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9780821814826

Mathematical Heritage of Hermann Weyl

by
  • ISBN13:

    9780821814826

  • ISBN10:

    0821814826

  • Format: Paperback
  • Copyright: 1988-08-01
  • Publisher: Amer Mathematical Society

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Summary

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

On induced representations
Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets
Representation theory and arithmetic
Noncommutative algebras and unitary representations
The oscillator semigroup
The Classical Groups and invariants of binary forms
Characters, harmonic analysis, and an $L^2$-Lefschetz formula
Perspectives on vertex operators and the Monster
Some problems in the quantization of gauge theories and string theories
Fully nonlinear elliptic equations
Surfaces in conformal geometry
Algebraic cycles, Bott periodicity and the Chern characteristic map
Uniformization of geometric structures
Elliptic invariants for differential operators
New invariants of 3- and 4-dimensional manifolds
Moduli spaces and homotopy theory
Fundamental asymmetry in physical laws
Free fermions on an algebraic curve
Table of Contents provided by Publisher. All Rights Reserved.

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