## Advances in Spectral Theory: LMS-Bath Symposium

**Date:**
15 - 26 July 2024

**Location: ** University of Bath

**Event type:**
Symposium

**Organisers: ** Jeffrey Galkowski (UCL), Lean Lagacé (KCL), Leonid Parnovski (UCL), Alex Sobolev (UCL), Sasha Sodin (QMUL)

Spectral theory (ST) is a relatively old and well-established subject within mathematics. In addition to a great number of important results of intrinsic interest and value, spectral theory has a number of applications and interconnections to various parts of mathematics, ranging from mathematical physics to number theory; representation theory to geometric analysis. Three such areas that have seen a surge of exciting results in the last ten years are: periodic and almost-periodic operators, random matrices and operators, and spectral geometry.

The INI-Bath symposium will consist of a one week summer school followed by a one week conference. The first week will consist of 6 short courses in topics of recent interest in periodic and almost-periodic operators, random matrices and operators, and spectral geometry. The goal of these courses will be to introduce non-experts; both junior researchers and researchers from the two other fields to some methods that have been instrumental in recent advances. The courses will also prepare junior researchers to understand the conference in the following week and help them to attack future problems in the area. The conference will then consist of approximately 25-30 talks by leaders in these fields.

CMI Enhancement and Partnership Program