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The following HTML text is provided to enhance online readability. Many aspects of typography translate only awkwardly to HTML. Please use the page image as the authoritative form to ensure accuracy. in Amsterdam Weyl, as chairman of the Fields Medal Committee, gave the speech describing the work of the two medallists: Kunihiko Kodaira and Jean-Pierre Serre. Kodaira had also independently completed Hodge’s work and had gone on to apply it with great skill to prove concrete results in algebraic geometry. Serre had contributed through his work on the newly developed theory of sheaves. Despite his age (he was 69) Weyl gave a detailed and enthusiastic account of all this work, which by combining geometry and analysis in the spirit of his own earlier work was very close to his heart. This is clearly conveyed in his words addressed to Kodaira: Your work has more than one connection with what I tried to do in my younger years; but you have reached heights of which I never dreamt. Since you came to Princeton in 1949 it has been one of the greatest joys of my life to watch your mathematical development. Turning to Serre, whose work in homotopy theory he had also described in detail, he said, I have no such close personal relation to you, Dr. Serre, and your research, but let me say that never before have I witnessed such a brilliant ascension of a star in the mathematical sky as yours. The mathematical community is proud of the work you both have done. It shows that the old gnarled tree of mathematics is still full of sap and life. As a young member of the large audience on that occasion I was dazzled by Weyl’s performance and inspired by his oratory. If geometry and analysis were at the core of Weyl’s interests, his urge to organize and synthesize made it perhaps inevitable that he would leave his mark on the theory of groups and their representations. These are the embodiment of symmetry, a topic that Weyl expounded on toward
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