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The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151).
This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the ""simple"" Shimura varieties. These two problems go hand in hand. Th...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2001.
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| Colección: | Annals of mathematics studies.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Harris, Michael, |d 1954- | |
| 245 | 1 | 4 | |a The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). |
| 260 | |a Princeton : |b Princeton University Press, |c 2001. | ||
| 300 | |a 1 online resource (288 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 490 | 1 | |a Annals of Mathematics Studies ; |v v. 151 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title; Copyright; Dedication; Contents; Introduction; Acknowledgements; I Preliminaries; I.1 General notation; I.2 Generalities on representations; I.3 Admissible representations of GLg; I.4 Base change; I.5 Vanishing cycles and formal schemes; I.6 Involutions and unitary groups; I.7 Notation and running assumptions; II Barsotti-Tate groups; II. 1 Barsotti-Tate groups; II. 2 Drinfeld level structures; III Some simple Shimura varieties; III. 1 Characteristic zero theory; III. 2 Cohomology; III. 3 The trace formula; III. 4 Integral models; IV Igusa varieties. | |
| 505 | 8 | |a IV. 1 Igusa varieties of the first kindIV. 2 Igusa varieties of the second kind; V Counting Points; V.1 An application of Fujiwara's trace formula; V.2 Honda-Tate theory; V.3 Polarisations I; V.4 Polarisations II; V.5 Some local harmonic analysis; V.6 The main theorem; VI Automorphic forms; VI. 1 The Jacquet-Langlands correspondence; VI. 2 Clozel's base change; VII Applications; VII. 1 Galois representations; VII. 2 The local Langlands conjecture; Appendix. A result on vanishing cycles; Bibliography; Index. | |
| 520 | |a This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the ""simple"" Shimura varieties. These two problems go hand in hand. The results represent a major advance in algebraic number theory, finally proving the conjecture first proposed in Langlands's 1969 Washington lecture as a non-abelian generalization of local class field theory. The local Langlands conjecture for GLn(K), where K is a p-adic field, asserts. | ||
| 546 | |a In English. | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 650 | 0 | |a Shimura varieties. | |
| 650 | 6 | |a Variétés de Shimura. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Number Theory. |2 bisacsh | |
| 650 | 7 | |a Shimura varieties. |2 fast |0 (OCoLC)fst01116007 | |
| 700 | 1 | |a Taylor, R. L. |q (Richard Lawrence), |d 1962- | |
| 776 | 0 | 8 | |i Print version: |a Harris, Michael. |t Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). |d Princeton : Princeton University Press, ©2001 |z 9780691090924 |
| 830 | 0 | |a Annals of mathematics studies. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt1287kfd |z Texto completo |
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| 938 | |a ProQuest Ebook Central |b EBLB |n EBL1744818 | ||
| 938 | |a EBSCOhost |b EBSC |n 816474 | ||
| 938 | |a YBP Library Services |b YANK |n 11999710 | ||
| 994 | |a 92 |b IZTAP | ||