HYBRID CONFERENCE

Mathematical Aspects of Physics with Non-Self-Adjoint Operators: 10 years After
​Les aspects mathématiques de la physique avec les opérateurs non-auto-adjoints: 10 ans après 

1 – 5 February, 2021

Scientific Committee
Comité scientifique

​Anne-Sophie Bonnet-Ben Dhia (ENSTA ParisTech)
Eva Gallardo Gutiérrez (Complutense University of Madrid)
Fritz Gesztesy (Baylor University, Waco)
Luis Vega (BCAM & University of the Basque Country)

Organizing Committee
Comité d’organisation

Lyonell Boulton (Heriot-Watt University)
David Krejcirik (Czech Technical University in Prague)
Petr Siegl (Queen’s University Belfast)

Contact the organizers: nsa (at) fjfi.cvut.cz

Description
Significant developments in the spectral analysis of non-self-adjoint operators since the turn of the millennium include the explicit construction of well-localised almost-eigenvectors, the systematisation of the notion of pseudospectra and the rigorous setting of unbounded solvers for evolution problems. At the same time, a deep understanding of complicated physical phenomena such as cloaking in metamaterials, turbulence and explosive behaviour, has been achieved by means of close examination of the underlying non-self-adjoint operators. These developments involve combining techniques from diverse disciplines and in recent years groups who had been working on similar problems from different perspectives, often using different terminology, have been unaware of each other.
 
The series of MAPwNSA meetings held in Europe (ESF Exploratory Workshop, Prague 2010; ICMS Workshop, Edinburgh 2013; CIRM Conference, Marseille 2017) and North America (AIM Workshop, San Jose 2015) aimed at bridging the existing gap between the mathematical analysis and mathematical physics communities, by featuring non-self-adjoint spectral analysis as unifying subject. This CIRM conference will celebrate the 10 years jubilee of the series.

Parmi les développements significatifs de la théorie spectrale des opérateurs non-auto-adjoints après le tournant du millénaire, on peut citer la construction explicite de quasi vecteurs propres très bien localisés, la systématisation de la notion de pseudo spectre et la formulation rigoureuse des solutions non bornées des problèmes d’évolution. En même temps, la compréhension de phénomènes physiques compliqués, comme l’invisibilité dans les métamat́ériaux ou les phénomènes de turbulence et d’explosion, a progressé  grâce à l’étude approfondie d’operateurs non-auto-adjoints. Ces études combinent des techniques issues de disciplines diverses et, dans les années passées, les groupes qui travaillaient sur des problèmes similaires avec des points de vue différents, souvent en utilisant des terminologies différentes, n’étaient pas au courant des travaux les uns avec des autres.
 
La série de conférences MAPwNSA qui se sont déroulées en Europe (ESF Exploratory Workshop, Prague 2010; ICMS Workshop, Edimbourg 2013; CIRM Conférence, Marseille 2017) et en Amérique du Nord (AIM Workshop, San Jose 2015) visait à réduire l’écart existant entre les communautés de l’analyse mathématique et de la physique mathématique, en utilisant la théorie spectrale comme unificateur. La conférence CIRM proposée marquera l’anniversaire des 10 ans de la série.

Invited Speaker

Charles Batty (University of Oxford)   Rates of decay of energy via operator semigroups and tauberian theorems
Guy Bouchitté (Université de Toulon)  A repulsive multi-marginal transport model in quantum chemistry
Nicolas Burq (Université Paris-Sud Orsay)   Observability for Schrödinger Grushin operators
Tanya Christiansen (University of Missouri Columbia)   Asymptotic location of resonances for Schrödinger operators on infinite cylinders
Sonia Fliss (ENSTA ParisTech)   Scattering problem in general waveguides
Filippo Gazzola (Politecnico di Milano)   Long-time Dynamics of An Extensible Hinged-Free Plate
Denis Grebenkov (Ecole Polytechnique)   The Bloch-Torrey operator: eigenmodes localization, branching spectrum, asymptotic analysis, and applications
Mariana Haragus (Université de Franche-Comté)   Linear stability of spectrally stable Lugiato-Lefever periodic waves
Amru Hussein (TU Kaiserslautern)   Non-self-adjoint graphs: spectra, similarity, semigroups
Alain Joye (Université Grenoble Alpes)   Nonlinear Quantum Adiabatic Approximation
Ari Laptev (Imperial College London)   Symmetry Results in Two-Dimensional Inequalities for Aharonov-Bohm Magnetic Fields
Beatrice Pelloni (Heriot-Watt University)   The quantization of solution of linear evolution PDEs
Ross Pinsky (Technion-Israel Institute of Technology)   Markov Search Problems for a Stationary Target
Nicolas Raymond (Université d’Angers)   On the Dirac bag model in strong magnetic fields

Contributed talks:
Yaniv Almog (Karmiel)   On the stability of laminar flows between plates
Jess Banks (California-Berkeley)  Gaussian Regularization of the Pseudospectrum and Davies’ Conjecture
Sabine Bögli (Durham)   Essential numerical ranges for linear operator pencils
Jean-Bernard Bru (Bilbao)   Lieb-Robinson Bounds for Multi-Commutators
Biagio Cassano (Bari)   Location of eigenvalues of non-self-adjoint discrete Dirac operators
Cristian Cazacu (Bucharest)   Weighted Hardy-Rellich type inequalities
Lucrezia Cossetti (Karlsruhe)   Absence of eigenvalues of Schrödinger, Dirac and Pauli Hamiltonians via the method of multipliers
Catherine Drysdale (Paris)   Complications regarding Amplitude Equations for Non-self-adjoint Operators
Irfan Glogić (Vienna)  Spectral properties of the wave operator in self-similar coordinates
Luka Grubišić (Zagreb)   Contour integration methods fro sectorial operators
Uwe Günther (Dresden)   Asymptotic spectral scaling graphs for IR-truncated PTsymmetric model Hamil- tonians with V = −(ix)2n+1 potentials and beyond
Kirankumar Hiremath (Jodhpur)   Non-self-adjoint eigenvalue problem of optical bent waveguides
Marjeta Kramar Fijavž (Ljubljana)   Linear Hyperbolic Systems on Networks
Sergiusz Kużel (Kraków)   Lax-Phillips Scattering Method in Studies of Non-self-adjoint Schrödinger Operators
Robin Lang (Stuttgart)   On the eigenvalues of the Robin Laplacian with a complex parameter
​Vladimir Lotoreichik (Řež)   Optimization of lowest Robin eigenvalues on 2-manifolds and unbounded cones
Đức Thọ Nguyễn (Prague)   Pseudomode for non-self-adjoint Dirac operators
Juan Manuel Pérez-Pardo (Madrid)   Quantum controllability of infinite dimensional quantum systems based on Quantum Graphs
Yehuda Pinchover (Haifa)   How large can Hardy-weight be ?
Frank Rösler (Cardiff)   On The Solvability Complexity Index for Unbounded Selfadjoint Operators and Schrödinger Operators
Iveta Semorádová (Prague & Belfast)  Spectral approximation of Schrödinger operators with complex potentials: diverging eigenvalues
František Štampach (Prague)   On Lieb-Thirring inequlities for non-self-adjoint Jacobi matrices
Alexei Stepanenko (Cardiff)  Bounds for Schrödinger operators on the half-line perturbed by dissipative barriers
Sergey Tumanov (Moscow)   Completeness theorem for the system of eigenfunctions of the complex Schrödinger operator LC= -D2/DX2 + CX2/3
Matěj Tušek (Prague)   Spectral analysis of the multi-dimensional diffusion operator with random jumps from the boundary
Idan Versano (Haifa)   On families of optimal Hardy-weights for linear second order elliptic operators
Jani Virtanen (Reading)   Entanglement entropy in quantum spin chain models
Martin Vogel (Strasbourg)   Almost sure Weyl asymptotics for nonselfadjoint Toeplitz operators
Valentin Zagrebnov (Marseille)  Trotter product formula for non-self-adjoint Gibbs semigroups
SPONSORS

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International Association of Mathematical Physics

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COST Action CA18232.