Finite-dimensional integrable systems: A collection of research problems

A. V. Bolsinov, A. M. Izosimov, D. M. Tsonev

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2-15
Number of pages14
JournalJournal of Geometry and Physics
Volume115
DOIs
StatePublished - May 1 2017
Externally publishedYes

Keywords

  • Bi-Poisson algebra
  • Bi-Poisson geometry
  • Compatible Poisson brackets
  • Jordan–Kronecker invariants

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

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