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Scientific heritage of L.D. Faddeev. Survey of papers

Authors :
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)
Institut des Hautes Études Scientifiques (IHES)
Source :
Russian Mathematical Surveys, Russian Mathematical Surveys, Turpion, 2017, 72 (6), pp.977-1081. ⟨10.1070/RM9799⟩, Russian Mathematical Surveys, 2017, 72 (6), pp.977-1081. ⟨10.1070/RM9799⟩
Publication Year :
2017
Publisher :
IOP Publishing, 2017.

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.

Subjects

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

Details

ISSN :
14684829 and 00360279
Volume :
72
Database :
OpenAIRE
Journal :
Russian Mathematical Surveys
Accession number :
edsair.doi.dedup.....86436107e7581fee42e97ae5d24d1714

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