Spectral Theory and Differential Equations

International Conference in Ukraine

August 20-24, 2012, Kharkiv, Ukraine



Sunday, August 19
    10:00 - 17:00 Registration at
V.Karazin Kharkiv National University (4 Svobody Square; entrance hall)

Monday, August 20: registration, opening and talks will take place at B.Verkin Institute for Low
                Temperature Physics, 47 LeninAvenue (subway station "23 Augusta")

    09:00 - 11:00 Registration

    11:00 - 11:30 Opening

    11:30 - 12:15
Zakharov V.,  University of Arizona and Lebedev Physical Institute, Moscow,
                "New integrable integro-differential equations (with A.Odesski)"

    12:15 - 13:00 Shkalikov A.A., Moscow State University,
                "Recovering of potentials from finite sets of spectral data"

Lunch Break (nearby eating places can be found here )

    15:00 - 15:45 
Kappeler Th., University of Zurich,
                "On Zakharov-Shabat operators for the focusing NLS and their applications"

    15:45 - 16:30
Grinevich P., Landau Institute for Theoretical Physics, Moscow,
                "Singular real finite-gap potentials and indefinite metrics" (with S.P. Novikov)

                    Coffee Break

     16:45 - 17:30 Pukhnachev V.V., Lavrentyev Institute of Hydrodynamics, Novosibirsk,
                "Boundary value problem for Navier-Stokes equations in domain with
                  multiply connected boundary"
17:30 - 18:15 Eremenko A., Purdue University, USA
                " Spectral loci of some one-dimensional Schrödinger operators with polynomial coefficients"

    19:00 Get-together Party (V.Karazin Kharkiv National University,
4 Svobody Square,
                subway station "Universitet")

Tuesday, August 21 - Friday, August 24: all talks will take place at
V.Karazin Kharkiv National University (4 Svobody Square)

Plenary Talks

Tuesday, August 21

    09:30 - 10:15 
Alber H.-D., Darmstadt University,
            "Basing the plasticity equations on dislocation dynamics - a mathematical theory"    

    10:15 - 11:00
Zhikov V., Vladimir State Pedagogical University,
            "Homogenization of a Navier-Stokes type system for electrorheological fluid"

                Coffee Break

    11:15 - 12:00 Teschl G., University of Vienna,
            "Weyl-Titchmarsh-Kodaira theory for Schrödinger operators with strongly singular potentials"

    12:00 - 12:45 Kondratiev Yu., Bielefeld University
Nonlocal evolution equations from Markov dynamics in continuum"

    12:45 - 13:30
Dobrokhotov S., Institute for Problems in Mechanics, Moscow,
            "Pseudo-differential operators in adiabatic approximation and applications"

    18:30:  V.Zakharov: Poetry Soirée (conference hall of the University Library, 4 Svobody Square)   (вечер поэзии В.Е. Захарова, конференц-зал библиотеки ХНУ)

Wednesday, August 22

09:30 - 10:15  Weder R, Universidad Nacional Autonoma de Mexico,
            "Topological effects in quantum mechanics and high-velocity estimates"
    10:15 - 11:00
Kuksin S., Ecole Polythechnique, France,
            "Integrability of KdV and properties of solutions for perturbed equations"

                Coffee Break

    11:15 - 12:00 Matveev V., University of Bourgogne,
            "Multiple rogue waves and extreme rogue waves solutions in integrable systems:
            from NLS to KP-I equation

    12:00 - 12:45 Pelinovsky D., McMaster University,
            "Nonlinear Dirac equations and asymptotic stability of solitary waves in one dimension"

    12:45 - 13:30
Berlyand L., Pennsylvania State University,
            "Correctors in homogenization theory: from periodic to arbitrarily rough coefficients
            with non-separated scales and high contrast

   19:00:  Conference dinner (V.Karazin Kharkiv National University)

Thursday, August 23

09:30 - 10:15  Aptekarev A., Keldysh Institute for Applied Mathematics, Moscow,
            "Spectral problems for difference operator of high order and multiple orthogonal polynomials ensembles"

    10:15 - 11:00
Shcherbina M., Verkin Institute for Low Temperature Physics, Kharkiv,
            " Beta-matrix models: expansions and universality"

                Coffee Break

    11:15 - 12:00 Tkachenko V.A., Ben Gurion University,
            "Spectral theory of one-dimensional Hill operators with complex potential"

    12:00 - 12:45 Pavlov B., S.-Petersburg University,
            "Fitted  zero-range solvable models as a tool  of analytic  perturbation procedure:
            from nano-electronics  to  seismology"

    12:45 - 13:30
Yampolsky M., University of Toronto,
            "The fixed point of parabolic renormalization"

Friday, August 24

09:30 - 10:15  Novokshenov V., Institute of Mathematics, Ufa,
            "Padé approximations of the Painlevé transcendents"

    10:15 - 11:00
Boutet de Monvel A., University Paris-7,

                Coffee Break

    11:15 - 12:00 Its A., Indiana University - Purdue University Indianapolis,
            "Asymptotic analysis of Toeplitz determinants. The Riemann-Hilbert approach"

    12:00 - 12:45 Chueshov I.D. Kharkiv National University,
            "Quasi-stable dissipative systems and nonlinear PDEs"

    12:45 - 13:30
Sodin M., Tel Aviv University,
            "Several results in harmonic and complex analysis which Vladimir Aleksandrovich might like"

Tuesday, August 21 - Friday, August 24:

    15:00 - 19:00 Session Talks