Applications are closed
for this workshop

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

This workshop, sponsored by AIM and the NSF, 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.

The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

The deadline to apply for support to participate in this workshop has passed.

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