D-Modules, Perverse Sheaves, and Representation Theory

von Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki

412 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: Progress in Mathematics
• ISBN: 9780817643638
• Sprache: Englisch
• Erscheinungsdatum: 07.11.2007
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Birkhäuser Boston
• Übersetzung: Kiyoshi Takeuchi