#
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.

## Material from the workshop

A list of participants.
The workshop schedule.

A report on the workshop activities.

A list of open problems.

**Slides from presentations**

Mark Embree

Marianna Shubov

Michael Levitin

Marcel Hansmann

Kwang Shin

Sabine Bögli

Papers arising from the workshop: