4.5 Article

Open problems, questions and challenges in finite-dimensional integrable systems

Publisher

ROYAL SOC
DOI: 10.1098/rsta.2017.0430

Keywords

integrable system; Poisson manifold; Lagrangian fibration

Funding

  1. program 'Leading Scientific Schools' [NSh-6399.2018.1]
  2. DFG
  3. Catalan Institution for Research and Advanced Studies via an ICREA Academia Prize 2016
  4. AGAUR [MTM2015-69135-P/FEDER, 2017SGR932]
  5. NSF [DMS-1510055]

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The paper surveys open problems and questions related to different aspects of integrable system 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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