# Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II

## TL;DR

This paper reviews open problems and recent progress in random matrix theory and integrable systems, highlighting ongoing research challenges and advancements discussed at a 2015 conference and in earlier work.

## Contribution

It compiles a list of open problems in the field and reports on progress made since a previous related publication, advancing understanding of key issues.

## Key findings

- Progress on open problems in random matrix theory
- Identification of key challenges in integrable systems
- Updated research directions from recent conference

## Abstract

We describe a list of open problems in random matrix theory and the theory of integrable systems that was presented at the conference Asymptotics in Integrable Systems, Random Matrices and Random Processes and Universality, Centre de Recherches Mathematiques, Montreal, June 7-11, 2015. We also describe progress that has been made on problems in an earlier list presented by the author on the occasion of his 60th birthday in 2005 (see [Deift P., Contemp. Math., Vol. 458, Amer. Math. Soc., Providence, RI, 2008, 419-430, arXiv:0712.0849]).