D-Modules, Perverse Sheaves, and Representation Theory

by Ryoshi Hotta, Kiyoshi Takeuchi (Translator), Toshiyuki Tanisaki

D -modules continues to be an active area of stimulating research in such mathematical areas as algebraic, 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. 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, representation theory.

423 pages, Hardcover

First published November 7, 2007

Reviews

[Andrew · Rating 3 out of 5]

It has a rather technical treatment, which should be supplemented with something more terse and intuitive, like Bernstein's lecture notes.

A fair warning: the reader should expect to be left without a full proof of the Kazhdan-Lusztig conjectures, as chapters 8 and 13 (aside from a nice exposition of t-structures) are more surveys than logically complete exposition. If this book tried to give complete proofs here it would probably be twice as long, so you can't blame them.