Progress in Mathematics

Hotta, Ryoshi; Takeuchi, Kiyoshi; Takeuchi, Kiyoshi; Tanisaki, Toshiyuki

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.

Details

Published by: Birkhäuser

Publication Date: 2007-11-07

Format: Hardcover

ISBN-13: 9780817643638

DOI: 10.1007/978-0-8176-4523-6

Dimensions: 235cm x155cm

Pages: 412