D-Modules, Perverse Sheaves, and Representation Theory

di Ryoshi Hotta (Autore)

Kiyoshi Takeuchi (Autore)

Toshiyuki Tanisaki (Autore)

vedi tutti

Birkhauser Boston Inc, 2007

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.

• Autore: Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki
• Traduttore: Kiyoshi Takeuchi
• Editore: Birkhauser Boston Inc
• Collana: Progress in Mathematics
• Anno: 2007
• Rilegatura: Hardback
• Pagine: 412 p.
• Dimensioni: 235 x 155 mm
• EAN: 9780817643638

Testo in English