Mathematics
AN INTRODUCTION TO LIE GROUPS AND SYMPLECTIC GEOMETRY
CONTENTS 1 INTRODUCTION: SYMMETRY AND DIFFERENTIAL EQUATIONS 2 LIE GROUPS 3 GROUP ACTIONS ON MANIFOLDS 4 SYMMETRIES AND CONSERVATION LAWS 5 SYMPLECTIC MANIFOLDS, I 6 SYMPLECTIC MANIFOLDS, II 7 CLASSICAL REDUCTION 8 RECENT APPLICATIONS OF REDUCTION 9 THE GROMOV SCHOOL OF SYMPLECTIC GEOMETRY