On the cohomology of certain noncompact Shimura varieties / Sophie Morel ; with an appendix by Robert Kottwitz.

By:

Morel, Sophie, 1979-

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781400835393
1400835399

Subject(s):

Genre/Form:

Additional physical formats: Print version:: On the cohomology of certain noncompact Shimura varieties.DDC classification:

516.3/52 22

LOC classification:

QA242.5 .M67 2010eb

Other classification:

SI 830

Online resources:

Click here to access online

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.

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.

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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.