TY - JOUR
T1 - Open problems, questions and challenges in finitedimensional integrable systems
AU - Bolsinov, Alexey
AU - Matveev, Vladimir S.
AU - Miranda, Eva
AU - Tabachnikov, Serge
N1 - Funding Information:
A.B. is supported by the program 'Leading Scientific Schools' (grant no. NSh-6399.2018.1). V.M. is supported by the DFG. E.M. is supported by the Catalan Institution for Research and Advanced Studies via an ICREA Academia Prize 2016 and partially supported by the grant nos. MTM2015-69135-P/FEDER and 2017SGR932 (AGAUR). S.T. was supported by NSF grant no. DMS-1510055.
Funding Information:
Data accessibility. This article has no additional data. Competing interests. We declare we have no competing interests. Funding. A.B. is supported by the program ‘Leading Scientific Schools’ (grant no. NSh-6399.2018.1). V.M. is supported by the DFG. E.M. is supported by the Catalan Institution for Research and Advanced Studies via an ICREA Academia Prize 2016 and partially supported by the grant nos. MTM2015-69135-P/FEDER and 2017SGR932 (AGAUR). S.T. was supported by NSF grant no. DMS-1510055. Acknowledgements. We are grateful to our colleagues who responded to our request to share open problems and conjectures on finite-dimensional integrable systems with us: M. Bialy, D. Bouloc, H. Dullin, A. Glutsyuk, A. Izosimov, V. Kaloshin, R. Kenyon, B. Khesin, A. Pelayo, V. Retakh, V. Roubtsov, D. Treschev, S. Vu Ngo.c and N. Zung. We thank the referees of this paper for their useful comments and suggestions.
Publisher Copyright:
© 2018 The Author(s) Published by the Royal Society. All rights reserved.
PY - 2018/10/28
Y1 - 2018/10/28
N2 - The paper surveys open problems and questions related to different aspects of integrable systems with finitely many degrees of freedom. Many of the open problems were suggested by the participants of the conference 'Finite-dimensional Integrable Systems, FDIS 2017' held at CRM, Barcelona in July 2017. This article is part of the theme issue 'Finite dimensional integrable systems: new trends and methods'.
AB - The paper surveys open problems and questions related to different aspects of integrable systems with finitely many degrees of freedom. Many of the open problems were suggested by the participants of the conference 'Finite-dimensional Integrable Systems, FDIS 2017' held at CRM, Barcelona in July 2017. This article is part of the theme issue 'Finite dimensional integrable systems: new trends and methods'.
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U2 - 10.1098/rsta.2017.0430
DO - 10.1098/rsta.2017.0430
M3 - Review article
C2 - 30224421
AN - SCOPUS:85054131029
SN - 1364-503X
VL - 376
JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2131
M1 - 20170430
ER -