D-Modules, Perverse Sheaves, and Representation Theory, Vol. 236
Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki, Kiyoshi Takeuchi
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.
카테고리:
년:
2007
판:
1
출판사:
Birkhäuser Boston
언어:
english
페이지:
407
ISBN 10:
0817645233
ISBN 13:
9780817645236
시리즈:
Progress in Mathematics
파일:
PDF, 2.92 MB
IPFS:
,
english, 2007
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