On the cohomology of certain noncompact Shimura varieties /:
This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois g...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Princeton :
Princeton University Press,
©2010.
|
Schriftenreihe: | Annals of mathematics studies ;
no. 173. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois group of the reflex field and of the group G(Af) of finite adelic points of G. The second action can be studied on the set of complex points of the Shimura variety. In this book, Sophie Morel identifies the Galois action--at good places--on the G(Af)-isotypical components of the cohomology. Morel use. |
Beschreibung: | 1 online resource (xi, 217 pages) |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9781400835393 1400835399 |
Internformat
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245 | 1 | 0 | |a On the cohomology of certain noncompact Shimura varieties / |c Sophie Morel ; with an appendix by Robert Kottwitz. |
260 | |a Princeton : |b Princeton University Press, |c ©2010. | ||
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490 | 1 | |a Annals of mathematics studies ; |v no. 173 | |
504 | |a Includes bibliographical references and index. | ||
520 | |a This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois group of the reflex field and of the group G(Af) of finite adelic points of G. The second action can be studied on the set of complex points of the Shimura variety. In this book, Sophie Morel identifies the Galois action--at good places--on the G(Af)-isotypical components of the cohomology. Morel use. | ||
588 | 0 | |a Print version record. | |
505 | 0 | |a Preliminaries; Contents; Preface; Chapter 1 The fixed point formula; Chapter 2 The groups; Chapter 3 Discrete series; Chapter 4 Orbital integrals at p; Chapter 5 The geometric side of the stable trace formula; Chapter 6 Stabilization of the fixed point formula; Chapter 7 Applications; Chapter 8 The twisted trace formula; Chapter 9 The twisted fundamental lemma; Appendix Comparison of two versions of twisted transfer factors; Bibliography; Index. | |
546 | |a In English. | ||
650 | 0 | |a Shimura varieties. |0 http://id.loc.gov/authorities/subjects/sh93007485 | |
650 | 0 | |a Homology theory. |0 http://id.loc.gov/authorities/subjects/sh85061770 | |
650 | 6 | |a Variétés de Shimura. | |
650 | 6 | |a Homologie. | |
650 | 7 | |a MATHEMATICS |x Geometry |x Algebraic. |2 bisacsh | |
650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
650 | 7 | |a Homology theory |2 fast | |
650 | 7 | |a Shimura varieties |2 fast | |
758 | |i has work: |a On the cohomology of certain noncompact Shimura varieties (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGHtKfD9DWYfhxtXgHqDG3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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adam_text | |
any_adam_object | |
author | Morel, Sophie, 1979- |
author_GND | http://id.loc.gov/authorities/names/no2010027384 |
author_facet | Morel, Sophie, 1979- |
author_role | |
author_sort | Morel, Sophie, 1979- |
author_variant | s m sm |
building | Verbundindex |
bvnumber | localFWS |
callnumber-first | Q - Science |
callnumber-label | QA242 |
callnumber-raw | QA242.5 .M67 2010eb |
callnumber-search | QA242.5 .M67 2010eb |
callnumber-sort | QA 3242.5 M67 42010EB |
callnumber-subject | QA - Mathematics |
classification_rvk | SI 830 |
collection | ZDB-4-EBA |
contents | Preliminaries; Contents; Preface; Chapter 1 The fixed point formula; Chapter 2 The groups; Chapter 3 Discrete series; Chapter 4 Orbital integrals at p; Chapter 5 The geometric side of the stable trace formula; Chapter 6 Stabilization of the fixed point formula; Chapter 7 Applications; Chapter 8 The twisted trace formula; Chapter 9 The twisted fundamental lemma; Appendix Comparison of two versions of twisted transfer factors; Bibliography; Index. |
ctrlnum | (OCoLC)697182451 |
dewey-full | 516.3/52 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.3/52 |
dewey-search | 516.3/52 |
dewey-sort | 3516.3 252 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | ZDB-4-EBA-ocn697182451 |
illustrated | Not Illustrated |
indexdate | 2024-11-27T13:17:40Z |
institution | BVB |
isbn | 9781400835393 1400835399 |
language | English |
oclc_num | 697182451 |
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publisher | Princeton University Press, |
record_format | marc |
series | Annals of mathematics studies ; |
series2 | Annals of mathematics studies ; |
spelling | Morel, Sophie, 1979- https://id.oclc.org/worldcat/entity/E39PBJbtkCD4ckv7t8dhrd7PwC http://id.loc.gov/authorities/names/no2010027384 On the cohomology of certain noncompact Shimura varieties / Sophie Morel ; with an appendix by Robert Kottwitz. Princeton : Princeton University Press, ©2010. 1 online resource (xi, 217 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Annals of mathematics studies ; no. 173 Includes bibliographical references and index. This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois group of the reflex field and of the group G(Af) of finite adelic points of G. The second action can be studied on the set of complex points of the Shimura variety. In this book, Sophie Morel identifies the Galois action--at good places--on the G(Af)-isotypical components of the cohomology. Morel use. Print version record. Preliminaries; Contents; Preface; Chapter 1 The fixed point formula; Chapter 2 The groups; Chapter 3 Discrete series; Chapter 4 Orbital integrals at p; Chapter 5 The geometric side of the stable trace formula; Chapter 6 Stabilization of the fixed point formula; Chapter 7 Applications; Chapter 8 The twisted trace formula; Chapter 9 The twisted fundamental lemma; Appendix Comparison of two versions of twisted transfer factors; Bibliography; Index. In English. Shimura varieties. http://id.loc.gov/authorities/subjects/sh93007485 Homology theory. http://id.loc.gov/authorities/subjects/sh85061770 Variétés de Shimura. Homologie. MATHEMATICS Geometry Algebraic. bisacsh MATHEMATICS Topology. bisacsh Homology theory fast Shimura varieties fast has work: On the cohomology of certain noncompact Shimura varieties (Text) https://id.oclc.org/worldcat/entity/E39PCGHtKfD9DWYfhxtXgHqDG3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Morel, Sophie, 1979- On the cohomology of certain noncompact Shimura varieties. Princeton : Princeton University Press, ©2010 9780691142920 (DLC) 2009034338 (OCoLC)435710956 Annals of mathematics studies ; no. 173. 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=350100 Volltext |
spellingShingle | Morel, Sophie, 1979- On the cohomology of certain noncompact Shimura varieties / Annals of mathematics studies ; Preliminaries; Contents; Preface; Chapter 1 The fixed point formula; Chapter 2 The groups; Chapter 3 Discrete series; Chapter 4 Orbital integrals at p; Chapter 5 The geometric side of the stable trace formula; Chapter 6 Stabilization of the fixed point formula; Chapter 7 Applications; Chapter 8 The twisted trace formula; Chapter 9 The twisted fundamental lemma; Appendix Comparison of two versions of twisted transfer factors; Bibliography; Index. Shimura varieties. http://id.loc.gov/authorities/subjects/sh93007485 Homology theory. http://id.loc.gov/authorities/subjects/sh85061770 Variétés de Shimura. Homologie. MATHEMATICS Geometry Algebraic. bisacsh MATHEMATICS Topology. bisacsh Homology theory fast Shimura varieties fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh93007485 http://id.loc.gov/authorities/subjects/sh85061770 |
title | On the cohomology of certain noncompact Shimura varieties / |
title_auth | On the cohomology of certain noncompact Shimura varieties / |
title_exact_search | On the cohomology of certain noncompact Shimura varieties / |
title_full | On the cohomology of certain noncompact Shimura varieties / Sophie Morel ; with an appendix by Robert Kottwitz. |
title_fullStr | On the cohomology of certain noncompact Shimura varieties / Sophie Morel ; with an appendix by Robert Kottwitz. |
title_full_unstemmed | On the cohomology of certain noncompact Shimura varieties / Sophie Morel ; with an appendix by Robert Kottwitz. |
title_short | On the cohomology of certain noncompact Shimura varieties / |
title_sort | on the cohomology of certain noncompact shimura varieties |
topic | Shimura varieties. http://id.loc.gov/authorities/subjects/sh93007485 Homology theory. http://id.loc.gov/authorities/subjects/sh85061770 Variétés de Shimura. Homologie. MATHEMATICS Geometry Algebraic. bisacsh MATHEMATICS Topology. bisacsh Homology theory fast Shimura varieties fast |
topic_facet | Shimura varieties. Homology theory. Variétés de Shimura. Homologie. MATHEMATICS Geometry Algebraic. MATHEMATICS Topology. Homology theory Shimura varieties |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=350100 |
work_keys_str_mv | AT morelsophie onthecohomologyofcertainnoncompactshimuravarieties |