Shimura varieties:
"This is the second volume of a projected series of two or three collections of mainly expository articles on the arithmetic theory of automorphic forms. The books are intended primarily for two groups of readers. The first group is interested in the structure of automorphic forms on reductive...
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| Previous Title: | On the stabilization of the trace formula |
|---|---|
| Other Authors: | , |
| Format: | Book |
| Language: | English |
| Published: |
Cambridge ; New York ; New Delhi ; Singapore
Cambridge University Press
2020
|
| Series: | London Mathematical Society lecture note series
457 |
| Subjects: | |
| Summary: | "This is the second volume of a projected series of two or three collections of mainly expository articles on the arithmetic theory of automorphic forms. The books are intended primarily for two groups of readers. The first group is interested in the structure of automorphic forms on reductive groups over number fields, and specifically in qualitative information about the multiplicities of automorphic representations. The second group is interested in the problem of classifying I-adic representations of Galois groups of number fields. Langlands' conjectures elaborate on the notion that these two problems overlap to a considerable degree. The goal of this series of books is to gather into one place much of the evidence that this is the case, and to present it clearly and succinctly enough so that both groups of readers are not only convinced by the evidence but can pass with minimal effort between the two points of view. More than a decade's worth of progress toward the stabilization of the Arthur-Selberg trace formula, culminating in Ngo Bau Chau's proof of the Fundamental Lemma, has made this series timely"-- |
| Item Description: | "This volume forms the sequel to On the stabilization of the trace formula published by International Press of Boston, Inc., 2011." |
| Physical Description: | 333 Seiten Illustrationen |
| ISBN: | 9781108704861 1108704867 |
Staff View
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| 245 | 1 | 0 | |a Shimura varieties |c edited by Thomas Haines (University of Maryland, College Park), Michael Harris (Columbia University) |
| 264 | 1 | |a Cambridge ; New York ; New Delhi ; Singapore |b Cambridge University Press |c 2020 | |
| 300 | |a 333 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series |v 457 | |
| 500 | |a "This volume forms the sequel to On the stabilization of the trace formula published by International Press of Boston, Inc., 2011." | ||
| 505 | 8 | |a Introduction to Volume II / T. J. Haines and M. Harris -- Lectures on Shimura varieties / A. Genestier and B.C. Ngô -- Unitary Shimura varieties / Marc-Hubert Nicole -- Integral models of Shimura varieties of PEL type / Sandra Rozensztajn -- Introduction to the Langlands-Kottwitz method / Yihang Zhu -- Integral Canonical Models of Shimura varieties : an update / Mark Kisin -- The Newton stratification / Elena Mantovan -- On the geometry of the Newton stratification / Eva Viehmann -- Construction of automorphic Galois representations : the self-dual case / Sug Woo Shin -- The local Langlands correspondence for GLn over p-adic fields, and the cohomology of compact unitary Shimura varieties / Peter Scholze -- Une application des variétés de Hecke des groupes unitaires / Gaëtan Chenevier -- A patching lemma / Claus M. Sorensen -- On subquotients of the étale cohomology of Shimura varieties / Christian Johansson and Jack A. Thorne | |
| 520 | 3 | |a "This is the second volume of a projected series of two or three collections of mainly expository articles on the arithmetic theory of automorphic forms. The books are intended primarily for two groups of readers. The first group is interested in the structure of automorphic forms on reductive groups over number fields, and specifically in qualitative information about the multiplicities of automorphic representations. The second group is interested in the problem of classifying I-adic representations of Galois groups of number fields. Langlands' conjectures elaborate on the notion that these two problems overlap to a considerable degree. The goal of this series of books is to gather into one place much of the evidence that this is the case, and to present it clearly and succinctly enough so that both groups of readers are not only convinced by the evidence but can pass with minimal effort between the two points of view. More than a decade's worth of progress toward the stabilization of the Arthur-Selberg trace formula, culminating in Ngo Bau Chau's proof of the Fundamental Lemma, has made this series timely"-- | |
| 546 | |a Text englisch, ein Beitrag französisch | ||
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| 650 | 0 | 7 | |a Automorphe Form |0 (DE-588)4003972-9 |2 gnd |9 rswk-swf |
| 653 | 0 | |a Shimura varieties | |
| 653 | 0 | |a Automorphic forms | |
| 653 | 0 | |a Automorphic forms | |
| 653 | 0 | |a Shimura varieties | |
| 689 | 0 | 0 | |a Automorphe Form |0 (DE-588)4003972-9 |D s |
| 689 | 0 | 1 | |a Reduktive Gruppe |0 (DE-588)4177313-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Haines, Thomas J. |d ca. 20./21. Jh. |0 (DE-588)1206563583 |4 edt | |
| 700 | 1 | |a Harris, Michael |d 1954- |0 (DE-588)1067534431 |4 edt | |
| 776 | 0 | 8 | |i Erscheint auch als |t Shimura varieties |d Cambridge ; New York : Cambridge University Press, 2019 |n Online-Ausgabe, EPUB |z 978-1-108-64971-1 |
| 780 | 0 | 0 | |t On the stabilization of the trace formula |d Somerville, Mass : International Press, 2011 |z 978-1-571-46227-5 |
| 830 | 0 | |a London Mathematical Society lecture note series |v 457 |w (DE-604)BV000000130 |9 457 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-031988945 | ||
Record in the Search Index
| _version_ | 1804181194417373184 |
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| any_adam_object | |
| author2 | Haines, Thomas J. ca. 20./21. Jh Harris, Michael 1954- |
| author2_role | edt edt |
| author2_variant | t j h tj tjh m h mh |
| author_GND | (DE-588)1206563583 (DE-588)1067534431 |
| author_facet | Haines, Thomas J. ca. 20./21. Jh Harris, Michael 1954- |
| building | Verbundindex |
| bvnumber | BV046577105 |
| classification_rvk | SI 320 |
| contents | Introduction to Volume II / T. J. Haines and M. Harris -- Lectures on Shimura varieties / A. Genestier and B.C. Ngô -- Unitary Shimura varieties / Marc-Hubert Nicole -- Integral models of Shimura varieties of PEL type / Sandra Rozensztajn -- Introduction to the Langlands-Kottwitz method / Yihang Zhu -- Integral Canonical Models of Shimura varieties : an update / Mark Kisin -- The Newton stratification / Elena Mantovan -- On the geometry of the Newton stratification / Eva Viehmann -- Construction of automorphic Galois representations : the self-dual case / Sug Woo Shin -- The local Langlands correspondence for GLn over p-adic fields, and the cohomology of compact unitary Shimura varieties / Peter Scholze -- Une application des variétés de Hecke des groupes unitaires / Gaëtan Chenevier -- A patching lemma / Claus M. Sorensen -- On subquotients of the étale cohomology of Shimura varieties / Christian Johansson and Jack A. Thorne |
| ctrlnum | (OCoLC)1143795840 (DE-599)BVBBV046577105 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV046577105 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:47:47Z |
| institution | BVB |
| isbn | 9781108704861 1108704867 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031988945 |
| oclc_num | 1143795840 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-703 |
| owner_facet | DE-91G DE-BY-TUM DE-703 |
| physical | 333 Seiten Illustrationen |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | London Mathematical Society lecture note series |
| series2 | London Mathematical Society lecture note series |
| spelling | Shimura varieties edited by Thomas Haines (University of Maryland, College Park), Michael Harris (Columbia University) Cambridge ; New York ; New Delhi ; Singapore Cambridge University Press 2020 333 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier London Mathematical Society lecture note series 457 "This volume forms the sequel to On the stabilization of the trace formula published by International Press of Boston, Inc., 2011." Introduction to Volume II / T. J. Haines and M. Harris -- Lectures on Shimura varieties / A. Genestier and B.C. Ngô -- Unitary Shimura varieties / Marc-Hubert Nicole -- Integral models of Shimura varieties of PEL type / Sandra Rozensztajn -- Introduction to the Langlands-Kottwitz method / Yihang Zhu -- Integral Canonical Models of Shimura varieties : an update / Mark Kisin -- The Newton stratification / Elena Mantovan -- On the geometry of the Newton stratification / Eva Viehmann -- Construction of automorphic Galois representations : the self-dual case / Sug Woo Shin -- The local Langlands correspondence for GLn over p-adic fields, and the cohomology of compact unitary Shimura varieties / Peter Scholze -- Une application des variétés de Hecke des groupes unitaires / Gaëtan Chenevier -- A patching lemma / Claus M. Sorensen -- On subquotients of the étale cohomology of Shimura varieties / Christian Johansson and Jack A. Thorne "This is the second volume of a projected series of two or three collections of mainly expository articles on the arithmetic theory of automorphic forms. The books are intended primarily for two groups of readers. The first group is interested in the structure of automorphic forms on reductive groups over number fields, and specifically in qualitative information about the multiplicities of automorphic representations. The second group is interested in the problem of classifying I-adic representations of Galois groups of number fields. Langlands' conjectures elaborate on the notion that these two problems overlap to a considerable degree. The goal of this series of books is to gather into one place much of the evidence that this is the case, and to present it clearly and succinctly enough so that both groups of readers are not only convinced by the evidence but can pass with minimal effort between the two points of view. More than a decade's worth of progress toward the stabilization of the Arthur-Selberg trace formula, culminating in Ngo Bau Chau's proof of the Fundamental Lemma, has made this series timely"-- Text englisch, ein Beitrag französisch Reduktive Gruppe (DE-588)4177313-5 gnd rswk-swf Automorphe Form (DE-588)4003972-9 gnd rswk-swf Shimura varieties Automorphic forms Automorphe Form (DE-588)4003972-9 s Reduktive Gruppe (DE-588)4177313-5 s DE-604 Haines, Thomas J. ca. 20./21. Jh. (DE-588)1206563583 edt Harris, Michael 1954- (DE-588)1067534431 edt Erscheint auch als Shimura varieties Cambridge ; New York : Cambridge University Press, 2019 Online-Ausgabe, EPUB 978-1-108-64971-1 On the stabilization of the trace formula Somerville, Mass : International Press, 2011 978-1-571-46227-5 London Mathematical Society lecture note series 457 (DE-604)BV000000130 457 |
| spellingShingle | Shimura varieties London Mathematical Society lecture note series Introduction to Volume II / T. J. Haines and M. Harris -- Lectures on Shimura varieties / A. Genestier and B.C. Ngô -- Unitary Shimura varieties / Marc-Hubert Nicole -- Integral models of Shimura varieties of PEL type / Sandra Rozensztajn -- Introduction to the Langlands-Kottwitz method / Yihang Zhu -- Integral Canonical Models of Shimura varieties : an update / Mark Kisin -- The Newton stratification / Elena Mantovan -- On the geometry of the Newton stratification / Eva Viehmann -- Construction of automorphic Galois representations : the self-dual case / Sug Woo Shin -- The local Langlands correspondence for GLn over p-adic fields, and the cohomology of compact unitary Shimura varieties / Peter Scholze -- Une application des variétés de Hecke des groupes unitaires / Gaëtan Chenevier -- A patching lemma / Claus M. Sorensen -- On subquotients of the étale cohomology of Shimura varieties / Christian Johansson and Jack A. Thorne Reduktive Gruppe (DE-588)4177313-5 gnd Automorphe Form (DE-588)4003972-9 gnd |
| subject_GND | (DE-588)4177313-5 (DE-588)4003972-9 |
| title | Shimura varieties |
| title_auth | Shimura varieties |
| title_exact_search | Shimura varieties |
| title_full | Shimura varieties edited by Thomas Haines (University of Maryland, College Park), Michael Harris (Columbia University) |
| title_fullStr | Shimura varieties edited by Thomas Haines (University of Maryland, College Park), Michael Harris (Columbia University) |
| title_full_unstemmed | Shimura varieties edited by Thomas Haines (University of Maryland, College Park), Michael Harris (Columbia University) |
| title_old | On the stabilization of the trace formula |
| title_short | Shimura varieties |
| title_sort | shimura varieties |
| topic | Reduktive Gruppe (DE-588)4177313-5 gnd Automorphe Form (DE-588)4003972-9 gnd |
| topic_facet | Reduktive Gruppe Automorphe Form |
| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT hainesthomasj shimuravarieties AT harrismichael shimuravarieties |