TY - BOOK AU - Ehrenpreis,Leon AU - Gunning,R.C. ED - Summer Research Institute on Theta Functions ED - American Mathematical Society. TI - Theta functions, Bowdoin 1987 T2 - Proceedings of symposia in pure mathematics, SN - 9780821893449 (online) AV - QA345 .S86 1987 U1 - 515/.984 20 PY - 1989/// CY - Providence, R.I. PB - American Mathematical Society KW - Functions, Theta KW - Congresses N1 - 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 --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013121; A particular partition of unity: an auxiliary tool in Hodge theory; Masaki Kashiwara and Takahiro Kawai --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013122; Is there an infinite-dimensional algebraic geometry? Hints from KdV; H. P. McKean --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013123; A correspondence between an infinite Grassmannian and arbitrary vector bundles on algebraic curves; Motohico Mulase --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013124; The KP hierarchy and infinite-dimensional Grassmann manifolds; Mikio Sato --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013125; Some geometrical techniques in integrable systems; Mark Adler --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013126; Generalized theta functions and homoclinic varieties; N. Ercolani --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013127; Explicit equations for the KP and MKP hierarchies; Shi Rong Lu --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013128; Introduction to algebraic integrable systems and their Painlev�e analysis; Pierre van Moerbeke --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013129; Polynomial $\tau $-functions for the AKNS hierarchy; Robert L. Sachs --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013130; Integrable systems as deformations of $\mathcal {D}$-modules; Kanehisa Takasaki --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013131; The infinite wedge representation and the reciprocity law for algebraic curves; E. Arbarello, C. De Concini and V. G. Kac --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013132; Exceptional hierarchies of soliton equations; Victor G. Kac and Minoru Wakimoto --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013133; Unitary representations of some infinite-dimensional Lie algebras; Andrew Pressley and Vyjayanthi Chari --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013134; On highest weight and Fock space representations of the Virasoro algebra; A. Rocha-Caridi --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013135; Modular forms, strings, and ghosts; Gregg J. Zuckerman --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013136; 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 --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013137; Solvable lattice models; Etsur�o Date, Michio Jimbo, Tetsuji Miwa and Masato Okado --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013138; Theta function identities in a series of solvable lattice models; Atsuo Kuniba --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013139; Star-triangle equations, quantum Lax pairs, and higher genus curves; Jacques H. H. Perk --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013140; Introduction to exactly solvable models in statistical mechanics; Craig A. Tracy --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013141; Introduction to holonomic quantum fields for mathematicians; Michio Jimbo --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013142; Quantum field theory: a guide for mathematicians; Emil Martinec --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013143; A conformal field theory on Riemann surfaces realized as quantized moduli theory of Riemann surfaces; Yukihiko Namikawa --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013144; The physics of string theory; A. Neveu --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013145; Schottky-Jung theory; Hershel M. Farkas --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013146; Schottky relations on $\frac 12(C-C)$; John Fay --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013147; Analytic identities for theta functions; R. C. Gunning --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013148; Translation manifolds and the Schottky problem; John B. Little --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013149; Mappings of closed Riemann surfaces; Henrik H. Martens --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013150; Geometric characterization of Jacobians and the Schottky equations; Jos�e Ma. Mu�noz Porras --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013151; Vector bundles over curves and solutions of the KP equations; Emma Previato and George Wilson --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013152; Deformations of singular points on theta divisors; Roy Smith and Robert Varley --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013153; Uniformization, local index theorem, and geometry of the moduli spaces of Riemann surfaces and vector bundles; L. A. Takhtajan --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013154; Explicit actions of the theta groups for theta divisors on Jacobian surfaces; Noriaki Yamawaki --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013155; Prym varieties: A survey; Arnaud Beauville --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013156; The trisecant conjecture for Pryms; Olivier Debarre --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013157; Spectral curves, simple Lie algebras, and Prym-Tjurin varieties; Vassil Kanev --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013158; A new look for thetas; Iacopo Barsotti --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013159; The cube structure on the determinant bundle; L. Breen --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013160; Unramified Abelian extensions of Galois covers; Michael D. Fried and Helmut V�olklein --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013161; On twisted Legendre equations and Kummer surfaces; William L. Hoyt --; http://www.ams.org/pspum/049.1; http://dx.doi.org/10.1090/pspum/049.1/1013162; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/pspum/049.1 UR - http://dx.doi.org/10.1090/pspum/049.1 ER -