Robert P. Langlands
Author's comments (2021-06-22): The paper as presented here is not the published paper. That was unfortunately modified, namely slightly abridged, by the editors without consulting the author and without his approval. The present paper, the original paper, is the preferred form.
Author's comments: This text is provisional from a mathematical point of view, but it may be some time before the obstacles described in the concluding sections are overcome. Serious progress has been made by Ali Altuğ.
Editorial comments: This text was prepared as a complement to a lecture at the Conference on Beauty held at the Notre Dame Institute for Advanced Study in January, 2010.
A bust of André Weil sculpted by Charlotte Langlands
(now located in the mathematics common room at the Institute)