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Finite-dimensional integrable systems: a collection of research problems

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journal contribution
posted on 11.11.2016 by Alexey Bolsinov, Anton Izosimov, Dragomir Tsonev
This article suggests a series of problems related to various algebraic and geometric aspects of integrability. They reflect some recent developments in the theory of finite-dimensional integrable systems such as bi-Poisson linear algebra, Jordan-Kronecker invariants of finite dimensional Lie algebras, the interplay between singularities of Lagrangian fibrations and compatible Poisson brackets, and new techniques in projective geometry.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Journal of Geometry and Physics

Citation

BOLSINOV, A.V., IZOSIMOV, A. and TSONEV, D., 2016. Finite-dimensional integrable systems: a collection of research problems. Journal of Geometry and Physics, 115, pp. 2-15.

Publisher

© Elsevier

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

03/11/2016

Publication date

2016

Notes

This paper was accepted for publication in the journal Journal of Geometry and Physics and the definitive published version is available at http://dx.doi.org/10.1016/j.geomphys.2016.11.003.

ISSN

0393-0440

Language

en

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