SESSIONS
Sessions
- COMPLEX VARIABLES AND POTENTIAL THEORY
- Organisers:
- T. Aliyev (Gebze), Anatoly Golberg (Holon, Israel) M. Lanza de Cristoforis (Padua), S. Plaksa (Kiev)
- Aims:
- This session is devotes to the wide range of directions of complex analysis, potential theory, their applications and related topics.
- DIFFERENTIAL EQUATIONS: COMPLEX AND FUNCTIONAL ANALYTIC METHODS, APPLICATIONS
- Organisers:
- H. Begehr (Berlin)
- Aims:
- Complex analytic and functional analytic methods are used extensively to treat complex ordinary and partial differential equations. The main subject of the session will be higher order partial differential equations. Integral representations, boundary value problems, singular integral equations, properties of integral transforms, polyharmonic Green, Robin, Neumann functions are related. articular subjects will be special equations as the Vekua equation, Poisson equation, Bitsadze equation, inhomogeneous biharmonic equation. Hyperanalytic function theory as a tool for treating elliptic systems in plane domains, systems in several complex variables, metaanalytic function theory, Riemann-Hilbert problem and applications e.g. for orthogonal polynomials might be also discussed. Ordinary complex differential equations and applications in mathematical physics is another subject of the session.
- COMPLEX-ANALYTIC METHODS FOR APPLIED SCIENCES
- Organisers:
- S. Rogosin (Minsk)
- Aims:
- The main attention will be paid to analytic-type results in complex analysis, especially those which have applications in Mathematical Physics, Mechanics, Chemistry, Biology, Medicine, Economics etc. Among the methods under consideration are: boundary value problems for holomorphic and harmonic functions and their generalisations, singular integral equations, potential analysis, conformal mappings, functional equations, entire and meromorphic functions, elliptic and doubly periodic functions etc. Applications in Fluid Mechanics, Composite Materials, Porous Media, Hydro- Aero- and Thermo-Dynamics, Elasticity, Elasto-Plasticity, will be the most considered at the session.
- SESSION CANCELED
- CLIFFORD AND QUATERNION ANALYSIS
- Organizers:
- Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen
- You can find the preliminary program and titles here
- Aims:
- As with the last editions we plan to have a session by the special interest group in Clifford and Quaternionic Analysis. This session aims to present recent advances in the field or, more in general, hypercomplex analysis intended as the study of function theories related to continuous and discrete Dirac operators and systems of partial differential operators taking values in a Clifford algebra. Talks on theoretical advances as wells as on applications, such as numerical analysis of PDE's, operator theory, signal and image processing, robotics, and physics, are most welcome.
- FIXED POINT THEORY AND APPLICATIONS
- Organisers:
- E. Karapinar(Ankara)
- Aims:
- The aim of this session is bring together leading experts and researchers in fixed point theory and to assess new developments, ideas and methods in this important and dynamic field. Additional emphasis will be put on applications in related fields, as well as other sciences, such as the natural sciences, economics, finance, computers and engineering.
- SPACES OF DIFFERENTIABLE FUNCTIONS OF SEVERAL REAL VARIABLES AND APPLICATIONS
- Organisers:
- V. Burenkov (Cardiff/Astana), S. Samko (Faro)
- Aims:
- The session "Spaces of differentiable functions of several real variables and applications" intends to cover various aspects of the theory of Real Variables Function Spaces (Lebesgue, Orlich, Sobolev, Nikol'skii-Besov, Lizorkin-Triebel, Morrey, Campanato, and other spaces with zero or non-zero smoothness), such as imbedding properties, density of nice functions, weight problems, trace problems, extension theorems, duality theory etc. Various generalizations of these spaces are welcome, such as for example Orlicz-Sobolev spaces, in particular generalized Lebesgue-Sobolev spaces of variable order, Morrey-Sobolev spaces, Musielak-Orlich spaces and their Sobolev counterparts etc. Other topics: any inequalities related to these spaces, properties of operators of real analysis acting in such spaces and also various applications to partial differential equations and integral equations.
- GENERALIZED FUNCTIONS
- Organisers:
- M. Oberguggenberger, S. Pilipović
- Aims:
- The session is devoted to theory and application of generalized functions, which comprise, among others, distributions, ultradistributions, hyperfunctions and algebras of generalized functions. Applications include, but are not restricted to, linear and nonlinear partial differential equations, asymptotic analysis, geometry, mathematical physics, stochastic processes, and harmonic analysis, both in theoretical and numerical aspects. This year, the special session will feature a number of talks on generalized functions in harmonic analysis. However, the session is open to contributions on any aspect of generalized functions and their applications.
- QUALITATIVE PROPERTIES OF EVOLUTION MODELS
- Organisers:
- K. Yagdjian, F. Hirosawa (Yamaguchi), M. Reissig (Freiberg)
- You can find the preliminary program, titles of talks and abstracts here
- Aims:
- The goal of the session is to discuss the state-of-the-art of qualitative properties of solutions of dispersive equations. Among other things, representations of solutions, L_p-L_q estimates, Strichartz estimates, and dispersive estimates, as well as their applications to the nonlinear evolution models are of interest. The question of the influence of low regularity coefficients on the well-posedness of the Cauchy problem is another key topic.
- NONLINEAR INFINITE DIMENSIONAL EVOLUTIONS AND CONTROL THEORY WITH APPLICATIONS
- Organisers:
- I. Lasiecka (Virginia), J. Webster, (Oregon), G. Avalos (Nebraska)
- Aims:
- Within the larger context of nonlinear evolution equations, we will focus on systems of PDEs which exhibit a hyperbolic or parabolic-hyperbolic structure in the framework of coupled systems with an interface. The topics of this special session will revolve around qualitative and quantitative properties of solutions to such equations: existence and uniqueness, regularity, and long time asymptotic behavior of solutions. These will be discussed in the cases of both bounded and unbounded domains. Associated control theoretic questions such as stabilization, controllability, and optimal control will be addressed as well. Of particular interest in this session will be interactions which involve nonlinearity and/or geometric considerations. Several methods of analysis for such problems will be presented. We anticipate the discussion of specific problems arising in applications, such as fluid-structure and flow-structure interactions, nonlinear acoustics, traveling waves in elasticity and viscoelasticity, plasma dynamics, and semiconduc- tors.
- NONLINEAR PDE
- Organisers:
- V. Georgiev (Pisa), T.Ozawa (Tokyo)
- Aims:
- The Session intends to discuss various nonlinear partial differential equations in mathematical physics. Among possible arguments the following ones shall be discussed: existence and qualitative properties of the solutions, existence of wave operators and scattering for these problems, stability of solitary waves and other special solutions.
- SESSION CANCELED
- TOPOLOGICAL AND GEOMETRICAL METHODS OF ANALYSIS
- Organisers:
- Prykarpatskyi Anatoly (Poland-Ukraine) Zelinskyi Yurii (Ukraine) Kamal Soltanov (Turkey)
- Topics (included, but are not limited to):
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- Manifold and mappings structure
- Geometric structure of cell manifolds
- Complex mappings and their geometric description
- Transversality, foliations and their applications
- Fixed point problems in functional spaces
- Hamiltonian dynamics and Liouville-Arnold integrability
- Poissonian mappings and reduction theory
- Flows on Koehlerian and hiper-Koehlerian manifolds
- Symplectic analysis and Lagrangian foliations
- Nonlinear analysis and applications
- Topological structure and solutions sets analysis
- Convex analysis
- Linearly convex analysis
- Quasiconformal and interior mappings and their applications
- DIDACTICAL APPROACHES TO MATHEMATICAL THINKING
- Organisers:
- Ewa Swoboda (Rzeszow)
- The goal of the session is to discuss various approaches to teaching and learning mathematics. Some possible topics are:
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- Algebraic (geometrical, stochastical ...) thinking
- Language and Communications in mathematics,
- Argumentation and proof,
- Generalisation,
- Teacher training,
- Advanced mathematical thinking,
- Didactics of university mathematics.
- Organizers are open to other topics in the area of Mathematics Education.
- WAVELET THEORY AND ITS RELATED TOPICS
- Organisers:
- Keiko Fujita (Toyama) and Akira Morimoto (Osaka)
- Aims:
- The theory of the mathematics is important, but it is also important to apply it to real life. This session intends to discuss not only basic theoretical results on mathematics, especially wavelet analysis or Fourier analysis, but also the applied mathematics related to the research in engineering, medicine, acoustics, and the other various fields.
- INTEGRAL TRANSFORMS AND REPRODUCING KERNELS
- Organisers:
- Organizers: Saburou Saitoh (Aveiro), Juri Rappoport (Moscow)
- Aims:
- Integral transforms and reproducing kernels are the fundamental concepts and methods; indeed, they will appear in complex analysis, functional analysis, operator theory, PDEs, stochastic theory, harmonic analysis, approximation theory, sampling theory, inverse problems, learning theory, support vector method, kernel method, discretization principle, Tikhonov regularization, integral equations, interpolation problems, matrix theory, inequalities, orthogonal systems, and so on. We expect to gather related mathematicians and to discuss our research topics and their applications from various viewpoints on the fundamental concept.
- PSEUDO-DIFFERENTIAL OPERATORS
- Organisers:
- Luigi Rodino (Torino), Joachim Toft (Växjö) and M. W. Wong (Toronto)
- Aims:
- This is a special session in the mathematics, applications and numerical analysis of pseudo-differential operators. Pseudo-differential operators are understood in a very broad sense embracing but not limited to harmonic analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and applications in engineering, geophysics and medical sciences.
- MEDICAL MATHEMATICS AND COMPUTING
- Organisers:
- Robert Gilbert (Newark), Juri Rappoport (Moscow), Vladimir Yakushev (Moscow).
- Aims:
- Mathematical simulation of medical and biological systems on the basis of methods of analysis, mechanics of continua and computing methods, dynamic problems of biomechanics, mathematical methods in ophthalmology, simulation of intraocular eye pressure measurement, virtual physiological human analysis, computational assisted surgery, implants and transplants analysis, medical visualization analysis, statistical analysis of medical dates, web applications, mobile health assistance.
- TOEPLITZ OPERATORS AND THEIR APPLICATIONS
- Organisers:
- S. Grudsky (Mexico City), N. Vasilevski (Mexico City).
- Aims:
- The idea of the session is to bring together the experts actively working on Toeplitz operators acting on Bergman, Fock or Hardy spaces, as well as in various related areas where Toeplitz operators play an essential role, such as asymptotic linear algebra, quantisation, approximation, singular integral and convolution type operators, financial mathematics, etc. We expect that the results presented, together with fruitful discussions, will serve as a snapshot of the current stage of the area, as well as for better understanding of the priority directions and themes of future developments.
- APPROXIMATION THEORY AND FOURIER ANALYSIS
- Organisers:
- Sergey Tikhonov (ICREA &CRM, Barcelona), Eli Liflyand (Bar-Ilan University, Israel)
- Aims:
- Approximation Theory and Fourier Analysis are frequently considered as two different, though related areas of analysis. The aim of this session is to bring together researchers from both subjects to open the common ground for the discussion on questions and methods in these areas. The main topics of the section include classical and modern problems in both areas such as Convergence problems of the Fourier series/transforms; Function spaces; Embedding theorems; Boundedness of (singular) integral operators; Weights; Polynomial approximation, Polynomial inequalities and applications, Orthogonal polynomials, Measures (moduli) of smoothness and K-functionals, and applications of these topics.
- DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS
- Organisers:
- L. Berezansky (Beer-Sheva), J. Diblik (Brno), A. Zafer (Kuwait), M. Zima (Rzeszow)
- Aims:
- Qualitative theory of differential and difference equations: initial and boundary value problems, stability, boundedness, oscillation, asymptotic behavior, positive solutions, dynamic equations on time scales, applications to real-life problems.
- Talks: link
- ANALYTIC METHODS IN COMPLEX GEOMETRY
- Organisers:
- A. Schmitt (Berlin)
- The speakers and their titles may be found here:
speakers
titles & abstracts
- Aims:
- This session will focus on analytic methods in complex analytic and algebraic geometry. Topics include: hyperbolicity, Kähler-Einstein metrics, Kähler-Ricci flow, moduli spaces, non-standard methods, p-adic methods, positivity, representations of fundamental groups, singularities, vector bundles.
- M-FRAME CONSTRUCTIONS
- Organisers:
- K. Rudol (AGH Cracow), H.G. Stark (University of Applied Sciences, Aschaffenburg),A, Grybos (AGH Cracov), D. Onchis (NuHAG & UEMR)
- Aims:
- The purpose of this session is to present theoretical and computation results related to the extension of the optimal single window frames constructions to the more complex case of multi-window frames (M-frames) constructions. We are expecting papers dealing with demanding applications involving the optimization of multi-waveforms. Also challenges in high-D frames constructions should be of main interest.
- APPLICATIONS OF QUEUEING THEORY IN MODELLING AND PERFORMANCE EVALUATION OF COMPUTER NETWORKS
- Organisers:
- Krzysztof Grochla (Gliwice, Poland)
- Aims:
- The purpose of this session is to present contributions to the community of mathematicians, how the queuing theory, which is present in telecommunicatoin since the figures of Erlang and Molina, will be used to model, evaluate and design computer networks, the Internet in particular. Examplary topics are: models of traffic and congestion control mechnisms, quality of service issues, the use of Markov chains, diffussion approximation and fluid flow approximation. We may also discuss software implementations and numerical problems encountered in modelling large network topologies.
- Discussion group and session on applied mathematics
- Organisers:
- Siarhei Bosiakov (Minsk, Belarus), Ireneusz Telejko (Kraków, Poland)
- Aims:
-
The discussion group on applied mathematics includes presentations of the computer and industrial enterprises related to application of various computer and mathematical models. The main goal of these representations is to introduce into problems arising in applications; to try to create mathematical and computer methods of its solutions; to pay attention of mathematicians to applied problems.
Possible topics include:- industrial mathematics,
- material sciences,
- engineering,
- fracture and porous media,
- composites
9th INTERNATIONAL ISAAC CONGRESS
KRAKÓW Phone number/Fax number +48 12 662 78 64 E-mail: 9th.isaac@gmail.com