Table of Contents

On induced representations by R. Bott Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual Cantor sets by D. Sullivan Representation theory and arithmetic by R. P. Langlands Noncommutative algebras and unitary representations by D. A. Vogan, Jr. The oscillator semigroup by R. Howe The Classical Groups and invariants of binary forms by R. Howe Characters, harmonic analysis, and an $L^2$-Lefschetz formula by J. Arthur Perspectives on vertex operators and the Monster by J. Lepowsky Some problems in the quantization of gauge theories and string theories by I. M. Singer Fully nonlinear elliptic equations by L. Nirenberg Surfaces in conformal geometry by R. L. Bryant Algebraic cycles, Bott periodicity and the Chern characteristic map by H. B. Lawson, Jr. and M.-L. Michelsohn Uniformization of geometric structures by S.-T. Yau Elliptic invariants for differential operators by R. G. Douglas New invariants of 3- and 4-dimensional manifolds by M. Atiyah Moduli spaces and homotopy theory by C. H. Taubes Fundamental asymmetry in physical laws by R. Penrose Free fermions on an algebraic curve by E. Witten.