On the cohomology of certain noncompact Shimura varieties /
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| Author / Creator: | Morel, Sophie, 1979- |
|---|---|
| Imprint: | Princeton : Princeton University Press, ©2010. |
| Description: | 1 online resource (xi, 217 pages) |
| Language: | English |
| Series: | Annals of mathematics studies ; no. 173 Annals of mathematics studies ; no. 173. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11243935 |
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| 100 | 1 | |a Morel, Sophie, |d 1979- |0 http://id.loc.gov/authorities/names/no2010027384 | |
| 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 | ||
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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 | 7 | |a MATHEMATICS |x Geometry |x Algebraic. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Homology theory. |2 fast |0 (OCoLC)fst00959720 | |
| 650 | 7 | |a Shimura varieties. |2 fast |0 (OCoLC)fst01116007 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 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. |0 http://id.loc.gov/authorities/names/n42002129 | |
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| 928 | |t Library of Congress classification |a QA242.5 .M67 2010eb |l Online |c UC-FullText |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=350100 |z eBooks on EBSCOhost |g ebooks |i 12299434 | ||