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D-Modules, Perverse Sheaves, and Representation Theory

Ryoshi Hotta, Kiyoshi Takeuchi, and Toshiyuki Tanisaki
Publisher: 
Birkhäuser
Publication Date: 
2008
Number of Pages: 
412
Format: 
Hardcover
Series: 
Progress in Mathematics 236
Price: 
89.95
ISBN: 
978-0-8176-4363-8
Category: 
Monograph
We do not plan to review this book.

Preface.- Introduction.- Part I: D-modules and perverse sheaves.- Preliminary notions.- Coherent D-modules.- Holonomic D-modules.- Analytic D-modules and the de Rham functor.- Theory of meromorphic connections.- Regular holonomic D-modules.- Riemann-Hilbert correspondence.- Perverse sheaves.- Part II: Representation theory.- Algebraic groups and Lie algebras.- Conjugacy classes of semisimple Lie algebras.- Representations of Lie algebras and D-modules.- Character formula of highest weight modules.- Hecke algebras and Hodge modules.- A: Algebraic varieties.- B: Derived categories and derived functors.- C: Sheaves and functors in derived categories.- D: Filtered rings.- E: Symplectic geometry.- References.- Index.

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