This book contains the proceedings of a conference on geometry held in early 1989 at the Tata Institute in Bombay and organized as a joint project of French and Indian mathematicians. The topics range from algebraic geometry to geometric questions arising in differential equations to connections between geometry and quadratic forms. This book, the second in a series of publications by the National Board for Higher Mathematics of India, is intended to help set research directions and to stimulate the interest of talented students in mathematics.