Mathematical aspects of physics with non-self-adjoint operators
June 8 to June 12, 2015
American Institute of Mathematics,
Palo Alto, California
and Petr Siegl
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
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.
- Spectrum, resonances and pseudospectra.
- Basis properties of eigenvectors.
- Microlocal and semiclassical methods.
- Numerical computation of spectra.
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
Papers arising from the workshop: