1. Scientific heritage of L.D. Faddeev. Survey of papers
- Author
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M. A. Semenov-Tian-Shansky, I. Ya. Aref'eva, Evgeny Sklyanin, A. Yu. Alekseev, Samson L. Shatashvili, F. A. Smirnov, Leon A. Takhtajan, Euler International Mathematical Institute [St. Petersburg], Stony Brook University [SUNY] (SBU), State University of New York (SUNY), University of Geneva [Switzerland], Steklov Mathematical Institute [Moscow] (SMI), Russian Academy of Sciences [Moscow] (RAS), Institut de Mathématiques de Bourgogne [Dijon] (IMB), Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université de Bourgogne (UB), University of York [York, UK], Université Pierre et Marie Curie - Paris 6 (UPMC), Institut des Hautes Etudes Scientifiques (IHES), IHES, Trinity College Dublin, Institute for Information Transmission Problems, The work of Semenov-Tian-Shansky was supported by the Presidium of the Russian Academy of Sciences programme no. 02 'Non-linear dynamics: fundamental problems and applications' (grant no. PRAS-18-02). Sklyanin worked as a Royal Society Leverhulme Trust Senior Research Fellow. The work of Shatashvili was supported by the Simons Foundation under the programme 'Targeted Grants to Institutes' (The Hamilton Mathematics Institute)., Université de Genève = University of Geneva (UNIGE), Université de Bourgogne (UB)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Centre National de la Recherche Scientifique (CNRS), and Institut des Hautes Études Scientifiques (IHES)
- Subjects
Inverse scattering problem ,Scattering theory ,General Mathematics ,Yang-Baxter equation ,Inverse scattering method ,Quantum groups ,01 natural sciences ,AMS 2010 Mathematics Subject Classification. Primary 01A70, 16T25, 17B37, 35J10, 35P25,35Q53, 35Q55, 37K15, 58B32, 58J52, 70S15, 81-03, 81R50, 81S40, 81T10, 81T13, 81T50, 81T70,81U40, 82B23, 82C23 ,Eigenfunction expansion ,[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] ,Quantization of gauge fields ,Korteweg-de Vries equation ,0103 physical sciences ,Schrodinger operator ,0101 mathematics ,Korteweg–de Vries equation ,Mathematics ,Mathematical physics ,Quantum anomalies ,010308 nuclear & particles physics ,Yang–Baxter equation ,Faddeev-Popov ghosts ,010102 general mathematics ,Algebraic Bethe ansatz ,Quantum dilogarithm ,Complete integrability ,Quantum inverse problem method - Abstract
International audience; This survey was written by students of L. D. Faddeev under the editorship of L. A. Takhtajan. Sections 1.1, 1.2, 2–4, and 6 were written by Takhtajan, §§1.3 and 1.4 by F. A. Smirnov, §§5.1 and 5.2 by E. K. Sklyanin, §§5.3–5.6 by Sklyanin, Smirnov, and Takhtajan, §7.1 by M. A. Semenov- Tian-Shansky, §§7.2–7.6 by Takhtajan and S. L. Shatashvili, §7.7 by A. Yu. Alekseev and Shatashvili, and §8 by I. Ya. Aref'eva.
- Published
- 2017