D-Modules, Perverse Sheaves, and Representation Theory

Name: D-Modules, Perverse Sheaves, and Representation Theory
Price: 73.65 USD
Availability: InStock
ISBN: 9780817643638

ISBN-10: 081764363X

ISBN-13: 9780817643638

Edition: 2008

Authors: Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki, Toshiyuki Tanisaki

List price: $109.99

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Description:

This work examines in detail the foundations of D-module theory and its intersection with cohomology groups and representation theory. This systematic and carefully written exposition begins with preliminary concepts before focusing on some basic but important theories that have emerged in the last few decades. Significant topics that have emerged as studies in their own right include a treatment of the theory of holonomic D-modules, perverse sheaves, the Riemann-Hilbert correspondence, Hodge modules, and Kazhdan-Lusztig polynomials. To further aid the reader, appendices are provided as reviews for the theory of derived categories and algebraic varieties. "D-modules, Perverse Sheaves,…

Book details

List price: $109.99
Copyright year: 2008
Publisher: Birkhï¿½user Boston
Publication date: 11/7/2007
Binding: Hardcover
Pages: 412
Size: 6.10" wide x 9.25" long x 1.00" tall
Weight: 1.518
Language: English




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



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



Algebraic Varieties



Derived Categories and Derived Functors



Sheaves and Functors in Derived Categories



Filtered Rings



Symplectic Geometry


References


List of Notation


Index