D-Modules, Perverse Sheaves, and Representation Theory

Par : Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki
    • Nombre de pages407
    • PrésentationRelié
    • FormatGrand Format
    • Poids0.765 kg
    • Dimensions16,0 cm × 24,0 cm × 3,0 cm
    • ISBN978-0-8176-4363-8
    • EAN9780817643638
    • Date de parution01/11/2007
    • CollectionProgress in mathematics
    • ÉditeurBirkhäuser

    Résumé

    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.
    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.