Open Problems, Questions, and Challenges in Finite-Dimensional Integrable Systems

TL;DR

This paper surveys open problems and challenges in finite-dimensional integrable systems, highlighting unresolved questions and research directions discussed at a 2017 conference, aiming to guide future investigations in the field.

Contribution

It compiles and discusses key open problems in finite-dimensional integrable systems, providing a comprehensive overview of unresolved issues and research questions.

Findings

Identifies major open problems in finite-dimensional integrable systems

Summarizes research questions posed by experts at FDIS 2017 conference

Highlights future directions for research in the field

Abstract

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