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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
©2010.
|
| Colección: | Annals of mathematics studies ;
no. 173. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Morel, Sophie, |d 1979- | |
| 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. | ||
| 300 | |a 1 online resource (xi, 217 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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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. | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Shimura varieties. | |
| 650 | 0 | |a Homology theory. | |
| 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 | |
| 776 | 0 | 8 | |i Print version: |a Morel, Sophie, 1979- |t On the cohomology of certain noncompact Shimura varieties. |d Princeton : Princeton University Press, ©2010 |z 9780691142920 |w (DLC) 2009034338 |w (OCoLC)435710956 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 173. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt7tb2g |z Texto completo |
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