Events

The planned 3 thematic workshops and the 2 summer schools

2023 - Tashkent, Uzbekistan

International Summer School and Conference on Mathematics for the Micro/Nano-World: From soliton dynamics, nonlinear optics to quantum science and technology

September 11-16, 2023 (Summer School)
September 18-22, 2023 (Conference)

September 11

Arrival of participants.
Welcome reception (at 18:30) and dinner.

Day 1, September 12

08:30-09:50	Registration
09:50-10:00	Opening

Morning Session
Chair: Carsten Trunk

10:00-11:00	Pavel Exner. Guided quantum dynamics
11:00-11:15	Questions and discussions

Coffee Break (11:15-11:45)

11:45-12:45	Pavel Exner. Guided quantum dynamics
12:45-13:00	Questions and discussions

Lunch break (13:00-15:00)

Afternoon Session
Chair: Pavel Exner

15:00-16:00	Olaf Post. Analysis on graph-like spaces
16:00-16:15	Questions and discussions

Coffee Break (16:15-16:45)

16:45-17:45	Olaf Post. Analysis on graph-like spaces
17:45-18:00	Questions and discussions

Dinner (19:00-21:00)

Day 2, September 13

Morning Session
Chair: Juergen Prestin

10:00-11:00	Pavel Exner. Guided quantum dynamics
11:00-11:15	Questions and discussions

Coffee Break (11:15-11:45)

11:45-12:45	Pavel Exner. Guided quantum dynamics
12:45-13:00	Questions and discussions

Lunch break (13:00-15:00)

Afternoon Session
Chair: Jaroslav Dittrich

15:00-16:00	Olaf Post. Analysis on graph-like spaces
16:00-16:15	Questions and discussions

Coffee Break (16:15-16:45)

16:45-17:45	Olaf Post. Analysis on graph-like spaces
17:45-18:00	Questions and discussions

Dinner (19:00-21:00)

Day 3, September 14

Morning Session
Chair: Riccardo Adami

10:00-11:00	Pavel Exner. Guided quantum dynamics
11:00-11:15	Questions and discussions

Coffee Break (11:15-11:45)

11:45-12:45	Olaf Post. Analysis on graph-like spaces
12:45-13:00	Questions and discussions

Lunch break (13:00-15:00)

Afternoon Session
Chair: Olaf Post

15:00-16:00	Riccardo Adami. Nonlinear Schroedinger Equation on exotic domains
16:00-16:15	Questions and discussions

Coffee Break (16:15-16:45)

16:45-17:45	Riccardo Adami. Nonlinear Schroedinger Equation on exotic domains
17:45-18:00	Questions and discussions

Conference Dinner (19:00-22:00)

Day 4, September 15

Morning Session
Chair: Henrik Winkler

10:00-11:00	Riccardo Adami. Nonlinear Schroedinger Equation on exotic domains
11:00-11:15	Questions and discussions

Coffee Break (11:15-11:45)

11:45-12:45	Riccardo Adami. Nonlinear Schroedinger Equation on exotic domains
12:45-13:00	Questions and discussions

Lunch break (13:00-15:00)

Afternoon Session
Chair: Davron Matrasulov

15:00-16:00	Riccardo Adami. Nonlinear Schroedinger Equation on exotic domains
16:00-16:15	Questions and discussions

Dinner (19:00-21:00)

Day 5, September 16

Morning Session
Chair: Andreas Roessler

10:30-11:00

Delio Mugnolo. Diffusion problems on metric graphs.

11:00-11:15 Questions and discussions

Coffee Break (11:15-11:45)

11:45-12:45	Delio Mugnolo. Diffusion problems on metric graphs
12:45-13:00	Questions and discussions

Lunch break (13:00-15:00)

Afternoon Session
Chair: Jambul Yusupov

15:00-16:00	Delio Mugnolo. Diffusion problems on metric graphs
16:00-16:15	Questions and discussions

Dinner (19:00-21:00)

September 17

10:00-13:00

Guided excursion in Samarkand

Lunch break (13:00-15:00)

15:00-16:00	Academic free discussions
16:00-16:30	Discussions

Closing School

Day 1, September 18

08:30-09:50	Registration
09:50-10:00	Opening

Morning Session
Chair: Carsten Trunk

10:00-10:40	Pavel Exner. Curvature-induced discrete spectrum in soft quantum waveguides and dot arrays
10:40-11:20	Delio Mugnolo. Spectral and Torsion Geometry of Quantum Graphs

Coffee Break (11:20-11:50)

11:50-12:30	Olaf Post. Norm resolvent convergence of discretisations of the Laplacian on domains
12:30-13:10	Jiri Lipovsky. Magnetic quantum graphs with preferred-orientation coupling

Lunch break (13:10-15:00)

Afternoon Session
Chair: Pavel Exner

15:00-15:40	Carsten Trunk. Spectral optimization for algebraic differential equations with application to chip desi
15:40-16:20	Mitsuru Wilson. Spectral inclusion property for a class of block operator matrices

Coffee Break (16:20-16:50)

16:50-17:30	Henrik Winkler. Jordan-like decompositions of linear relations and DAEs
17:30-18:10	Mersaid Aripov. Role of the critical exponents in the problem nonlinear heat conductivity with variable density and time dependent damping
18:10-18:30	Narkesh Iskakova. On the solvability of the periodic boundary value problem for delay differential equation
18:30-18:50	Zhanibek Tokmurzin. Method of functional parametrization for solving a semi-periodic initial problem for fourth-order partial differential equations

Dinner (19:00-21:00)

Day 2, September 19

Morning Session
Chair: Jurgen Prestin

10:00-10:40	Jambul Yusupov. Transparent boundary conditions for nonlinear evolution equations in low-dimensional domains
10:40-11:20	Zarif Sobirov. Inverse source problems with integral over determination for the subdiffusion equations on metric graphs

Coffee Break (11:20-11:50)

11:50-12:30	Zhazira Kadirbayeva. A computational method for solving problem for impulsive differential equations with loadings
12:30-12:50	Altynshash Bekbauova. Creation of decisions in a broad sense the systems of the equations in private derivatives of the first order with periodic conditions

Lunch break (13:00-15:00)

Afternoon Session
Chair: Jambul Yusupov

15:00-15:40	Roza Uteshova. Singular boundary value problems for ODEs and their approximation
15:40-16:20	Gulmira Vassilina. Construction of the Lagrange equation by a given kinematic form of the Newton equation in the presence of random perturbations

Coffee Break (16:20-16:50)

16:50-17:30	Anar Assanova. Boundary value problems for partial differential equations with impulse discrete memory
17:30-18:10	Mashrab Akramov. Transparent boundary conditions for nonlinear nonocal Schrodinger equation on metric graphs
18:10-18:30	Symbat Kabdrakhova. A modification of the Euler polygonal method for solving semi-periodical boundary value problem for loaded nonlinear hyperbolic equation

Conference Dinner (19:00-22:00)

Day 3, September 20

Morning Session
Chair: Olaf Post

10:00-10:40	Sandugash Mynbayeva. One approach to find an approximate and a numerical solution of a nonlinear boundary value problem
10:40-11:20	Jaroslav Dittrich. Scattering along a curve in a plain

Coffee Break (11:20-11:50)

11:50-12:30	Umida Baltaeva. On the solvability of problems for the loaded integro-differential equation involving a Riemann–Liouville fractional integral operator
12:30-12:50	Milos Tater. In search of a higher Bochner Theorem

Lunch break (13:00-15:00)

Afternoon Session
Chair: Jaroslav Dittrich

15:00-15:40	Davron Matrasulov. Relativistic quasiparticles on metric graphs
15:40-16:20	Gisela Poplau. The Numerical Solution of the 3D-Poisson Equation for Applications in Accelerator Physics

Coffee Break (16:20-16:50)

16:50-17:30	Jurgen Prestin. Shift-invariant spaces of periodic functions
17:30-18:10	Lena Schadow. The Stochastic Wave Equation – Why and How to Model Random Fluctuations
18:10-18:30	David Spitzkopf. Tunneling in soft waveguides: closing a book

Dinner (19:00-21:00)

Day 4, September 21

Morning Session
Chair: Delio Mugnolo

10:00-10:40	Oleksandra Antoniouk. Spectral methods in the theory of p-adic nonlinear nonlocal pseudo-differential equations
10:40-11:20	Elchin I. Jafarov. Slightly modified orthogonality relation for the Jacobi polynomials and exactly solvable model of the completely positive oscillator-shaped quantum well

Coffee Break (11:20-11:50)

11:50-12:30	Saparboy Rakhmanov. Quantum Fermi acceleration under driven time-dependent confinement
12:30-12:50	Lutfiya Rajabova. To the theory of the overdeterminated system of Volterra-type three integral equations with singular boundary lines

Lunch break (13:00-15:00)

Afternoon Session

15:00-15:20	Danylo Yakymenko. The order 3 symmetry in the Weyl-Heisenberg group.
15:20-15:40	Zahriddin Muminov. On the discrete spectrum of the schrodinger operator of the system of three-particles with masses m₁=m₂=∞ and m₃ < ∞ on the three dimensional lattice
15:40-16:00	Kuvonchbek Matchonov. Overcritical spectrum of the one-dimensional Dirac equationin bulk and confined domains
16:00-16:20	Discussions

16:20-16:40 Closing conference

September 22

Departure of participants

Invited Speakers

Mashrab Akramov, National University of Uzbekistan (Uzbekistan)

Nigar Aslanova, Azerbaijan University of Architecture and Construction (Azerbaijan)

Umida Baltayeva, Khorezm Mamun Academy, Uzbekistan Academy of Sciences (Uzbekistan)

Jaroslav Dittrich, Nuclear Physics Institute of the CAS (Czech Republic)

Roland Duduchava, Institute of Mathematics of the University of Georgia & A. Razmadze Mathematical Institute (Georgia)

Pavel Exner, Nuclear Physics Institute of the CAS (Czech Republic)

Valerii Geints, Technische Universität Ilmenau (Germany)

Jan Pekař, Charles University (Czech Republic)

Saparboy Rakhmanov, Chirchik State Pedagogical University (Uzbekistan)

Tulkin Rasulov, Bukhara State University (Uzbekistan)

Valerii Samoilenko, Institute of Mathematics of NAS of Ukraine (Ukraine)

Lena Schadow, Universität zu Lübeck (Germany)

Yevgeniya Semenova, Institute of Mathematics of NAS of Ukraine (Ukraine)

David Spitzkopf, Charles University, Nuclear Physics Institute of the CAS (Czech Republic)

Miloš Tater, Nuclear Physics Institute of the CAS (Czech Republic)

Viktor Tkachenko, Institute of Mathematics of NAS of Ukraine (Ukraine)

Berikbol Torebek, Institute of Mathematics and Mathematical Modeling (Kazakhstan)

Carsten Trunk, Technische Universität Ilmenau (Germany)

Mitsuru Wilson, Technische Universität Ilmenau (Germany)

Henrik Winkler, Technische Universität Ilmenau (Germany)

Jambul Yusupov, Kimyo International University in Tashkent (Uzbekistan)

Contributed Speakers

Symbat Kabdrakhova, Institute of Mathematics and Mathematical Modeling, Al-Farabi Kazakh National University (Kazakhstan)

Minzilya Kosmakova, Karaganda Buketov University (Kazakhstan)

Khikmatjon Matyokubov, Urgench State Pedagogical Institute (Uzbekistan)

Meirambek Mukash, K. Zhubanov Aktobe Regional University (Kazakhstan)

Sandugash Mynbayeva, K. Zhubanov Aktobe Regional University, Institute of Mathematics and Mathematical Modeling (Kazakhstan)

Kulzina Nazarova, Akhmet Yassawi International Kazakh-Turkish University (Kazakhstan)

Murat Ramazanov, Karaganda Buketov University (Kazakhstan)

Karimjon Sabirov, EMU University (Uzbekistan)

Sulton Usanov, Kimyo International University in Tashkent (Uzbekistan)

Roza Uteshova, Institute of Mathematics and Mathematical Modeling (Kazakhstan)

Sailaubay Zhumatov, Institute of Mathematics and Mathematical Modeling (Kazakhstan)

2024 - Almaty

International Summer School and Conference on Evolution Equations, Approximation and Spectral Optimization

September 11-14, 2024 (Summer School)
September 16-18, 2024 (Conference)

2025 - Kyiv, Ukraine

International Workshop within the framework of the HORIZON-2020 project SOMPATY

May 12-16,2025

Institute of Mathematics of the National Academy of Ukraine organises one-week workshop within the framework of the EU Project SOMPATY "Spectral Optimisation: From Mathematics to Physics and Advance Technology" whose aim consists of disseminating the ideas/results between Ukrainian and foreign project teams who suffer a lack of direct `offline' communications due to military aggression of the russian federation, as well as involving new scientific partners/teams. An important goal should be providing an opportunity to young scientists from Ukraine to report their results at a high international level with a forthcoming perspective of establishing collaborative contacts. The Workshop intends to held in a hybrid form with NO registration fee for Ukrainian speakers even though they do not belong to Ukrainian team of SOMPATY. Plenary (invited) speakers would deliver 30-60min lectures but other participants are offered to deliver 15-20 min talks. No special sections are scheduled. All should hear all.

WP 1 Numerical schemes for indefinite SL problems & spectral analysis of signals (Ilmenau, Kyiv and Lübeck with Almaty, Baku)

Task 1.1 Numerical schemes for indefinite Sturm–Liouville and PT-symmetric operators to locate the (non-real) spectrum 

Task 1.2 Spectral optimization of DAEs for the re-design of integrated circuits

WP 2 Linear & nonlinear models of branched structures (Prague and Ilmenau with Almaty, and Tashkent)

Task 2.1 Spectral properties of networks, in both classical and leaky models; analysis and control

 Task 2.2 Beyond self-adjoint dynamics: dissipative and nonlinear networks 

WP 3 Spectral theory of singular perturbations and inverse problems (Kyiv and Prague with Baku, and Tashkent)

Task 3.1 Spectral theory of operators with singular perturbations 

Task 3.2 Optimization of spectral data in inverse problems

WP 4 Approximation theory & theory of function spaces (Lübeck and Kyiv with Almaty, and Baku)

Task 4.1 Optimal bases for spaces on manifolds 

Task 4.2 Approximation and interpolation on manifolds

Names	Affiliation	Time	Title
Pavel Exner	Prag, Tschechien	60	Transport in quantum systems: results and open problems
Volodymyr Mikhailiets & Alexander Murach	Kiew, Ukraine	60 / WP3	Extended Hilbert scale and its applications
Henrik Winkler	Ilmenau, Deutschland	30	Spectral theory of Hamiltonian systems on graphs
Mitsuru Wilson	Ilmenau, Deutschland	60	Spectral Properties of the Indefinite Kirchhoff Laplacian on Quantum Graphs
Andrii Shydlich	Kiew, Ukraine	30 / WP4	Direct and inverse theorems of approximation of functions given on hexagonal domains by the Taylor-Abel-Poisson means
Jürgen Prestin	Lübeck, Deutschland	60	Interpolation for functions of bounded variation
Kateryna Pozharska	Kiew, Ukraine	30 / WP4	One approach for constructing exact Marcinkiewicz–Zygmund inequalities, quadrature rules and tight equal-norm frames
Tahir Gadjiev	Baku, Aserbaidschan	30	Qualitative theory of nonlinear partial differential equations in nonregular domains
Roland Duduchava	Tiflis, Georgien	60	Spectral theory of convolution integro-differential operators on monoids
Valerii Samoilenko & Yuliia Samoilenko	Kiew, Ukraine	30	Asymptotic analysis of vc hydrodynamical type equations with singular perturbation
Iryna Denega & Yaroslav Zabolotnyi	Kiew, Ukraine	30	On products of inner radii of domains relative to fixed points of the complex plane
Iryna Chepurukhina	Kiew, Ukraine	30 / WP4	On interpolation of distribution spaces associated with elliptic operators and their application
Volodymyr Molyboga	Kiew, Ukraine	30 / WP3	Povzner–Wienholtz-type theorems for symmetric Sturm–Liouville operators with singular coefficients
Andrii Khrabustovskyi	Hradec Králové, Tschechien	30	Geometric approximation of Laplacians with non-local interface and boundary conditions
Olena Atlasiuk & Volodymyr Mikhailiets	Ukraine/UK	30	Convergence and approximation of solutions of inhomogeneous boundary-value problems in Sobolev spaces
Roza Uteshova	Almaty, Kasachstan	30 / WP1	Boundary value problems for differential-algebraic equations: solvability via canonical forms
Anatolii Serdiuk & Igor Sokolenko	Kiew, Ukraine	30 / WP4	Asymptotic behavior of best approximations of classes of infinitely differentiable functions defined by the modulus of continuity
Nigar Aslanova	Baku, Aserbaidschan	30	On exit space realizations of the Sturm-Liouville operator equation
Yevgenia Semenova	Kiew, Ukraine	30	Jacobi polynomials in the problems of numerical differentiation and summation
Viktor Tkachenko	Kiew, Ukraine	30	Smooth periodic solutions to non-autonomous quasi-linear hyperbolic equations
Tetiana Osipchuk	Kiew, Ukraine	30	Weakly 1-semiconvex sets in Euclidean spaces
Oleksandra Vinnichenko, Vyacheslav Boyko & Roman Popovich	Kiew, Ukraine	30	Symmetry analysis of Nizhnik models
Oleksandr Burylko	Kiew, Ukraine	30	Reversible saddle-node separatrix-loop bifurcation
Anastasiia Hrabovets & Oleksandr Burylko	Kiew, Ukraine	30	Gradient oscillator model for frustrated spin system
Mariia Stefanchuk	Kiew, Ukraine	30	On the exponential asymptotics of solutions of the nonlinear Beltrami equation at a point of the complex plane
Mashrab Akramov	Taschkent, Usbekistan	30	Spectra of quantum lattices: A quantum graph based model
Saparboy Rakhmonov	Taschkent, Usbekistan	30	Quantum particle under PT-symmetric dynamical confinement: Fermi acceleration and geometric phase
Karrim Sabirrov	Taschkent, Usbekistan	30	Dirac operator on periodic graphs
Jambul Yusupov	Taschkent, Usbekistan	30	Driven transparent quantum graphs
Davron Matrasulov	Taschkent, Usbekistan	30	Dirac particle under the dynamical confinement
Serhii Stasyuk	Kiew, Ukraine	30 / WP4	Sparse trigonometric approximation of periodic functions from Besov and related classes with mixed smoothness
Sandugash Mynbayeva	Almaty, Kasachstan	30	An approximate solution to a linear boundary value problem for an impulsive Fredholm integro-differential equation

Monday, 12 May 2025

Time	Speaker(s)	Title
12:45–13:00	Alexander Timokha	Opening
13:00–13:30	Nigar Aslanova	On exit space realizations of the Sturm-Liouville operator equation
13:30–14:30	Volodymyr Mikhailiets, Alexander Murach	Extended Hilbert scale and its applications
14:30–15:00	Olena Atlasiuk, Volodymyr Mikhailiets	ODE-systems with boundary inhomogeneous conditions containing higher-order derivatives
15:30–16:00	Andrii Khrabustovskyi	Geometric approximation of Laplacians with non-local interface and boundary conditions
16:00–16:30	Volodymyr Molyboga	Povzner-Wienholtz-type theorems for symmetric Sturm-Liouville operators with singular coefficients
16:30–17:00	Iryna Chepurukhina	On interpolation of distribution spaces associated with elliptic operators and their application

Tuesday, 13 May 2025

Time	Speaker(s)	Title
14:00–15:00	Roland Duduchava	Spectral theory of convolution integro-differential operators on monoids
15:00–15:30	Roza Uteshova	Boundary value problems for differential-algebraic equations: solvability via canonical forms
15:30–16:00	Tahir Gadjiev	Qualitative theory of nonlinear partial differential equations in nonregular domains
16:00–16:30	Oleksandra Vinnichenko, Vyacheslav Boyko, Roman Popovych	Symmetry analysis of Nizhnik models
16:30–17:00	Serhii Stasyuk	Sparse trigonometric approximation of periodic functions from Besov and related classes with mixed smoothness

Wednesday, 14 May 2025

Time	Speaker(s)	Title
14:00–14:30	Valerii Samoilenko, Yuliia Samoilenko	Asymptotic analysis of variable-coefficient hydrodynamical type equations with singular perturbation
14:30–15:00	Viktor Tkachenko	Smooth periodic solutions to non-autonomous quasi-linear hyperbolic equations
15:00–15:45	Oleksandr Burylko	Reversible saddle-node separatrix-loop bifurcation
15:45–16:00	Anastasiia Hrabovets, Oleksandr Burylko	Gradient oscillator model for frustrated spin system
16:30–17:00	Mashrab Akramov	Spectra of quantum lattices: A quantum graph based model
17:00–17:30	Saparboy Rakhmonov	Quantum particle under PT-symmetric dynamical confinement: Fermi acceleration and geometric phase
17:30–18:00	Karrim Sabirov	Dirac operator on periodic graphs

Thursday, 15 May 2025

Time	Speaker(s)	Title
14:00–15:00	Pavel Exner	Transport in quantum systems: results and open problems
15:00–16:00	Jürgen Prestin	Interpolation for functions of bounded variation
16:00–16:30	Henrik Winkler	Spectral theory of Hamiltonian systems on graphs
16:30–17:00	Mitsuru Wilson	Spectral Properties of the Indefinite Kirchhoff Laplacian on Quantum Graphs
17:30–18:00	Iryna Denega, Yaroslav Zabolotnyi	On products of inner radii of domains relative to fixed points of the complex plane
18:00–18:30	Tetiana Osipchuk	Weakly 1-semiconvex sets in Euclidean spaces
18:30–19:00	Mariia Stefanchuk	On the exponential asymptotics of solutions of the nonlinear Beltrami equation at a point of the complex plane

Friday, 16 May 2025

Time	Speaker(s)	Title
14:00–14:30	Kateryna Pozharska	One approach for constructing exact Marcinkiewicz–Zygmund inequalities, quadrature rules and tight equal-norm frames
14:30–15:00	Yevgenia Semenova	Jacobi polynomials in the problems of numerical differentiation and summation
15:00–15:30	Andrii Shydlich	Direct and inverse theorems of approximation of functions given on hexagonal domains by the Taylor-Abel-Poisson means
15:30–16:00	Anatolii Serdiuk, Igor Sokolenko	Asymptotic behavior of best approximations of classes of infinitely differentiable functions defined by the modulus of continuity
16:30–17:00	Sandugash Mynbayeva	An approximate solution to a linear boundary value problem for an impulsive Fredholm integro-differential equation
17:00–17:30	Jambul Yusupov	Driven transparent quantum graphs
17:30–18:00	Davron Matrasulov	Dirac particle under the dynamical confinement
18:00–18:15	Carsten Trunk	Closing
18:20–19:00	WP Coordinators and Group Leaders	Roundtable

Main networking activities

Proceedings

We will publish the proceedings of the above-mentioned workshops as special issues with golden open access in a journal of high reputation.

Web-based knowledge exchange via an on-line database

This relates to knowledge sharing through collaborative web-based project work. The online database of the SOMPATY project will include a set of research databases, which will be continuously updated by the consortium participants for shared use.

Preprints and Drafts
workshop proceedings, public lectures, workshop lectures, models, programme code, information about the summer schools and outreach activities.
Platform for collaborative research

Studienangebot

Uni erleben

Studienstart

Studierendenleben

Quicklinks

Studienangebot

Studienorganisation

Studieren ist mehr

Information und Beratung

Quicklinks

Berufseinstieg

Gründungsservice

Weiterbildung

Alumni

Quicklinks

Kontakt

2023 - Tashkent, Uzbekistan

2024 - Almaty

2025 - Kyiv, Ukraine

Main networking activities

Proceedings

Web-based knowledge exchange via an on-line database

Studienangebot

Uni erleben

Studienstart

Studierendenleben

Quicklinks

Studienangebot

Studienorganisation

Studieren ist mehr

Information und Beratung

Quicklinks

Berufseinstieg

Gründungsservice

Weiterbildung

Alumni

Quicklinks

2023 - Tashkent, Uzbekistan

Scope and aims

Topics

Lecturers, Speakers and Committes

Program of School

Program of Conference

Book of Abstracts

Summer School & Conference Program

Summer School

Conference

2024 - Almaty

2025 - Kyiv, Ukraine

International Workshop

Plenary lectures & Talks

Work Program

Committees

Main networking activities

Proceedings

Web-based knowledge exchange via an on-line database