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Uspekhi Mat. Nauk, 2017, Volume 72, Issue 6(438), Pages 3–112 (Mi umn9799)  

This article is cited in 4 scientific papers (total in 4 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

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).


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English version:
Russian Mathematical Surveys, 2017, 72:6, 977–1081

Bibliographic databases:

UDC: 512.54+517.84+517.98
MSC: 01A70, 16T25, 17B37, 35J10, 35P25, 35Q53, 35Q55, 37K15, 58B32, 58J52, 70S15, 81-03, 81R50, 81S40, 81T10, 81T13, 81T50, 81T70, 81U40, 82B23, 82C23
Received: 28.08.2017

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”, Uspekhi Mat. Nauk, 72:6(438) (2017), 3–112; Russian Math. Surveys, 72:6 (2017), 977–1081

Citation in format AMSBIB
\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 Uspekhi Mat. Nauk
\yr 2017
\vol 72
\issue 6(438)
\pages 3--112
\jour Russian Math. Surveys
\yr 2017
\vol 72
\issue 6
\pages 977--1081

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    This publication is cited in the following articles:
    1. A. Its, N. Reshetikhin, “Preface: Introduction to special issue: in memory of Ludwig Faddeev”, J. Math. Phys., 59:9 (2018), 091201, 7 pp.  crossref  mathscinet  zmath  isi  scopus
    2. D. R. Morrison, “Geometry and physics: an overview”, Topology and Quantum Theory in Interaction, Contemporary Mathematics, 718, eds. D. Ayala, D. Freed, R. Grady, Amer. Math. Soc., 2018, 1–13  crossref  mathscinet  isi  scopus
    3. Alexander Moll, “Exact Bohr–Sommerfeld Conditions for the Quantum Periodic Benjamin–Ono Equation”, SIGMA, 15 (2019), 098, 27 pp.  mathnet  crossref
    4. L. A. Takhtadzhyan, “Etyudy o rezolvente”, UMN, 75:1(451) (2020), 155–194  mathnet  crossref
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