Research problems on relations between Nijenhuis geometry and integrable systems
Differential Geometry
2024-10-08 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The paper surveys open problems and questions related to interplay between the theory of integrable systems with infinitely and finitely many degrees of freedom and Nijenhuis geometry. This text has grown out from preparatory materials for the series of research symposia and workshops on Nijenhuis geometry and integrable systems held at SMRI (Sydney) and MATRIX (Creswick) in February 2022 and at La Trobe University (Melbourne) and MATRIX in February 2024, and from the open problem sessions at these events. It includes both relatively simple questions to get familiar with the topic, as well as challenging problems that are of great importance for the field.
Keywords
Cite
@article{arxiv.2410.04276,
title = {Research problems on relations between Nijenhuis geometry and integrable systems},
author = {Alexey V. Bolsinov and Andrey Yu. Konyaev and Vladimir S. Matveev},
journal= {arXiv preprint arXiv:2410.04276},
year = {2024}
}
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35 pages