The Chern Symposium 1979: Proceedings of the International Symposium on Differential Geometry in honor of S.-S. Chern, held in Berkeley, California, June 1979

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· Springer Science & Business Media
Ebook
259
Pages
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About this ebook

This volume attests to the vitality of differential geometry as it probes deeper into its internal structure and explores ever widening connections with other subjects in mathematics and physics. To most of us Professor S. S. Chern is modern differential geometry, and we, his students, are grateful to him for leading us to this fertile landscape. The aims of the symposium were to review recent developments in geometry and to expose and explore new areas of research. It was our way of honoring Professor Chern upon the occasion of his official retirement as Professor of Mathematics at the University of California. This book is a record of the scientific events of the symposium and reflects Professor Chern's wide interest and influence. The conference also reflected Professor Chern's personality. It was a serious occasion, active yet relaxed, mixed with gentleness and good humor. We wish him good health, a long life, happiness, and a continuation of his extraordinarily deep and original contributions to mathematics. I. M. Singer Contents Real and Complex Geometry in Four Dimensions M. F. ATIYAH. . . . . . . . . . . . . Equivariant Morse Theory and the Yang-Mills Equation on Riemann Surfaces RAOUL BaTT .. 11 Isometric Families of Kahler Structures EUGENIO CALABI. . 23 Two Applications of Algebraic Geometry to Entire Holomorphic Mappings MARK GREEN AND PHILLIP GRIFFITHS. • . . . • . . 41 The Canonical Map for Certain Hilbert Modular Surfaces F. HIRZEBRUCH . . . . . • . . . . . . . . . 75 Tight Embeddings and Maps. Submanifolds of Geometrical Class Three in EN NICOLAAS H. KUIPER .

About the author

Chen Ning Yang was born in China, the son of a mathematics professor. He adopted Franklin as his first name in 1945 after reading the autobiography of Benjamin Franklin. Eventually, Yang studied under Enrico Fermi at the University of Chicago, where he earned his Ph.D. (1948) and then went on to make significant contributions to the theory of weak interactions in the field of particle physics and statistical mechanics. Yang is most widely known, however, for his work with Tsung-Dao Lee, for which they shared a Nobel Prize in 1957. Yang and Lee made a fundamental theoretical breakthrough by demonstrating the nonconservation of parity. As a result of their research, all scientific theories based on parity had to be reexamined. In 1964 Yang became an American citizen and assured the public in his Nobel Prize acceptance speech that he would never leave the United States because of his devotion to science, which, he believes, is primarily of Western origin.

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