A trilateral German-Russian-Ukrainian summer school

Spectral Theory, Differential Equations and Probability

Johannes Gutenberg Universität Mainz, September 4th - 15th 2016

Organisers: Vadim Kostrykin (Mainz), Leonid Pastur (Kharkiv), Tatiana Suslina (St. Petersburg)

Supported by VolkswagenStiftung-Logo       and UniMainz-Logo


Conference Secretary: Ulrike Jacobi




Preliminary Programme of the Summer School as of 24th August. The letters T and L denote the format of the presentation: T stands for a regular talk of duration 35-40 min, nL for a lecture course of total duration n × 45 min.


Monday, 5th September

Time Speaker Format Title
09:30-10:00 Registration
10:00-10:30 Opening
10:30-11:15 Peter Müller 2L Anderson orthogonality    
11:15-12:00 Peter Müller 2L Anderson orthogonality
12:00-13:30 Lunch
13:30-14:15 Leonid Pastur 4L Analogs of the Szegő Theorem for ergodic operators
14:15-15:00 Leonid Pastur 4L Analogs of the Szegő Theorem for ergodic operators
15:00-15:30 Coffee Break
15:30-16:15 Christoph Uebersohn T On the difference of spectral projections
16:15-17:00 Christoph Schumacher T The Anderson model on the Bethe lattice: Lifshitz tails
17:00-17:45 Matthias Täufer T Wegner estimate for Landau Hamiltonians with random breather potential                         


Tuesday, 6th September

Time Speaker Format Title
09:30-10:15 Leonid Pastur 4L Analogs of the Szegő Theorem for ergodic operators
10:15-11:00 Leonid Pastur 4L Analogs of the Szegő Theorem for ergodic operators
11:00-11:30 Coffee Break
11:30-12:15 Wolfgang Spitzer 2L Area law for the entanglement entropy of the free Fermi gas at nonzero temperature
12:15-13:00 Wolfgang Spitzer 2L Area law for the entanglement entropy of the free Fermi gas at nonzero temperature         
13:00-14:30 Lunch
14:30-15:15 Andrii Khrabustovskyi 2L Spectral problems for elliptic operators in strongly perforated domains
15:15-16:00 Andrii Khrabustovskyi 2L Spectral problems for elliptic operators in strongly perforated domains
16:00-16:30 Coffee Break
16:30-17:15 Olena Sivak T Asymptotic approximations for solutions to elliptic boundary value problems
in perforated domains
17:15-18:00 Ekaterina Shchetka T Complex WKB method for difference equations in unbounded domains


Wednesday, 7th September

Time Speaker Format Title
09:30-10:15 Tatiana Suslina 3L Periodic differential operators: Threshold properties and homogenization
10:15-11:00 Tatiana Suslina 3L Periodic differential operators: Threshold properties and homogenization
11:00-11:30 Coffee Break
11:30-12:15 Tatiana Suslina 3L Periodic differential operators: Threshold properties and homogenization
12:15-13:00 Nikita Senik T On homogenization for periodic elliptic operators on an infinite cylinder
13:00-14:30 Lunch
14:30-15:15 Mark Dorodnyi T Homogenization of hyperbolic-type equations
15:15-16:00 Yulia Meshkova T Homogenization of elliptic and parabolic Dirichlet problems in a bounded domain                     
16:00-16:30 Coffee Break
16:30-17:15 Mariya Shcherbina 4L Classical models of random matrix theory
17:15-18:00 Mariya Shcherbina 4L Classical models of random matrix theory


Thursday, 8th September

Time Speaker Format Title
09:30-10:15 Mariya Shcherbina 4L Classical models of random matrix theory
10:15-11:00 Mariya Shcherbina 4L Classical models of random matrix theory
11:00-11:30 Coffee Break
11:30-12:15 Nataliia Smorodina 2L Limit theorems for sums of independent random variables and Feynman integral
12:15-13:00 Nataliia Smorodina 2L Limit theorems for sums of independent random variables and Feynman integral
13:00-14:30 Lunch
14:30-15:15 Melchior Wirth T Does diffusion determine the geometry?
15:15-16:00 Ievgenii Afanasiev T On the second mixed moment of characteristic polynomials
16:00-16:30 Coffee Break
16:30-17:15 Mariia Platonova T Symmetric α-stable distributions for noninteger α>2 and associated stochastic processes       
17:15-18:00 Andrii Khrabustovskyi T Spectral properties of domains with "room-and-passage" boundary


Friday, 9th September

Time Speaker Format Title
09:30-10:15 Larissa Fardigola 3L Transformation operators in control problems
10:15-11:00 Larissa Fardigola 3L Transformation operators in control problems
11:00-11:30 Coffee Break
11:30-12:15 Larissa Fardigola 3L Transformation operators in control problems
12:15-13:00 Albrecht Seelmann T On the subspace perturbation problem
13:00-14:30 Lunch
14:30-15:15 Nikolai Filonov 3L Spectral theory of the Maxwell operator
15:15-16:00 Nikolai Filonov 3L Spectral theory of the Maxwell operator
16:00-16:30 Coffee Break
16:30-17:15 Nikolai Filonov 3L Spectral theory of the Maxwell operator
17:15-18:00 Aleksandr Poretskii T The Maxwell system in waveguides with non-homogeneous filling                                                     


Saturday, 10th September: Excursion to Bacharach



Sunday, 11th September: free



Monday, 12th September

Time Speaker Format Title
09:30-10:15 Denis Borisov 2L Boundary homogenization: Norm resolvent convergence and asymptotics
10:15-11:00 Denis Borisov 2L Boundary homogenization: Norm resolvent convergence and asymptotics
11:00-11:30 Coffee Break
11:30-12:15 Daria Tieplova T Distribution of eigenvalues of sample covariance matrices with tensor product samples
12:15-13:00 Ivan Gurianov T Asymptocics of resonant tunneling in quantum waveguides with two resonators
13:00-14:30 Lunch
14:30-15:15 Alexander Fedotov 4L Monodromization method in the theory of the quasi-periodic equations
15:15-16:00 Alexander Fedotov 4L Monodromization method in the theory of the quasi-periodic equations
16:00-16:30 Coffee Break
16:30-17:15 Andrei Badanin T Inverse problems and sharp eigenvalue asymptotics for Euler-Bernoulli operators                     
17:15-18:00 Amru Hussein T Non-self-adjoint graphs


Tuesday, 13th September

Time Speaker Format Title
09:30-10:15 Ivan Veselić 2L Uncertainty relations and applications to the Schrödinger
and heat conduction equations
10:15-11:00 Ivan Veselić 2L Uncertainty relations and applications to the Schrödinger
and heat conduction equations
11:00-11:30 Coffee Break
11:30-12:15 Martin Tautenhahn T Quantitative unique continuation principles and application to control theory
for the heat equation
12:15-13:00 Michaela Egidi T Logvinenko-Sereda Theorem for periodic functions
13:00-14:30 Lunch
14:30-15:15 Alexander Fedotov 4L Monodromization method in the theory of the quasi-periodic equations
15:15-16:00 Alexander Fedotov 4L Monodromization method in the theory of the quasi-periodic equations
16:00-16:30 Coffee Break
16:30-17:15 Vitalii Marchenko T Infinitesimality of operators with non-basis family of eigenvectors
17:15-18:00 Vladimir Slouhsch T Asymptotics of discrete spectrum of periodic Schrödinger operator perturbed by non-negative
potential and related estimates of singular values for integral operators
19:30 Conference Dinner


Wednesday, 14th September

Time Speaker Format Title
09:30-10:15 Dmitry Shepelsky 3L Boundary-value problems for integrable nonlinear equations
10:15-11:00 Dmitry Shepelsky 3L Boundary-value problems for integrable nonlinear equations
11:00-11:30 Coffee Break
11:30-12:15 Dmitry Shepelsky 3L Boundary-value problems for integrable nonlinear equations
12:15-13:00 Kyrylo Andreiev T Regularized integrals of motion of the Korteweg-de Vries equation in the class
of non-decreasing functions
13:00-14:30 Lunch
14:30-15:15 Iryna Egorova 2L Long time asymptotics for the KdV and Toda equations with steplike initial data
15:15-16:00 Iryna Egorova 2L Long time asymptotics for the KdV and Toda equations with steplike initial data
16:00-16:30 Coffee Break
16:30-17:15 Mariia Filipkovska T Global solvability and Lagrange stability of semilinear differential-algebraic equations    a;          
and applications to nonlinear radio engineering
17:15-18:00 Kateryna Stiepanova T Extinction of solutions for quasi-linear parabolic equations
18:00-18:30 Closing

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