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Science/Engineering D-Modules, Perverse Sheaves, and Representation Theory

Posted on 2010-03-15




Name:Science/Engineering D-Modules, Perverse Sheaves, and Representation Theory
ASIN/ISBN:081764363X
Language:English
File size:2.5 Mb
Publish Date: 2007-11-07
ISBN: 081764363X
Pages: 412 pages
File Type: PDF
File Size: 2,5 MB
Other Info: Birkhäuser Boston
   Science/Engineering D-Modules, Perverse Sheaves, and Representation Theory

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Ryoshi Hotta, Toshiyuki Tanisaki, "D-Modules, Perverse Sheaves, and Representation Theory"

D-modules continues to be an active area of stimulating research in such mathematical areas as algebra, analysis, differential equations, and representation theory.

Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. Significant concepts and topics that have emerged over the last few decades are presented, including a treatment of the theory of holonomic D-modules, perverse sheaves, the all-important Riemann-Hilbert correspondence, Hodge modules, and the solution to the Kazhdan-Lusztig conjecture using D-module theory.

To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, and representation theory.

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