Formes automorphes: 1 Actes du semestre du Centre Émile Borel, printemps 2000
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| Format: | Buch |
|---|---|
| Sprache: | English |
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Paris
Soc. Math. de France
2005
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| Schriftenreihe: | Astérisque
298 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 410 S. |
| ISBN: | 2856291724 |
Internformat
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Datensatz im Suchindex
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| adam_text | Titel: Bd. 1. Formes automorphes. Actes du semestre du Centre Émile Borel, printemps 2000
Autor:
Jahr: 2005
TABLE DES MATIERES
Resumes des articles ......................................................... ix
Abstracts ......................................................................xiii
Preface ........................................................................xvii
K. Buzzard — Questions about slopes of modular forms ............................................1
Introduction ..................................................................................................................................1
1. ro(Ar)-rcgularity ....................................................................................................................5
2. The conjecture ........................................................................................................................7
3. Remarks on the conjecture ................................................................................................10
4. Consequences of the conjecture and related questions ..........................................11
References ......................................................................................................................................14
M. Harris — The Local Langlands correspondence: Notes of (half) a course at
the IMP Spring 2000 ........................................................... 17
Introduction ................................................................. 18
1. Galois representations attached to automorphic representations of GL(n) . 24
2. Shimura varieties as moduli varieties ...................................... 35
3. /^-divisible (9-modules and DrinfcTd bases ................................. 4G
4. Stratification and vanishing cycles ........................................ 58
5. Construction of a local correspondence .................................... 74
6. The second basic identity and Isogeny classes in the special fiber......... 92
7. Comparison of trace formulas .............................................108
8. Strata in Shimura varieties of PEL type ...................................125
Appendices ..................................................................137
References ...................................................................142
H. HiDA — p-Adic automorphic forms on reductive groups ....................147
1. Introduction ..............................................................148
2. Elliptic Curves ............................................................155
3. Vertical Control for Elliptic Modular Forms ...............................166
table des matieres
4. Hecke Equivariance of the Eichler-Shimura Map ..........................170
5. Moduli of Abclian Schemes ...............................................
6. Shiinura Varieties .........................................................
7. Formal Theory of Automorphic Forms ....................................207
8. Vertical Control for Projective Shimura Varieties .........................219
9. Hilbert Modular Forms ....................................................230
10. Igusa Towers ...........................................................241
References .................................................................
F. Oort — Newton polygons and p-divisible groups: a conjecture by Grothen-
dieck .........................................................................255
Introduction .................................................................255
1. Notations ................................................................250
2. Results : deformations of p-divisible groups ...............................259
3. Results : deformations of polarized p-divisible groups and of abclian varie-
ties ...........................................................................260
4. Methods : deformations to a ^ 1 ..........................................201
5. Methods : Caylcy-Hamilton ...............................................203
6. Polarized abclian varieties and quasi-polarized p-divisiblc groups ..........203
7. Some questions and conjectures ...........................................205
References ...................................................................267
M. Rapoport — A guide to the reduction modulo p of Shimura varieties .....271
1. Motivation : The elliptic modular curve ...................................273
Part I. Local theory
2. Parahoric subgroups ......................................................277
3. /z-admissible and /z-permissible set ........................................280
4. Affine Deligne-Lusztig varieties ............................................288
5. The sets V(/z, b)x .........................................................291
6. Relations to local models ..................................................297
Part II. Global theory
7. Geometry of the reduction of a Shimura variety ...........................299
8. Pseudomotivic and quasi-pseudomotivic Galois gerbs .....................302
9. Description of the point set in the reduction ..............................305
10. The semi-simple zeta function ........................................308
References ................................
Notes added June 2003 ..........................................................................314
Additional references ...................
facNicrwn £-m0(iules and the Conjecture of Rapoport and Goresky-
1. Introduction ...................................................................
2. Compactifications .......................................................„on
3. The conjecture . . .........................................
..........................................................322
ASTKWSQta-;
TABLE DES MATIERES vii
4. A generalization ...........................................................323
5. ^-modules ................................................................324
6. Examples of £-modules ...................................................326
7. Micro-support of £-modules ...............................................326
8. A vanishing theorem for £-modules .......................................328
9. Micro-purity of intersection cohomology...................................329
10. Functoriality of micro-support and proof of the Main Theorem..........330
11. Example/application: ordinary cohomology ..............................331
References ...................................................................333
D. SOUDRY — On Langlands functoriality from classical groups to GLn .......335
Introduction .................................................................335
1. The weak lift from SC 2n+i to GL2n .......................................337
2. L-functions for G x GLfc, where G is a quasi-split classical group (generic
representations) ..............................................................347
3. On the weak lift from a quasi-split classical group to GL/y................361
4. Illustrations of Proofs in Low Rank Examples .............................368
References ...................................................................388
M. Straucii — On the Jacquet-Langlands correspondence in the cohomology of
the Lubin-Tate deformation tower ..............................................391
1. Introduction ..............................................................392
2. Deformation spaces and their cohomology groups .........................394
3. The approach via a Lefschetz trace fromula ...............................400
4. Fixed points and the period morphism ....................................404
References ...................................................................408
SOCIETY MATHEMATIQUE DE FRANCE 2005
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| spelling | Formes automorphes 1 Actes du semestre du Centre Émile Borel, printemps 2000 éd. par Jacques Tilouine ... Paris Soc. Math. de France 2005 XVIII, 410 S. txt rdacontent n rdamedia nc rdacarrier Astérisque 298 Astérisque ... Automorphe Form (DE-588)4003972-9 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Automorphe Form (DE-588)4003972-9 s DE-604 Tilouine, Jacques Sonstige oth (DE-604)BV019841184 1 Astérisque 298 (DE-604)BV002579439 298 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013166083&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| title | Formes automorphes |
| title_auth | Formes automorphes |
| title_exact_search | Formes automorphes |
| title_full | Formes automorphes 1 Actes du semestre du Centre Émile Borel, printemps 2000 éd. par Jacques Tilouine ... |
| title_fullStr | Formes automorphes 1 Actes du semestre du Centre Émile Borel, printemps 2000 éd. par Jacques Tilouine ... |
| title_full_unstemmed | Formes automorphes 1 Actes du semestre du Centre Émile Borel, printemps 2000 éd. par Jacques Tilouine ... |
| title_short | Formes automorphes |
| title_sort | formes automorphes actes du semestre du centre emile borel printemps 2000 |
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| topic_facet | Automorphe Form Aufsatzsammlung |
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