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CONFERENCE

Mathematical Aspects of Physics with Non-Self-Adjoint Operators
June 5 – 9, 2017

This conference is intended as a follow-up of other highly successful events held in Europe (ESF Exploratory Workshop, Prague 2010; ICMS Workshop, Edinburgh 2013; AIM Workshop, San Jose 2015).
While the above workshops were deliberately smaller, and less formal meetings focused on open problems in the field, this event at CIRM will be a full-scale conference to which previous activities naturally result.
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The main goal is to facilitate interdisciplinary collaborations across the mathematical analysis and mathematical physics community, with a central role being played by the theory of non-self-adjoint operators. The meeting will address 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. An emphasis will be put on non-self-adjoint operators related to problems in superconductivity, graphene, repeated interaction quantum systems, hydrodynamics, quantum mechanics with non-Hermitian operators, optics and metamaterials. Experts in operator theory, microlocal analysis, and mathematical physics will be brought together to address challenging open problems involving the rigorous mathematical framework of the physical theories.

1.1 References
• ESF Exploratory Workshop, 2010, Prague, Czech Republic:
http://www.ujf.cas.cz/ESFxNSA/
• ICMS Workshop, 2013, Edinburgh, UK:
http://www.ujf.cas.cz/MAPwNSA/
• AIM Workshop, 2015, San Jose, CA, USA:
http://aimath.org/workshops/upcoming/nonselfadjoint/
Scientific  Committee

Guy Bouchitté (Université du Sud-Toulon-Var)
Fritz Gesztesy (Baylor University, Waco)
Alain Joye (Université Grenoble Alpes)
Luis Vega (Basque Center for Applied Mathematics & University of the Basque Country, Bilbao)

Organizing Committee

David Krejcirik (Nuclear Physics Institute ASCR)
Petr Siegl (University of Bern)
Speakers

  • Sabine Bögli (LMU München)    Schrödinger Operator with Non-Zero Accumulation Points of Complex Eigenvalues   (pdf)
  • ​Anne Sophie Bonnet-BenDhia (CNRS-ENSTA ParisTech)   A new complex spectrum associated to invisibility in waveguides   (pdf)
  • Lyonell Boulton (Heriot-Watt University)   A singular family of J-selfadjoint Schrödinger operators   (pdf)
  • Malcolm Brown (Cardiff University)    Inverse problems for boundary triples with applications   (pdf)
  • Cristina Câmara (Universidade de Lisboa)   Truncated Toeplitz operators   (pdf)
  • Gabriel Cardoso (Instituto Superior Técnico, Lisboa)    A Riemann-Hilbert approach to black hole solutions   (pdf)
  • Jean-Claude Cuenin (LMU München)    Lieb-Thirring type bounds for Dirac and fractional Schrödinger operators with complex potentials   (pdf)
  • ​Nils Dencker (University of Lund)   The Solvability of Differential Equations   (pdf)
  • Tom ter Elst (University of Auckland)   One-dimensional degenerate elliptic operators on Lp-spaces with complex coefficients   (pdf)
  • Christian Engström (Umeå University)    Non-selfadjoint operator functions and applications to plasmonics   (pdf)
  • Luca Fanelli (Università di Roma, Sapienza)   Multipliers methods for Spectral Theory   (pdf)
  • Eduard Feireisl (Institute of Mathematics AS CR)   Acoustic waves in the incompressible limits of viscous fluids   (pdf)
  • Didier Felbacq (Université de Montpellier)   Photonic band control in a quantum metamaterial   (pdf)
  • Francesco Ferrulli (Imperial College)   Complex Complexiton solution for the KdV equation   (pdf)   (video 1)   (video 2)
  • Eva A. Gallardo Gutiérrez (Universidad Complutense Madrid & ICMAT)   The Invariant Subspace Problem: a concrete Operator Theory Approach   (pdf)
  • ​Ilya Goldsheid (Queen Mary, University of London)   Real and complex eigenvalues in the non-self-adjoint Anderson–HatanoNelson model
  • Marcel Hansmann (TU Chemnitz)    On the distribution of eigenvalues of compactly perturbed operators   (pdf)
  • Bernard Helffer (Université Paris-Sud)   On a Schrödinger operator with a purely imaginary potential in the semiclassical limit   (pdf)
  • Orif Ibrogimov (University College London) Essential spectrum of mixed-order systems of differential operators   (pdf)
  • Patrick Joly (INRIA-ENSTA ParisTech)   On the stability of linearized Euler’s equations in compressible flows   (pdf)
  • Martin Kolb (University of Paderborn)   Spectral properties of certain non-selfadjoint operators with non-local boundary condition   (pdf)
  • Vadim Kostrykin (Johannes Gutenberg-Universität Mainz)  On the invertibility of block matrix operators   (pdf)
  • Stanislas Kupin (Université de Bordeaux)   Recent advances on the study of discrete spectra of non-selfadjoint operators   (pdf)
  • Florian Leben (TU Ilmenau)    Limit-point / Limit-circle classification of second-order differential operators and PT-QM   (pdf)
  • Jiří Lipovský (University of Hradec Kralove)   Eigenvalue asymptotics for the damped wave equation on metric graphs   (pdf)
  • Vladimir Lotoreichik (Czech Academy of Sciences)   Spectral enclosures for non-self-adjoint waveguides with Robin boundary conditions   (pdf)
  • Haruya Mizutani (Osaka University)    Eigenvalue bounds for non-self-adjoint Schrödinger operators with the inverse square potential   (pdf)
  • Ali Mostafazadeh (Koç University)    Dynamical theory of scattering, invisible configurations of the ζe2iax potential & common zeros of Bessel functions   (pdf)
  • Ivica Nakić (University of Zagreb)  & Krešimir Veselić (Fernuniversität in Hagen)    Perturbation of eigenvalues of the Klein Gordon operators   (pdf)
  • Yehuda Pinchover (Technion -Israel Institute of Tech., Haifa)   On Green functions of second-order elliptic operators on Riemannian Manifolds:

          the critical case   (pdf)

  • Nicolas Raymond (Université Rennes 1)   Non-accretive Schrödinger operators and exponential decay of their eigenfunctions   (pdf)
  • Frank Rösler (University of Freiburg)    A Bound on the Pseudospectrum of the Harmonic Oscillator with Imaginary Potential  (pdf)
  • Alexander Sakhnovich (University of Vienna)   Weyl functions and Darboux transformations for non-self-adjoint systems   (pdf)
  • Stephan Schmitz (University of Missouri)    Block-Diagonalization of unbounded operator matrices   (pdf)
  • Zdeněk Strakoš (Charles University in Prague)   Krylov subspace methods and non-self-adjoint operators   (pdf)
  • Axel Torshage (Umeå University)   On spectral divisors for a class of non-selfadjoint operator polynomials   (pdf)
  • Christiane Tretter (Universität Bern)   New spectral bounds for systems with strong damping   (pdf)
  • Carsten Trunk (TU Ilmenau)     Spectrum of PT symmetric operators   (pdf)
  • Sergey N. Tumanov (Moscow State University   Exceptional Points and the Real Spectral Locus for Complex Airy Operator   (pdf)   (video)
  • Oktay Veliev (Dogus University)    On the spectral analysis of the Schrödinger operator with a periodic PT-symmetric potential   (pdf)
  • Joe Viola (Université de Nantes)    The Hamilton flow and the Schrödinger evolution  for degree-2  complex-valued Hamiltonians   (pdf)
  • Monika Winklmeier (Universidad de los Andes)    Spectral decomposition of linear operators   (pdf)
  • Ian Wood (University of Kent)    Construction of the selfadjoint dilation of a maximal dissipative operator   (pdf)
  • Christian Wyss (University of Wuppertal)    Dichotomy of Hamiltonian operator matrices from systems theory   (pdf)