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L. D. Faddeev’s Seminar on Mathematical Physics

About this Title

Michael Semenov-Tian-Shansky, Steklov Mathematical Institute, St. Petersburg, Russia, Editor

Publication: American Mathematical Society Translations: Series 2
Publication Year: 2000; Volume 201
ISBNs: 978-0-8218-2133-6 (print); 978-1-4704-3412-0 (online)
DOI: https://doi.org/10.1090/trans2/201
MathSciNet review: MR1772280
MSC: Primary 00B15; Secondary 37-06, 81-06

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Table of Contents

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Front/Back Matter

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Chapters

• M. A. Semenov-Tian-Shansky – Some personal historic notes on our seminar
• A. Alekseev and E. Meinrenken – An elementary derivation of certain classical dynamical $r$-matrices
• I. Ya. Aref′eva and O. A. Rytchkov – Incidence matrix description of intersecting $p$-brane solutions
• A. I. Bobenko and Yu. B. Suris – A discrete time Lagrange top and discrete elastic curves
• A. M. Budylin and V. S. Buslaev – The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation
• R. M. Kashaev and A. Yu. Volkov – From the tetrahedron equation to universal $R$-matrices
• A. N. Kirillov – On some quadratic algebras
• V. Korepin and N. Slavnov – Quantum inverse scattering method and correlation functions
• A. Losev, N. Nekrasov and S. Shatashvili – Testing Seiberg-Witten solution
• J. M. Maillet and J. Sanchez de Santos – Drinfeld twists and algebraic Bethe ansatz
• V. B. Matveev – Darboux transformations, covariance theorems and integrable systems
• A. L. Pirozerski and M. A. Semenov-Tian-Shansky – Generalized $q$-deformed Gelfand-Dickey structures on the group of $q$-pseudodifference operators
• A. K. Pogrebkov – On time evolutions associated with the nonstationary Schrödinger equation
• N. Reshetikhin and L. A. Takhtajan – Deformation quantization of Kähler manifolds
• E. K. Sklyanin – Canonicity of Bäcklund transformation: $r$-matrix approach. I
• F. A. Smirnov – Quasi-classical study of form factors in finite volume
• V. Tarasov – Completeness of the hypergeometric solutions of the $qKZ$ equation at level zero