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Russian Mathematical Surveys, 2017, Volume 72, Issue 6, Pages 977–1081
DOI: https://doi.org/10.1070/RM9799
(Mi rm9799)
 

This article is cited in 6 scientific papers (total in 6 papers)

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

L. A. Takhtajanab, A. Yu. Alekseevc, I. Ya. Aref'evad, M. A. Semenov-Tian-Shanskyef, E. K. Sklyaning, F. A. Smirnovh, S. L. Shatashviliijkl

a L. Euler International Mathematical Institute
b Stony Brook University, USA
c University of Geneva, Switzerland
d Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
e St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
f Institut de Mathématiques de Bourgogne, Université de Bourgogne, Dijon, France
g University of York, York, UK
h Sorbonne Université, UPMC Univ Paris 06, CNRS, UMR 7589, LPTHE
i The Hamilton Mathematics Institute, The School of Mathematics, Trinity College Dublin, Ireland
j Simons Center for Geometry and Physics, Stony Brook University, USA
k Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France
l Institute for Information Transmission Problems (A. A. Kharkevich Instutute) of the Russian Academy of Sciences, Laboratory no. 5
References:
Abstract: 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.
Bibliography: 130 titles.
Keywords: Schrödinger operator, eigenfunction expansion, scattering theory, inverse scattering problem, Korteweg–de Vries equation, complete integrability, inverse scattering method, Yang–Baxter equation, quantum inverse problem method, algebraic Bethe ansatz, quantum groups, quantum dilogarithm, quantization of gauge fields, Faddeev–Popov ghosts, quantum anomalies.
Funding agency Grant number
Simons Foundation
Russian Academy of Sciences - Federal Agency for Scientific Organizations PRAS-18-02
Royal Society Leverhulme Trust Senior Reserch Fellow
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).
Received: 28.08.2017
Bibliographic databases:
Document Type: Article
UDC: 512.54+517.84+517.98
Language: English
Original paper language: Russian
Citation: L. A. Takhtajan, A. Yu. Alekseev, I. Ya. Aref'eva, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, S. L. Shatashvili, “Scientific heritage of L. D. Faddeev. Survey of papers”, Russian Math. Surveys, 72:6 (2017), 977–1081
Citation in format AMSBIB
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\by L.~A.~Takhtajan, A.~Yu.~Alekseev, I.~Ya.~Aref'eva, M.~A.~Semenov-Tian-Shansky, E.~K.~Sklyanin, F.~A.~Smirnov, S.~L.~Shatashvili
\paper Scientific heritage of L.\,D.~Faddeev. Survey of papers
\jour Russian Math. Surveys
\yr 2017
\vol 72
\issue 6
\pages 977--1081
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Linking options:
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
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    Abstract page:1218
    Russian version PDF:298
    English version PDF:43
    References:104
    First page:117
     
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