D-Modules, Perverse Sheaves, and Representation Theory (Progress in Mathematics, 236)

Hotta, Ryoshi,Takeuchi, Kiyoshi,Tanisaki, Toshiyuki

ISBN 10: 081764363X / ISBN 13: 9780817643638

Published by Birkhäuser, 2007

About this Item

Seller Inventory # mon0004175468

Bibliographic Details

• Title: D-Modules, Perverse Sheaves, and Representation Theory (Progress in Mathematics, 236)
• Publisher: Birkhäuser
• Publication Date: 2007
• Language: English
• ISBN 10: 081764363X
• ISBN 13: 9780817643638
• Binding: hardcover
• Condition: Very Good

About this title

Synopsis

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.