Proceedings of the Summer Research Institute on Theta Functions held at Bowdoin College, Brunswick, Me., July 6-24, 1987; sponsored by the American Mathematical Society.

Includes bibliographical references.

Systems of linear differential equations of infinite order: An aspect of infinite analysis / Takahiro Kawai -- A particular partition of unity: an auxiliary tool in Hodge theory / Masaki Kashiwara and Takahiro Kawai -- Is there an infinite-dimensional algebraic geometry? Hints from KdV / H. P. McKean -- A correspondence between an infinite Grassmannian and arbitrary vector bundles on algebraic curves / Motohico Mulase -- The KP hierarchy and infinite-dimensional Grassmann manifolds / Mikio Sato -- Some geometrical techniques in integrable systems / Mark Adler -- Generalized theta functions and homoclinic varieties / N. Ercolani -- Explicit equations for the KP and MKP hierarchies / Shi Rong Lu -- Introduction to algebraic integrable systems and their Painlev�e analysis / Pierre van Moerbeke -- Polynomial $\tau $-functions for the AKNS hierarchy / Robert L. Sachs -- Integrable systems as deformations of $\mathcal {D}$-modules / Kanehisa Takasaki -- The infinite wedge representation and the reciprocity law for algebraic curves / E. Arbarello, C. De Concini and V. G. Kac -- Exceptional hierarchies of soliton equations / Victor G. Kac and Minoru Wakimoto -- Unitary representations of some infinite-dimensional Lie algebras / Andrew Pressley and Vyjayanthi Chari -- On highest weight and Fock space representations of the Virasoro algebra / A. Rocha-Caridi -- Modular forms, strings, and ghosts / Gregg J. Zuckerman -- Solution of Hirota's discrete-time Toda lattice equation and the critical correlations in the $Z$-invariant Ising model / Helen Au-Yang and Jacques H. H. Perk -- Solvable lattice models / Etsur�o Date, Michio Jimbo, Tetsuji Miwa and Masato Okado -- Theta function identities in a series of solvable lattice models / Atsuo Kuniba -- Star-triangle equations, quantum Lax pairs, and higher genus curves / Jacques H. H. Perk -- Introduction to exactly solvable models in statistical mechanics / Craig A. Tracy -- Introduction to holonomic quantum fields for mathematicians / Michio Jimbo -- Quantum field theory: a guide for mathematicians / Emil Martinec -- A conformal field theory on Riemann surfaces realized as quantized moduli theory of Riemann surfaces / Yukihiko Namikawa -- The physics of string theory / A. Neveu -- Schottky-Jung theory / Hershel M. Farkas -- Schottky relations on $\frac 12(C-C)$ / John Fay -- Analytic identities for theta functions / R. C. Gunning -- Translation manifolds and the Schottky problem / John B. Little -- Mappings of closed Riemann surfaces / Henrik H. Martens -- Geometric characterization of Jacobians and the Schottky equations / Jos�e Ma. Mu�noz Porras -- Vector bundles over curves and solutions of the KP equations / Emma Previato and George Wilson -- Deformations of singular points on theta divisors / Roy Smith and Robert Varley -- Uniformization, local index theorem, and geometry of the moduli spaces of Riemann surfaces and vector bundles / L. A. Takhtajan -- Explicit actions of the theta groups for theta divisors on Jacobian surfaces / Noriaki Yamawaki -- Prym varieties: A survey / Arnaud Beauville -- The trisecant conjecture for Pryms / Olivier Debarre -- Spectral curves, simple Lie algebras, and Prym-Tjurin varieties / Vassil Kanev -- A new look for thetas / Iacopo Barsotti -- The cube structure on the determinant bundle / L. Breen -- Unramified Abelian extensions of Galois covers / Michael D. Fried and Helmut V�olklein -- On twisted Legendre equations and Kummer surfaces / William L. Hoyt --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.