Known to the general mathematic community as the inverse scattering transform method or soliton theory, the area covered in this volume is the role that isomonodromic deformations play in the theory of integrable systems and their applications in physics. Based on lectures given at the May 2000 conference, each of the 15 papers presented by Harnad (mathematics, U. of Montreal) and Its (mathematical sciences, Indiana U. -Purdue U. Indianapolis) deal with theory and application to greater or lesser extents. Topics include classical solutions of Schlesinger equations and twistor theory; Jacobi groups, Jacobi forms, and their transformations; symmetry, the Chazy equation, and Chazy hierarchies; universal correlations of one-dimensional electron s and low density; hypergeometric functions related to Schur functions and integrable systems; and the partition function of the six-vertex model as a Fredholm determinant. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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