Representations of Finite Groups: Local Cohomology and Support
The seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group. The proof draws on ideas from commutative algebra, cohomology of groups, and stable homotopy theory. T...
Main Authors: | , , |
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Format: | eBook |
Language: | English |
Published: |
Basel
Springer Basel
2012, 2012
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Edition: | 1st ed. 2012 |
Series: | Oberwolfach Seminars
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- 1 Monday
- 1.1 Overview
- 1.2 Modules over group algebras
- 1.3 Triangulated categories
- 1.4 Exercises
- 2 Tuesday
- 2.1 Perfect complexes over commutative rings
- 2.2 Brown representability and localization
- 2.3 The stable module category of a finite group
- 2.4 Exercises
- 3 Wednesday
- 3.1
- 3.2 Koszul objects and support
- 3.3 The homotopy category of injectives
- 3.4 Exercises
- 4 Thursday
- 4.1 Stratifying triangulated categories
- 4.2 Consequences of stratification
- 4.3 The Klein four group
- 4.4 Exercises
- 5 Friday
- 5.1 Localising subcategories of D(A)
- 5.2 Elementary abelian 2-groups
- 5.3 Stratification for arbitrary finite groups
- 5.4 Exercises
- A Support for modules over commutative rings
- Bibliography
- Index