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,
RiemannHilbert 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.

COMPLEXANALYTIC METHODS FOR APPLIED SCIENCES
 Organisers:
 S. Rogosin (Minsk)
 Aims:

The main attention will be paid to analytictype 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 ThermoDynamics, Elasticity, ElastoPlasticity, 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'skiiBesov, LizorkinTriebel, Morrey, Campanato, and other spaces with zero or nonzero 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 OrliczSobolev spaces, in particular generalized LebesgueSobolev spaces of variable order, MorreySobolev spaces, MusielakOrlich 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 stateoftheart of qualitative properties of solutions of dispersive equations. Among other things, representations of solutions, L_pL_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 wellposedness 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 parabolichyperbolic 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 fluidstructure and flowstructure 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 (PolandUkraine)
Zelinskyi Yurii (Ukraine) Kamal Soltanov (Turkey)
 Topics (included, but are not limited to):

 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 LiouvilleArnold integrability
 Poissonian mappings and reduction theory
 Flows on Koehlerian and hiperKoehlerian 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:

 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.
 PSEUDODIFFERENTIAL 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 pseudodifferential operators. Pseudodifferential 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 (BarIlan 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 Kfunctionals, and applications of these topics.
 DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS
 Organisers:
 L. Berezansky (BeerSheva), 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 reallife 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, KählerEinstein
metrics, KählerRicci flow, moduli spaces, nonstandard methods, padic
methods, positivity, representations of fundamental groups, singularities,
vector bundles.
 MFRAME 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 multiwindow frames (Mframes) constructions.
We are expecting papers dealing with demanding applications involving the
optimization of multiwaveforms. Also challenges in highD 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
The session on applied mathematics is a part of the discussion group where mathematical results will be presented. The discussion group is rather discussions devoted to eventual cooperation.