The Mathematical Heritage of Hermann WeylRaymond O'Neil Wells American Mathematical Soc., 1988 - 344 pàgines 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. |
Continguts
| 1 | |
Differentiable structures on fractallike sets determined by intrinsic scaling functions on dual Cantor sets | 15 |
Representation theory and arithmetic | 25 |
Noncommutative algebras and unitary representations | 35 |
The oscillator semigroup | 61 |
The Classical Groups and invariants of binary forms | 133 |
Characters harmonic analysis and an Lsup2Lefschetz formula | 167 |
Perspectives on vertex operators and the Monster | 181 |
Surfaces in conformal geometry | 227 |
Algebraic cycles Bott periodicity and the Chern characteristic map | 241 |
Uniformization of geometric structures | 265 |
Elliptic invariants for differential operators | 275 |
New invariants of 3 and 4dimensional manifolds | 285 |
Moduli spaces and homotopy theory | 301 |
Fundamental asymmetry in physical laws | 317 |
Free fermions on an algebraic curve | 329 |
Some problems in the quantization of gauge theories and string theories | 199 |
Fully nonlinear elliptic equations | 217 |
Frases i termes més freqüents
action Atiyah automorphisms Cantor set Chern classical Clifford module cohomology compact complex compute conformal connection consider construction corresponding curvature curve cycles decomposition defined definition deformation degree denote described diagram differential operator dimension eigenvalues element elliptic equation finite finite-dimensional follows formula function G-space geometry given Hamiltonian Hence Hermann Weyl Hermitian Hilbert holomorphic homogeneous homology homotopy equivalence immersion integral invariant irreducible isomorphism Kähler manifolds Lemma Lie algebra Lie group line bundle linear Math Mathematics metric module moduli space multiplication nonlinear orbit oscillator semigroup Phys physics Poisson polarization polynomial positive principal G-bundle problem Proc proof PROPOSITION quantization quantum field theory quotient Riemannian semigroup semisimple smooth Sp(W string theory structure subgroup subspace Suppose symmetric symplectic tangent theorem topological transform twisted convolution twistor unipotent unitary representations vector bundle vector space vertex operator Weyl's zero