Includes bibliographical references.

Inverse problems for linear differential equations with meromorphic coefficients ; Virasoro generators and bilinear equations for isomonodromic tau functions ; Lax pairs for Painleve equations ; Isomonodromic deformations and Hurwitz spaces ; Classical solutions of Schlesinger equations and twistor theory ; geometry and isomonodromic deformations ; Airy kernel and Painleve II ; Jacobi groups, Jacobi forms and their applications ; Symmetry, the Chazy equation and Chazy hierarchies ; Universal correlations of one-dimensional electrons at low density ; A quantum version of the inverse scattering transformation ; Continued fractions and integrable systems ; Hypergeometric functions related to Schur functions and integrable systems ; Ising model scaling functions at short distance ; The partition function of the six-vertex model as a Fredholm determinant