| Description |
1 online resource (xi, 217 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Annals of mathematics studies ; no. 173
|
|
Annals of mathematics studies ; no. 173.
|
| Bibliography |
Includes bibliographical references and index. |
| 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. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Shimura varieties.
|
|
Shimura varieties. |
|
Homology theory.
|
|
Homology theory. |
| Genre/Form |
Electronic books.
|
|
Electronic books.
|
| Other Form: |
Print version: Morel, Sophie, 1979- On the cohomology of certain noncompact Shimura varieties. Princeton : Princeton University Press, ©2010 9780691142920 (DLC) 2009034338 (OCoLC)435710956 |
| ISBN |
9781400835393 (electronic book) |
|
1400835399 (electronic book) |
|
9780691142920 |
|
0691142920 |
|
0691142939 |
|
9780691142937 |
|
