Schedule

Organisers:  T. Aliyev (Gebze), M. Lanza de Cristoforis (Padua), S. Plaksa (Kiev), P. Tamrazov (Kiev)

Aims: This session is devotes to the wide range of directions of complex analysis, potential theory, their applications and related topics.

Schedule

Organisers:  V. Mityushev (Krakov),  S. Rogosin (Minsk)

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.

Schedule

Organisers:  H. Begehr (Berlin), D.-Q. Dai (Guangzhou), J.Y. Du (Wuhan)

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. Particular 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 are an other subject of the session.

I. complex analysis

Schedule

Organisers:  G. Barsegian (Yerevan), G. Csordas (Honolulu)

The numbers of zeros of certain classes of meromorphic functions are studied, particularly, in the classical Nevanlinna and Ahlfors theories. Some analogous results were obtained also for the Gamma-lines of functions (i.e., preimages of curves). This enlarges the value distribution, describes not only the numbers but also the locations of a-points and, unexpectedly, leads to new distribution type phenomena for the zeros in real analysis and real algebraic geometry. Thus we are now in a stage of formation of some methods working in both real and complex analysis. The zeros (a-points, fixed-point) and Gamma-lines arising in complex analysis (particularly meromorphic functions and solutions of ODE, harmonic and polynomial mappings), real analysis, real and complex algebraic geometry will be subject of this session.