Algebraic and analytic aspects of integrable systems and painleve equations
Subtitle: AMS special session on algebraic and analytic aspects of integrable systems and painleve equations : January 18, 2014, Baltimore, MD
By: Anton Dzhamay, Kenichi Maruno, Christopher M. Ormerod, editors
Series: Contemporary mathematics -- volume 651
Publisher: American Mathematical Society
Published: 2015
Place of publication: Providence, Rhode Island
Language: eng
ISBN-13: 9781470416546
Subjects: Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Applications to integrable systems; Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.).; Algebra; Difference and functional equations -- Difference equations -- Difference equations, additive; Partial differential equations -- Equations of mathematical physics and other areas of application -- NLS-like equations (nonlinear Schrödinger); Special functions (33-XX deals with the properties of functions as functions) -- Hypergeometric functions -- Generalized hypergeometric series, $.; Quantum theory -- Groups and algebras in quantum theory -- Relations with integrable systems; Painlevé equations; Congresses; Ordinary differential equations -- Differential equations in the complex domain -- Painlevé and other special equations; classification, hierarchies;; Ordinary differential equations -- Differential equations in the complex domain -- Isomonodromic deformations; Algebraic geometry -- Birational geometry -- Birational automorphisms, Cremona group and generalizations; Approximations and expansions -- Approximations and expansions -- Interpolation
Notes: Includes bibliographical references and index.