D-Modules, Perverse Sheaves, and Representation Theory

Par : Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki
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  • 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.