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The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
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.
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This volume is based on notes from a graduate course given by the author at the University of Paris. The field of microdifferential equations, to which the author has made substantial contributions, is an active area of mathematical research with applications to real and complex analysis, Lie groups, algebraic geometry, the topology of algebraic varieties, and mathematical physics (Feynman amplitudes). The volume will be of interest to graduate students and research mathematicians alike.