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...
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| 1. Verfasser: | |
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| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton :
Princeton University Press,
2001.
|
| Schriftenreihe: | Annals of mathematics studies.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (288 pages) |
| ISBN: | 9781400837205 1400837200 0691090920 9780691090924 |
Internformat
MARC
| LEADER | 00000cam a2200000Mu 4500 | ||
|---|---|---|---|
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| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 140726s2001 nju o 000 0 eng d | ||
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| 100 | 1 | |a Harris, Michael, |d 1954- |1 https://id.oclc.org/worldcat/entity/E39PBJxMpdBjtM3pgFtdK3q84q |0 http://id.loc.gov/authorities/names/no2001098112 | |
| 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 | ||
| 347 | |a text file |b PDF |2 rda | ||
| 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. | ||
| 650 | 0 | |a Shimura varieties. |0 http://id.loc.gov/authorities/subjects/sh93007485 | |
| 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 | |
| 653 | |a Abelian variety. | ||
| 653 | |a Absolute value. | ||
| 653 | |a Algebraic group. | ||
| 653 | |a Algebraically closed field. | ||
| 653 | |a Artinian. | ||
| 653 | |a Automorphic form. | ||
| 653 | |a Base change. | ||
| 653 | |a Bijection. | ||
| 653 | |a Canonical map. | ||
| 653 | |a Codimension. | ||
| 653 | |a Coefficient. | ||
| 653 | |a Cohomology. | ||
| 653 | |a Compactification (mathematics). | ||
| 653 | |a Conjecture. | ||
| 653 | |a Corollary. | ||
| 653 | |a Dimension (vector space). | ||
| 653 | |a Dimension. | ||
| 653 | |a Direct limit. | ||
| 653 | |a Division algebra. | ||
| 653 | |a Eigenvalues and eigenvectors. | ||
| 653 | |a Elliptic curve. | ||
| 653 | |a Embedding. | ||
| 653 | |a Equivalence class. | ||
| 653 | |a Equivalence of categories. | ||
| 653 | |a Existence theorem. | ||
| 653 | |a Field of fractions. | ||
| 653 | |a Finite field. | ||
| 653 | |a Function field. | ||
| 653 | |a Functor. | ||
| 653 | |a Galois cohomology. | ||
| 653 | |a Galois group. | ||
| 653 | |a Generic point. | ||
| 653 | |a Geometry. | ||
| 653 | |a Hasse invariant. | ||
| 653 | |a Infinitesimal character. | ||
| 653 | |a Integer. | ||
| 653 | |a Inverse system. | ||
| 653 | |a Isomorphism class. | ||
| 653 | |a Lie algebra. | ||
| 653 | |a Local class field theory. | ||
| 653 | |a Maximal torus. | ||
| 653 | |a Modular curve. | ||
| 653 | |a Moduli space. | ||
| 653 | |a Monic polynomial. | ||
| 653 | |a P-adic number. | ||
| 653 | |a Prime number. | ||
| 653 | |a Profinite group. | ||
| 653 | |a Residue field. | ||
| 653 | |a Ring of integers. | ||
| 653 | |a Separable extension. | ||
| 653 | |a Sheaf (mathematics). | ||
| 653 | |a Shimura variety. | ||
| 653 | |a Simple group. | ||
| 653 | |a Special case. | ||
| 653 | |a Spectral sequence. | ||
| 653 | |a Square root. | ||
| 653 | |a Subset. | ||
| 653 | |a Tate module. | ||
| 653 | |a Theorem. | ||
| 653 | |a Transcendence degree. | ||
| 653 | |a Unitary group. | ||
| 653 | |a Valuative criterion. | ||
| 653 | |a Variable (mathematics). | ||
| 653 | |a Vector space. | ||
| 653 | |a Weil group. | ||
| 653 | |a Weil pairing. | ||
| 653 | |a Zariski topology. | ||
| 700 | 1 | |a Taylor, R. L. |q (Richard Lawrence), |d 1962- |1 https://id.oclc.org/worldcat/entity/E39PCjGHJT8qWbbGjtbDqPmfdP |0 http://id.loc.gov/authorities/names/nb2012018027 | |
| 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. |0 http://id.loc.gov/authorities/names/n42002129 | |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=816474 |3 Volltext |
| 938 | |a De Gruyter |b DEGR |n 9781400837205 | ||
| 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 GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn884646577 |
|---|---|
| _version_ | 1816882280451276801 |
| adam_text | |
| any_adam_object | |
| author | Harris, Michael, 1954- |
| author2 | Taylor, R. L. (Richard Lawrence), 1962- |
| author2_role | |
| author2_variant | r l t rl rlt |
| author_GND | http://id.loc.gov/authorities/names/no2001098112 http://id.loc.gov/authorities/names/nb2012018027 |
| author_facet | Harris, Michael, 1954- Taylor, R. L. (Richard Lawrence), 1962- |
| author_role | |
| author_sort | Harris, Michael, 1954- |
| author_variant | m h mh |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA242 |
| callnumber-raw | QA242.5 |
| callnumber-search | QA242.5 |
| callnumber-sort | QA 3242.5 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | 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. 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. |
| ctrlnum | (OCoLC)884646577 |
| dewey-full | 516.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/5 |
| dewey-search | 516.3/5 |
| dewey-sort | 3516.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn884646577 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:26:06Z |
| institution | BVB |
| isbn | 9781400837205 1400837200 0691090920 9780691090924 |
| language | English |
| oclc_num | 884646577 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (288 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Princeton University Press, |
| record_format | marc |
| series | Annals of mathematics studies. |
| series2 | Annals of Mathematics Studies ; |
| spelling | Harris, Michael, 1954- https://id.oclc.org/worldcat/entity/E39PBJxMpdBjtM3pgFtdK3q84q http://id.loc.gov/authorities/names/no2001098112 The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). Princeton : Princeton University Press, 2001. 1 online resource (288 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; v. 151 Print version record. 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. 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. 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. In English. Shimura varieties. http://id.loc.gov/authorities/subjects/sh93007485 Variétés de Shimura. MATHEMATICS Geometry General. bisacsh MATHEMATICS Number Theory. bisacsh Shimura varieties fast Abelian variety. Absolute value. Algebraic group. Algebraically closed field. Artinian. Automorphic form. Base change. Bijection. Canonical map. Codimension. Coefficient. Cohomology. Compactification (mathematics). Conjecture. Corollary. Dimension (vector space). Dimension. Direct limit. Division algebra. Eigenvalues and eigenvectors. Elliptic curve. Embedding. Equivalence class. Equivalence of categories. Existence theorem. Field of fractions. Finite field. Function field. Functor. Galois cohomology. Galois group. Generic point. Geometry. Hasse invariant. Infinitesimal character. Integer. Inverse system. Isomorphism class. Lie algebra. Local class field theory. Maximal torus. Modular curve. Moduli space. Monic polynomial. P-adic number. Prime number. Profinite group. Residue field. Ring of integers. Separable extension. Sheaf (mathematics). Shimura variety. Simple group. Special case. Spectral sequence. Square root. Subset. Tate module. Theorem. Transcendence degree. Unitary group. Valuative criterion. Variable (mathematics). Vector space. Weil group. Weil pairing. Zariski topology. Taylor, R. L. (Richard Lawrence), 1962- https://id.oclc.org/worldcat/entity/E39PCjGHJT8qWbbGjtbDqPmfdP http://id.loc.gov/authorities/names/nb2012018027 Print version: Harris, Michael. Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). Princeton : Princeton University Press, ©2001 9780691090924 Annals of mathematics studies. http://id.loc.gov/authorities/names/n42002129 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=816474 Volltext |
| spellingShingle | Harris, Michael, 1954- The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). Annals of mathematics studies. 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. 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. Shimura varieties. http://id.loc.gov/authorities/subjects/sh93007485 Variétés de Shimura. MATHEMATICS Geometry General. bisacsh MATHEMATICS Number Theory. bisacsh Shimura varieties fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh93007485 |
| title | The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). |
| title_auth | The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). |
| title_exact_search | The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). |
| title_full | The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). |
| title_fullStr | The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). |
| title_full_unstemmed | The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). |
| title_short | The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151). |
| title_sort | geometry and cohomology of some simple shimura varieties am 151 |
| topic | Shimura varieties. http://id.loc.gov/authorities/subjects/sh93007485 Variétés de Shimura. MATHEMATICS Geometry General. bisacsh MATHEMATICS Number Theory. bisacsh Shimura varieties fast |
| topic_facet | Shimura varieties. Variétés de Shimura. MATHEMATICS Geometry General. MATHEMATICS Number Theory. Shimura varieties |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=816474 |
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