On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173) /

On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173) / / Sophie Morel.

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...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Morel, Sophie,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2010]
©2010
Year of Publication:2010
Edition:Course Book
Language:English
Series:Annals of Mathematics Studies ; 173
Online Access:
Physical Description:1 online resource (232 p.)
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Table of Contents:
  • Frontmatter
  • 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

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