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,...

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Hlavní autoři: Hotta, Ryoshi, 1941-, Takeuchi, Kiyoshi, 1967- (Překladatel), Tanisaki, Toshiyuki, 1955- (Autor)
Další autoři: Hotta, Ryoshi (Editor), Takeuchi, Kiyoshi (Editor), Tanisaki, Toshiyuki (Editor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Vydání:1st ed. 2008.
Edice:Progress in Mathematics 236
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Poznámka: L'impression du document génère 405 p.
Trad. remaniée de : "D Kagun to Daisugun"
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Edition sous un autre format:• D-modules, perverse sheaves, and representation theory, Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki, Edition en anglais, révisée et augmentée, Boston, Mass., Birkhäuser, 2008, 1 vol. (X-407 p.), Progress in mathematics, 978-0-8176-4363-8
• Limit operators and their applications in operator theory, Vladimir Rabinovich, Steffen Roch, Bernd Silbermann, Basel, Birkhäuser Verlag, 2004, 1 vol. (XV-392 p.), Operator theory, advances and applications, 3-7643-7081-5
• D-modules, perverse sheaves, and representation theory, Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki, Edition en anglais, révisée et augmentée, Boston, Mass., Birkhäuser, 2008, 1 vol. (X-407 p.), Progress in mathematics, 978-0-8176-4363-8
Popis
Shrnutí: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.
Popis jednotky:L'impression du document génère 405 p.
Trad. remaniée de : "D Kagun to Daisugun"
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografie:Bibliogr. Index
ISBN:9780817645236
ISSN:2296-505X
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