Mathematical Aspects of the Physics with Non-Self-Adjoint Operators

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Mathematical Aspects of the Physics with Non-Self-Adjoint Operators

 11 - 15 Mar 2013

ICMS, 15 South College Street Edinburgh

Scientific Organisers:

  • Lyonell Boulton, Heriot-Watt University
  • David Krejcirik, Nuclear Physics Institute ASCR
  • Petr Siegl, University of Bern

About:

This workshop was a follow-up to the ESF-funded Exploratory Workshop held in Prague 2010. The main objective was to facilitate interdisciplinary collaborations across the mathematical physics community and the mathematical analysis community. This workshop addressed modern techniques for the mathematically rigourous justifcation of non-self-adjoint phenomena encountered in the newly developing fields of: PT-symmetric quantum mechanics, metamaterials, superconductivity, porous media and hydrodynamics.

Speakers:

  • Boris Mityagin, Ohio State University - Geometric and Analytic Criteria for Convergence of Eigenfunction Decompositions of Hill and 1D Dirac Operators

  • Xue-Ping Wang, Universite de Nantes - Real Resonances of Schrödinger Operators with Complex-Valued Potentials

  • Michael Demuth, TU Clausthal - On Eigenvalues of Non-Self Adjoint Operators: A Comparison of Two Approaches

  • David Krejcirik, Nuclear Pysics Institute ASCR

  • Marina Chugunova, Claremont Graduate University - Stability of Regularised Shock Solutions in Coating Flows

  • Martin Kolb, University of Reading - Differential Operators with Exotic Boundary Conditions Arising in Probability Theory

  • Issa Karambal, Heriot-Watt University - Perturbation Determinant and the Evans Function

  • W Desmond Evans, University of Cardiff - Bounded Operators in Banach Spaces and Nonlinear Eigenvalue Problems

  • Jussi Behrndt, Technische Universität Graz - Spectral Theory of Sturm-Liouville Operators with Indefinite Weights

  • Francois Genoud, Heriot-Watt University - The Spectrum of Second Order Multi-Point Problems and Associated Bifurcation Theory

  • Plamen Djakov, Sabanci Universitym - 1D Dirac Operators with Trigonometric Polynomial Potentials

  • Sergey Naboko, St Petersburg State University - Operators with Almost Hermitian Spectrum

  • Francis Nier, Universite Rennes I - Alternative Proofs of Maximal and Non Maximal Subelliptic Estimates for Geometric Kramers-Fokker-Planck Equations

  • Cristina Camara, IST/Technical University of Lisbon - A Riemann-Hilbert Approach to Toeplitz Operators and the Corona Theorem

  • Frederic Herau, Universite de Nantes - About Boundary Problems in Kinetic Equations

  • Michael Levitin, University of Reading - Eigenvalues of the Operator Pencil for a Graphene Waveguide

  • Eugene Shargorodsky, King's College London - On the Level Sets of the Resolvent Norm of a Linear Operator

  • Heinz Langer, Vienna University of Technology - Continuation of Hermitian functions and Inverse Spectral Problems

  • Guy Bouchitte, Universite de Toulon - Multi-Scale Approach and Resonances in Metamaterial

  • Johannes Kjöstrand, Université de Bourgogne - Spectral Asymptotics for Differential Operators

  • Joseph Viola, Universite de Nantes - The Rate of Exponential Resolvent Growth for Quadratic Operators

  • Maciej Zworski, University of California - Decay of Correlations in Classical and Quantum Dynamics

  • Luis Vega, Euskal Herriko Unibertsitatea - On the Evolution of Vortex Filaments with Corners