Lecture Notes in Mathematics , Vol. Please allow at least 3-4 weeks for delivery. The Symposium on the Current State and Prospects of Mathematics was held in Barcelona from June 13 to June 18, 1991. Seven invited Fields medalists gave talks on the development of their respective research fields. The contents of all lectures were collected in the volume, together with a transcription of a round table discussion held during the Symposium.
All papers are expository.
Some parts include precise technical statements of recent results, but the greater part consists of narrative text addressed to a very broad mathematical public.