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On the cohomology of certain noncompact shimura varieties

By: Material type: TextTextLanguage: English Series: Annals of mathemtics studies ; 173Publication details: Princeton Princeton University Press 2010Description: xi, 217pISBN:
  • 9780691142937 (PB)
Subject(s):
Contents:
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
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.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 515.142 MOR (Browse shelf(Opens below)) Available 63694

Includes index

Includes bibliography (p. 207-214) and references

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

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.

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The Institute of Mathematical Sciences, Chennai, India