Proceedings of Symposia in Pure Mathematics 1988; 344 pp; softcover Volume: 48 Reprint/Revision History: fourth printing 2000 ISBN10: 0821814826 ISBN13: 9780821814826 List Price: US$47 Member Price: US$37.60 Order Code: PSPUM/48
 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. Table of Contents  R. Bott  On induced representations
 D. Sullivan  Differentiable structures on fractallike sets, determined by intrinsic scaling functions on dual Cantor sets
 R. P. Langlands  Representation theory and arithmetic
 D. A. Vogan, Jr.  Noncommutative algebras and unitary representations
 R. Howe  The oscillator semigroup
 R. Howe  The Classical Groups and invariants of binary forms
 J. Arthur  Characters, harmonic analysis, and an \(L^2\)Lefschetz formula
 J. Lepowsky  Perspectives on vertex operators and the Monster
 I. M. Singer  Some problems in the quantization of gauge theories and string theories
 L. Nirenberg  Fully nonlinear elliptic equations
 R. L. Bryant  Surfaces in conformal geometry
 H. B. Lawson, Jr. and M.L. Michelsohn  Algebraic cycles, Bott periodicity and the Chern characteristic map
 S.T. Yau  Uniformization of geometric structures
 R. G. Douglas  Elliptic invariants for differential operators
 M. Atiyah  New invariants of 3 and 4dimensional manifolds
 C. H. Taubes  Moduli spaces and homotopy theory
 R. Penrose  Fundamental asymmetry in physical laws
 E. Witten  Free fermions on an algebraic curve
