D-modules, Representation Theory, and Quantum Groups Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Venezia, Italy, June 12-20, 1992. C.I.M.E. Foundation Subseries

CONTENTS: L. Boutet de Monvel: Indice de systemes differentiels.- C. De Concini, C. Procesi: Quantum groups.- P. Schapira, J.P. Schneiders: Index theorems for R-constructible sheaves and for D-modules.- N. Berline, M. Vergne: The equivariant Chern character and index of G-invariant operators. Annotation CONTENTS: L. Boutet de Monvel: Indice de systemesdifferentiels.- C. De Concini, C. Procesi: Quantum groups.-P. Schapira, J.P. Schneiders: Index theorems forR-constructible sheaves and for D-modules.- N. Berline, M. Vergne: The equivariant Chern character and index ofG-invariant operators This volume contains a series of lectures presented at the 2nd Session of the Centro Internazionale Matematica Estivo (CIME), held in Venezia, Italy in June 1992. It includes discussion of quantum groups and the index theorems for R-constructible sheaves and for D-modules.