The geometry and cohomology of some simple Shimura varieties:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton [u.a.]
Princeton Univ. Press
2001
|
| Schriftenreihe: | Annals of mathematics studies
151 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 276 S. |
| ISBN: | 0691090904 0691090920 9780691090924 |
Internformat
MARC
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| 100 | 1 | |a Harris, Michael |d 1954- |e Verfasser |0 (DE-588)1067534431 |4 aut | |
| 245 | 1 | 0 | |a The geometry and cohomology of some simple Shimura varieties |c by Michael Harris and Richard Taylor |
| 264 | 1 | |a Princeton [u.a.] |b Princeton Univ. Press |c 2001 | |
| 300 | |a VIII, 276 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Annals of mathematics studies |v 151 | |
| 650 | 7 | |a Cohomologie |2 gtt | |
| 650 | 4 | |a Opérations cohomologiques | |
| 650 | 4 | |a Shimura, Variétés de | |
| 650 | 7 | |a Variëteiten (wiskunde) |2 gtt | |
| 650 | 4 | |a Shimura varieties | |
| 650 | 0 | 7 | |a Geometrie |0 (DE-588)4020236-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Shimura-Mannigfaltigkeit |0 (DE-588)4181143-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kohomologie |0 (DE-588)4031700-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Shimura-Mannigfaltigkeit |0 (DE-588)4181143-4 |D s |
| 689 | 0 | 1 | |a Geometrie |0 (DE-588)4020236-7 |D s |
| 689 | 0 | 2 | |a Kohomologie |0 (DE-588)4031700-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Taylor, Richard |e Verfasser |4 aut | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-009624770 | ||
Datensatz im Suchindex
| _version_ | 1804128915449446400 |
|---|---|
| adam_text | Contents
Introduction 1
Acknowledgements 15
I Preliminaries 17
1.1 General notation 17
1.2 Generalities on representations 21
1.3 Admissible representations of GLg 28
1.4 Base change 37
1.5 Vanishing cycles and formal schemes 40
1.6 Involutions and unitary groups 45
1.7 Notation and running assumptions 51
II Barsotti Tate groups 59
II. 1 Barsotti Tate groups 59
II.2 Drinfeld level structures 73
III Some simple Shimura varieties 89
111.1 Characteristic zero theory 89
111.2 Cohomology 94
111.3 The trace formula 105
111.4 Integral models 108
IV Igusa varieties 121
IV.1 Igusa varieties of the first kind 121
IV.2 Igusa varieties of the second kind 133
V Counting Points 149
V.I An application of Pujiwara s trace formula 149
V.2 Honda Tate theory 157
V.3 Polarisations I 163
V.4 Polarisations II 168
vii
viii
V.5 Some local harmonic analysis 182
V.6 The main theorem 191
VI Automorphic forms 195
VI. 1 The Jacquet Langlands correspondence 195
VI.2 Clozel s base change 198
VII Applications 217
VII. 1 Galois representations 217
VII. 2 The local Langlands conjecture 233
Appendix. A result on vanishing cycles 257
by V. G. Berkovich
Bibliography 261
Index 269
|
| any_adam_object | 1 |
| author | Harris, Michael 1954- Taylor, Richard |
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| ctrlnum | (OCoLC)48065209 (DE-599)BVBBV014055035 |
| dewey-full | 516.3/5 512.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry 512 - Algebra |
| dewey-raw | 516.3/5 512.7 |
| dewey-search | 516.3/5 512.7 |
| dewey-sort | 3516.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014055035 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:56:50Z |
| institution | BVB |
| isbn | 0691090904 0691090920 9780691090924 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009624770 |
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| physical | VIII, 276 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | Princeton Univ. Press |
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| series | Annals of mathematics studies |
| series2 | Annals of mathematics studies |
| spelling | Harris, Michael 1954- Verfasser (DE-588)1067534431 aut The geometry and cohomology of some simple Shimura varieties by Michael Harris and Richard Taylor Princeton [u.a.] Princeton Univ. Press 2001 VIII, 276 S. txt rdacontent n rdamedia nc rdacarrier Annals of mathematics studies 151 Cohomologie gtt Opérations cohomologiques Shimura, Variétés de Variëteiten (wiskunde) gtt Shimura varieties Geometrie (DE-588)4020236-7 gnd rswk-swf Shimura-Mannigfaltigkeit (DE-588)4181143-4 gnd rswk-swf Kohomologie (DE-588)4031700-6 gnd rswk-swf Shimura-Mannigfaltigkeit (DE-588)4181143-4 s Geometrie (DE-588)4020236-7 s Kohomologie (DE-588)4031700-6 s DE-604 Taylor, Richard Verfasser aut Annals of mathematics studies 151 (DE-604)BV000000991 151 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009624770&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Harris, Michael 1954- Taylor, Richard The geometry and cohomology of some simple Shimura varieties Annals of mathematics studies Cohomologie gtt Opérations cohomologiques Shimura, Variétés de Variëteiten (wiskunde) gtt Shimura varieties Geometrie (DE-588)4020236-7 gnd Shimura-Mannigfaltigkeit (DE-588)4181143-4 gnd Kohomologie (DE-588)4031700-6 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4181143-4 (DE-588)4031700-6 |
| title | The geometry and cohomology of some simple Shimura varieties |
| title_auth | The geometry and cohomology of some simple Shimura varieties |
| title_exact_search | The geometry and cohomology of some simple Shimura varieties |
| title_full | The geometry and cohomology of some simple Shimura varieties by Michael Harris and Richard Taylor |
| title_fullStr | The geometry and cohomology of some simple Shimura varieties by Michael Harris and Richard Taylor |
| title_full_unstemmed | The geometry and cohomology of some simple Shimura varieties by Michael Harris and Richard Taylor |
| title_short | The geometry and cohomology of some simple Shimura varieties |
| title_sort | the geometry and cohomology of some simple shimura varieties |
| topic | Cohomologie gtt Opérations cohomologiques Shimura, Variétés de Variëteiten (wiskunde) gtt Shimura varieties Geometrie (DE-588)4020236-7 gnd Shimura-Mannigfaltigkeit (DE-588)4181143-4 gnd Kohomologie (DE-588)4031700-6 gnd |
| topic_facet | Cohomologie Opérations cohomologiques Shimura, Variétés de Variëteiten (wiskunde) Shimura varieties Geometrie Shimura-Mannigfaltigkeit Kohomologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009624770&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000991 |
| work_keys_str_mv | AT harrismichael thegeometryandcohomologyofsomesimpleshimuravarieties AT taylorrichard thegeometryandcohomologyofsomesimpleshimuravarieties |