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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 48; 1988; 344 ppMSC: Primary 00; 01
Hermann Weyl was one of the most influential mathematicians of the twentieth century. Viewing mathematics as an organic whole rather than a collection of separate subjects, Weyl made profound contributions to a wide range of areas, including analysis, geometry, number theory, Lie groups, and mathematical physics, as well as the philosophy of science and of mathematics. The topics he chose to study, the lines of thought he initiated, and his general perspective on mathematics have proved remarkably fruitful and have formed the basis for some of the best of modern mathematical research.
This volume contains the proceedings of the AMS Symposium on the Mathematical Heritage of Hermann Weyl, held in May 1987 at Duke University. In addition to honoring Weyl's great accomplishments in mathematics, the symposium also sought to stimulate the younger generation of mathematicians by highlighting the cohesive nature of modern mathematics as seen from Weyl's ideas. The symposium assembled a brilliant array of speakers and covered a wide range of topics. All of the papers are expository and will appeal to a broad audience of mathematicians, theoretical physicists, and other scientists.
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Table of Contents
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Articles
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Raoul Bott — On induced representations [ MR 974328 ]
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Dennis Sullivan — Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets [ MR 974329 ]
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R. P. Langlands — Representation theory and arithmetic [ MR 974330 ]
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David A. Vogan, Jr. — Noncommutative algebras and unitary representations [ MR 974331 ]
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Roger Howe — The oscillator semigroup [ MR 974332 ]
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Roger Howe — The classical groups and invariants of binary forms [ MR 974333 ]
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James Arthur — Characters, harmonic analysis, and an $L^2$-Lefschetz formula [ MR 974334 ]
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J. Lepowsky — Perspectives on vertex operators and the Monster [ MR 974335 ]
-
I. M. Singer — Some problems in the quantization of gauge theories and string theories [ MR 974336 ]
-
L. Nirenberg — Fully nonlinear elliptic equations [ MR 974337 ]
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Robert L. Bryant — Surfaces in conformal geometry [ MR 974338 ]
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H. Blaine Lawson, Jr. and Marie-Louise Michelsohn — Algebraic cycles, Bott periodicity, and the Chern characteristic map [ MR 974339 ]
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S.-T. Yau — Uniformization of geometric structures [ MR 974340 ]
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R. G. Douglas — Elliptic invariants for differential operators [ MR 974341 ]
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Michael Atiyah — New invariants of $3$- and $4$-dimensional manifolds [ MR 974342 ]
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Clifford Henry Taubes — Moduli spaces and homotopy theory [ MR 974343 ]
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R. Penrose — Fundamental asymmetry in physical laws [ MR 974344 ]
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Edward Witten — Free fermions on an algebraic curve [ MR 974345 ]
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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Hermann Weyl was one of the most influential mathematicians of the twentieth century. Viewing mathematics as an organic whole rather than a collection of separate subjects, Weyl made profound contributions to a wide range of areas, including analysis, geometry, number theory, Lie groups, and mathematical physics, as well as the philosophy of science and of mathematics. The topics he chose to study, the lines of thought he initiated, and his general perspective on mathematics have proved remarkably fruitful and have formed the basis for some of the best of modern mathematical research.
This volume contains the proceedings of the AMS Symposium on the Mathematical Heritage of Hermann Weyl, held in May 1987 at Duke University. In addition to honoring Weyl's great accomplishments in mathematics, the symposium also sought to stimulate the younger generation of mathematicians by highlighting the cohesive nature of modern mathematics as seen from Weyl's ideas. The symposium assembled a brilliant array of speakers and covered a wide range of topics. All of the papers are expository and will appeal to a broad audience of mathematicians, theoretical physicists, and other scientists.
-
Articles
-
Raoul Bott — On induced representations [ MR 974328 ]
-
Dennis Sullivan — Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets [ MR 974329 ]
-
R. P. Langlands — Representation theory and arithmetic [ MR 974330 ]
-
David A. Vogan, Jr. — Noncommutative algebras and unitary representations [ MR 974331 ]
-
Roger Howe — The oscillator semigroup [ MR 974332 ]
-
Roger Howe — The classical groups and invariants of binary forms [ MR 974333 ]
-
James Arthur — Characters, harmonic analysis, and an $L^2$-Lefschetz formula [ MR 974334 ]
-
J. Lepowsky — Perspectives on vertex operators and the Monster [ MR 974335 ]
-
I. M. Singer — Some problems in the quantization of gauge theories and string theories [ MR 974336 ]
-
L. Nirenberg — Fully nonlinear elliptic equations [ MR 974337 ]
-
Robert L. Bryant — Surfaces in conformal geometry [ MR 974338 ]
-
H. Blaine Lawson, Jr. and Marie-Louise Michelsohn — Algebraic cycles, Bott periodicity, and the Chern characteristic map [ MR 974339 ]
-
S.-T. Yau — Uniformization of geometric structures [ MR 974340 ]
-
R. G. Douglas — Elliptic invariants for differential operators [ MR 974341 ]
-
Michael Atiyah — New invariants of $3$- and $4$-dimensional manifolds [ MR 974342 ]
-
Clifford Henry Taubes — Moduli spaces and homotopy theory [ MR 974343 ]
-
R. Penrose — Fundamental asymmetry in physical laws [ MR 974344 ]
-
Edward Witten — Free fermions on an algebraic curve [ MR 974345 ]
