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The present meeting is a follow-up to the ESF-funded Exploratory Workshop with the same title held in Prague in 2010: Our main objective is to facilitate interdisciplinary collaborations across the mathematical physics community and the mathematical analysis community, with a special emphasis on state-of-the-art techniques for the study and application of the theory of non-self-adjoint operators. In Edinburgh the workshop will address modern techniques for the mathematically rigourous justification of non-self-adjoint phenomena encountered in the newly developing fields of:
We hope it will foster contact between leading academics and young researches with potential. Most delegates belong to research communities (mathematical and physical sciences) that would not normally interact with each other. By bringing them together and by motivating exchange of mathematical ideas, we hope they will generate the development of new research trends. During the meeting, there will be plenty of opportunity for discussion sessions. The programme will be organised with a single stream of keynote sessions, alternating with open problem sessions. |
| G. Bouchitte | Multi-scale approach and resonances in metamaterials | abstract | presentation |
| E. B. Davies | The History of Science is not as simple as it seems | abstract | presentation |
| M. Demuth | On eigenvalues of non-selfadjoint operators; A comparison of two approaches | abstract | presentation |
| W. D. Evans | Bounded operators in Banach spaces and nonlinear eigenvalue problems | abstract | presentation |
| H. Langer | Continuation of Hermitian functions and inverse spectral problems | abstract | presentation |
| M. Levitin | Eigenvalues of the operator pencil for a graphene waveguide | abstract | presentation |
| M. Marletta | Numerical approaches to singular non-selfadjoint differential operators: a review | abstract | presentation |
| B. Mityagin | Geometric and analytic criteria for convergence of eigenfunction decompositions of Hill and 1D Dirac operators | abstract | |
| S. Naboko | Operators with Almost Hermitian Spectrum | abstract | |
| E. Shargorodsky | On the level sets of the resolvent norm of a linear operator | abstract | presentation |
| J. Sjostrand | Spectral asymptotics for non-selfadjoint differential operators | abstract | presentation |
| L. Vega | On the evolution of vortex filaments with corners | abstract | |
| M. Zworski | Decay of correlations in classical and quantum dynamics | abstract | presentation |
| J. Behrndt | Spectral theory of Sturm-Liouville operators with indefinite weights | abstract | |
| V. Bruneau | Magnetic resonances and meromorphic families of non-self-adjoint operators | abstract | |
| C. Camara | A Riemann-Hilbert approach to Toeplitz operators and the corona theorem | abstract | |
| M. Chugunova | Stability of regularized shock solutions in coating flows | abstract | |
| P. Djakov | 1D Dirac operators with trigonometric polynomial potentials | abstract | |
| F. Genoud | The spectrum of second order multi-point problems | abstract | presentation |
| R. Henry | The complex cubic oscillator: spectral instability and real spectrum | abstract | |
| F. Herau | tba | abstract | |
| I. Karambal | Perturbation determinant and the Evans function | abstract | presentation |
| M. Kolb | Differential operators with exotic boundary conditions arising in probability theory | abstract | |
| D. Krejcirik | The cloaking effect in metamaterials: beyond ellipticity | abstract | |
| S. Malham | Computing spectral determinants for multi-dimensional non-selfadjoint operators | abstract | |
| F. Nier | Alternative proofs of maximal and non maximal subelliptic estimates for geometric Kramers-Fokker-Planck equations | abstract | |
| Ch. Tretter | Two open problems from linear stability analysis in hydrodynamics | abstract | presentation |
| J. Viola | The rate of exponential resolvent growth for quadratic operators | abstract | presentation |
| M. Vogel | Eigenvalue statistics for a model non-self-adjoint semiclassical differential operator with a small random perturbation | abstract | presentation |
| X.-P. Wang | Real resonances of Schroedinger operators with complex-valued potentials | abstract | presentation |
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In addition to these scheduled contributions, all participants are encouraged to report on supplementary recently encountered open problems. |
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