Some open problems in random matrix theory and the theory of integrable systems

TL;DR

This paper presents a collection of unresolved questions in random matrix theory and integrable systems discussed at a 2006 conference, highlighting key open problems in these mathematical fields.

Contribution

It compiles and discusses open problems in random matrix theory and integrable systems from a 2006 conference, guiding future research directions.

Findings

List of open problems in random matrix theory.

List of open problems in integrable systems.

Guidance for future research in these areas.

Abstract

We describe a list of open problems in random matrix theory and integrable systems which was presented at the conference ``Integrable Systems, Random Matrices, and Applications'' at the Courant Institute in May 2006.