Spectral Theory and Applications

Scientific Content

Spectral theory, particularly of operators describing periodic and almost periodic media, has been a mainstream area of mathematical physics for several decades.  It is a powerful tool in predicting the behavior of various physical systems and in solving inverse problems, where causes for a desired or observed effect are to be determined.  The applications range from classical and quantum mechanics to chemical reactions, biological processes, and fluid dynamics.

The field has yielded fascinating developments by integrating spectral methods with various other techniques, such as partial differential equations, harmonic analysis, real and complex algebraic geometry, number theory, and topology.  It played a crucial role in recent discoveries such as graphene, topological insulators, quasicrystals, and metamaterials.

The primary goal of the conference is to provide a platform for researchers from diverse backgrounds who share a common interest in fundamental questions related to the analysis of quantum systems through spectral methods. The conference will feature invited lectures from leading experts in spectral theory and related fields, as well as contributed and poster presentations. We will also celebrate Peter Kuchment and his contributions to the field.