules génériques; 2.3. Formules non génériques et poids de Serre modifiés; 2.4. Multiplicité combinatoire; 3. Poids de Serre d'un type modéré; 4. Anneaux de déformations, variétés de Kisin et poids modifiés : exemples; 4.1. En degré =2; 4.2. En degré =3; Bibliographie; Affinoids in Lubin-Tate surfaces with exponential full level two; Introduction; 1. Lubin-Tate space and its formal model; 2. Affinoid in Lubin-Tate space; 3. Group action |
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4. On middle cohomology of the surfaceAcknowledgment; References; An automorphic variant of a conjecture of Deligne; Introduction; Basic notation; 1. Motives and the Deligne conjecture; 2. The automorphic variant; References; Paquets d'Arthur des groupes classiques complexes; 1. Introduction; 2. Notations et généralités sur les groupes complexes et leurs représentations; 3. Paramètres de Langlands et d'Arthur; 4. \GL_{ }; 5. Les groupes classiques et leurs représentations. Paquets d'Arthur; 6. Réduction au cas unipotent de bonne parité; 7. Description des paquets unipotents (Barbasch-Vogan) |
| Summary |
This volume contains the proceedings of the international conference "Around Langlands Correspondences", held from June 17-20, 2015, at Université Paris Sud in Orsay, France. The Langlands correspondence (nowadays called the usual Langlands correspondence), conjectured by Robert Langlands in the late 1960s and early 1970s, has recently seen some new mysterious generalizations: the modular Langlands correspondence, the p-adic Langlands correspondence, and the geometric Langlands correspondence, the last of which seems to share deep connections with the Baum-Connes conjecture. The aim of this vo |
| Notes |
8. Lemmes de réduction |
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Print version record |
| Subject |
Algebraic number theory -- Congresses
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Galois theory -- Congresses
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Algebraic number theory.
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Galois theory.
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| Genre/Form |
Conference papers and proceedings.
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| Form |
Electronic book
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| Author |
Aparicio, Maria Paula Gómez
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Mínguez, Alberto
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| ISBN |
9781470441173 |
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1470441179 |
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