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 language | English (US) |
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Pages (from-to) | 2-15 |
Number of pages | 14 |
Journal | Journal of Geometry and Physics |
Volume | 115 |
DOIs | |
State | Published - May 1 2017 |
Externally published | Yes |
Keywords
- Bi-Poisson algebra
- Bi-Poisson geometry
- Compatible Poisson brackets
- Jordan–Kronecker invariants
ASJC Scopus subject areas
- Mathematical Physics
- General Physics and Astronomy
- Geometry and Topology