WORKSHOP

Special Functions and Semi-Classical Approximation
Fonctions spéciales et approximation semi-classique

4 – 6 February 2020

Scientific Committee
Comité scientifique

Serguei Kuksin (Université Paris 6)
Vladimir Nazaikinskii (IPMech, Moscou)
​Andrei Shafarevich (IPMech, Moscou)

Organizing Committee
Comité d’organisation

Walter Aschbacher (Université de Toulon & CPT Marseille)
Serguei Dobrokhotov (IPMech, Moscou)

Michel Rouleux (Université de Toulon & CPT Marseille)
Anna Tsvetkova (IPMech, Moscou)

Description
The program is primarily devoted to problems in Fluid Mechanics, Quantum Mechanics and Condensed Matter Physics, from the point of view of Semi-classical Approximation and Geometric Asymptotics.
Le programme est principalement consacré aux problèmes de mécanique des fluides, de mécanique quantique et de physique de la matière condensée, sous l’angle de l’approximation semi-classique et de l’asymptotique géométrique.
Speakers

Anna Allilueva (Ipmech Moscow)   Conic Lagrangian manifolds and localized solutions for linearized equations of relativistic gas dynamics
Anatoly Anikin,(Ipmech Moscow)  Expansions into series of Schrödinger operator eigenfunctions and semiclassical adiabatic theorem
Ilya Bogaevskii (Ipmech Moscow)  Graphene in electromagnetic field: singular phases of semi-classical approximations
Philippe Briet (Université de Toulon)   Resonances and metastable states in the semiclassical limit
Lucrezia Cossetti (Karlsruhe Institute of Technology)   The method of multipliers in spectral theory
Serguei Dobrokhotov (Ipmech Moscow)
Aleksei Kiselev (Steklov Mathematical Institute, St Peter)   Simple localized waves
Alexander Klyovin (Ipmech Moscow)  Asymptotic “bouncing ball” type eigenfunctions of the two-dimensional Schrödinger operator with symmetric potential
David Krejcirik (Czech Technical University in Prague)  Pseudomodes for Schrödinger operators with complex potentials
Loïc Le Treust (Aix-Marseille Université)
Vladimir Nazaikinskii (Ipmech Moscow)   Canonical operator on Lagrangian intersections and efficient formulas for semiclassical asymptotics in problems with localized right-hand sides
Thomas Ourmières-Bonafos (Aix-Marseille Université)  A new variational characterization for Dirac eigenvalues in bounded domains. Application to a Szeg\ »o-Weinberger inequality
Michel Rouleux (Cpt Marseille & Université de Toulon)   Semi-classical Green functions and Lagrangian intersection; applications to the propagation of Bessel beams in non-homogeneous media
Sergey Sergeev (Ipmech Moscow)   Maslov’s canonical operator for the problem of the linear waves propagation on the 2D-lattice
Andrei Shafarevich (Ipmech Moscow)   Semi-classical spectrum of the Laplace operator on a surface with a conic point
Johannes Sjöstrand (Université de Bourgogne)   Resonances over a potential well in an island
Anton Tolchennikov (Ipmech Moscow)   Solution of the Two-Dimensional Dirac Equation with a Linear Potential and a Localized Initial Condition
Anna Tsvetkova (Ipmech Moscow)   Uniform asymptotics of Hermite polynomials in the form of an Airy function
Evgeny Vybornyi (Hse Moscow)   Algebraic averaging and semiclassical asymptotic for Schrödinger equation with frequency resonance
Lorenzo Zanelli (University of Padova)   ​Isospectrality and symplectic homogenization for periodic Schrödinger operators

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