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[DOWNLOAD] "D-Modules, Perverse Sheaves, and Representation Theory" by Kiyoshi Takeuchi, Ryoshi Hotta & Toshiyuki Tanisaki # eBook PDF Kindle ePub Free

D-Modules, Perverse Sheaves, and Representation Theory

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eBook details

  • Title: D-Modules, Perverse Sheaves, and Representation Theory
  • Author : Kiyoshi Takeuchi, Ryoshi Hotta & Toshiyuki Tanisaki
  • Release Date : January 12, 2007
  • Genre: Mathematics,Books,Science & Nature,
  • Pages : * pages
  • Size : 28631 KB

Description

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.


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