ENGLISH

D-Modules, Perverse Sheaves, and Representation Theory

By Ryoshi Hotta , Kiyoshi Takeuchi , Toshiyuki Tanisaki (auth.) , Toshiyuki Tanisaki (eds.)

Book information

Publisher
Birkhäuser Basel
Year
2008
ISBN
081764363X, 9780817643638
DOI
10.1007/978-0-8176-4523-6
LCC
QA179 .H68 2004
Open Library ID
OL3310158M
Language
english
Format
PDF
Filesize
2 MB (2267160 bytes)
Series
Progress in Mathematics 236
Edition
1
Pages
412\407
Topic
Mathematics Algebra
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11
Algebra; Group Theory and Generalizations; TopologLie Groups; Commutative Rings and Algebras; Algebr

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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