The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 /

The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris.

This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the "simple" Shimura varieties. These two problems go hand in hand. The results re...

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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:
Harris, Michael,
Taylor, Richard,
MitwirkendeR:
Berkovich, V. G.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2001]
©2002
Year of Publication:2001
Language:English
Series:Annals of Mathematics Studies ; 151
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Physical Description:1 online resource (288 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Introduction
  • Acknowledgements
  • Chapter I. Preliminaries
  • Chapter II. Barsotti-Tate groups
  • Chapter III. Some simple Shimura varieties
  • Chapter IV. Igusa varieties
  • Chapter V. Counting Points
  • Chapter VI. Automorphic forms
  • Chapter VII. Applications
  • Appendix. A result on vanishing cycles
  • Bibliography
  • Index

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