On the cohomology of certain noncompact Shimura varieties /

On the cohomology of certain noncompact Shimura varieties /

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Bibliographic Details
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:	Shimura varieties. Homology theory. Homology theory. Shimura varieties. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11243935

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ISBN:	9781400835393 1400835399 9780691142920 0691142920 0691142939 9780691142937
Notes:	Includes bibliographical references and index. In English. Print version record.
Summary:	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.
Other form:	Print version: Morel, Sophie, 1979- On the cohomology of certain noncompact Shimura varieties. Princeton : Princeton University Press, ©2010 9780691142920
Standard no.:	10.1515/9781400835393

Table of 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