Coefficient Systems on the Bruhat-Tits Building and Pro-p Iwahori-Hecke Modules.

Cover
Title page
Introduction
Chapter 1. A reminder on the Bruhat-Tits building
1.1. Stabilizers and Bruhat decompositions
1.2. Hecke algebras
Chapter 2. Coefficient systems
2.1. Coefficient systems and diagrams
2.2. Acyclic coefficient systems on the standard apartment
Chapter 3. The equivalence of categories
3.1. Representations and Hecke modules of stabilizer groups
3.2. Coefficient systems and pro- Iwahori-Hecke modules
Chapter 4. Applications to representation theory
4.1. Homology in degree zero
4.2. Homotopy categories and their localizations
4.3. The functor to generalized ( ,Γ)-modules
Bibliography
Back Cover.