Mathematical aspects of physics with non-self-adjoint operators

June 8 to June 12, 2015

at the

American Institute of Mathematics, San Jose, California

organized by

Lyonell Boulton, David Krejcirik, and Petr Siegl

Original Announcement

This workshop will emphasize the state-of-the-art techniques for the mathematically rigorous analysis of non-self-adjoint phenomena encountered in main stream and newly developing fields of physics. Its main goal is to facilitate interdisciplinary collaborations across the mathematical analysis and mathematical physics community, and is a follow up of similar events held in Prague (2010) and Edinburgh (2013).

The workshop will focus on four concrete topics for linear differential operators and pencils.

Spectrum, resonances and pseudospectra.
Basis properties of eigenvectors.
Microlocal and semiclassical methods.
Numerical computation of spectra.

The program of open problem and discussion sessions will concentrate on these aspects for models from superconductivity, hydrodynamics, graphene, PT-symmetric quantum mechanics, and optics.