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Complex Analysis and its Applications

International Conference "Complex Analysis and its Applications"

The International Conference “Complex analysis and its applications”, dedicated to the 90th anniversary of the professor Igor Petrovich Mityuk, will be held from June 2 to 9, 2018 in Gelendzhik on the basis of the branch of the Kuban State University.

The conference is organized jointly by the scientists of the Kuban State University, Petrozavodsk State University and the Steklov Institute of Mathematics. The conference is supported by the Russian Foundation for Basic Research (project No. 18-01-20023).

The purpose of the conference is to discuss the current state and current trends in the development of the Complex Analysis and its applications.

The following sections are provided: Geometric function theory, Function spaces and approximation theory, Quasiconformal analysis, Multidimensional Complex Analysis, Potential Theory, Related Questions of Analysis and applications.

Plenary lectures on modern methods of complex analysis and related fields will be of interest to both young and experienced mathematicians. Section reports on original results cover a wide range of applications of various methods of complex analysis: parametric and variational methods of the theory of functions of a complex variable, the method of quadratic differentials, and the symmetrization method. The reports will present the latest facts about the geometry of holomorphic and harmonic mappings concerning growth, covering, and distortion theorems in various classes of analytic functions. A significant part of the conference reports is devoted to modern methods of approximation theory. We especially note the questions of approximation by polynomials, simplest fractions and their generalizations. It is supposed to discuss the problems of multidimensional complex analysis, the problems of the theory of quasiconformal and quasiregular mappings, and some questions of potential theory that have direct applications in complex analysis. Particular attention will be paid to the theory of capacities, the method of extremal metrics, and problems of extremal decomposition. Related problems of complex analysis in various fields of mathematics will be considered. In particular, the results concerning the theory of partial differential equations, special questions of mathematical physics, and functional analysis will be presented. 

Working languages of the Conference: Russian, English. 

Program Committee:

Chairman: V.N. Dubinin (Institute for Applied Mathematics of RAS Far Eastern Branch),

Members of the Program Committee: F.G. Avkhadiev (Kazan Federal University), A.I.Aptekarev (RAS Institute of Applied Mathematics), V.A. Babeshko (Kuban State University), V.I. Buslaev (Steklov Mathematical Institute of RAS), E.M. Chirka (Steklov Mathematical Institute of RAS), V.Ya. Gutlyanskii (Institute of Applied Mathematics and Mechanics of NAS, Ukraine), S.L. Krushkal (Bar-Ilan University, Israel), A.S. Losev (Volgograd State University), S.R. Nasyrov (Kazan Federal University), D.V. Prokhorov (Saratov State University), A.G. Sergeev (Steklov Mathematical Institute of RAS), A.Yu. Solynin (Texas Tech University, USA), V.V. Starkov (Petrozavodsk State University), A.K. Tsikh (Siberian Federal University), S.K. Vodop’yanov (Sobolev Institute of Mathematics of RAS Siberian Branch), M. Vuorinen (University of Turku, Finland).

Organizing Committee:

Chairman: M.B. Astapov (rector of Kuban State University)

Co-Chairmans: A.V. Voronin (rector of Petrozavodsk State University), V.A. Babeshko (Kuban State University), V.N. Dubinin (Institute for Applied Mathematics of RAS Far Eastern Branch)

Deputy Chairmans: B.E. Levitskii (Kuban State University), V.V. Starkov (Petrozavodsk State University)

Members of the Organizing Committee (Kuban State University): A.E. Biryuk, M.N. Gavrilyuk, S.P. Grushevskii, A.S. Ignatenko, V.A. Lazarev, V.G. Leznev, M.V. Levashova, N.N. Mavrodi, E.D. Ostroushko, E.A. Shcherbakov. 

Accommodation planned: Hotel “Krasnaya Talka” (Gelendzhik). Arrival – June 2, 2018, departure – June 9, 2005. Conference participants arriving in Krasnodar will be transferred to the hotel by bus.

Organizing Committee Address: 149 Stavropolskaya Str., Krasnodar 350040, Russia, Kuban State University, Faculty of Mathematics and Computer Science, Organizing Committee.

E-mail: coman@kubsu.ru

Conference Website: http://coman2018.confirent.ru .



Conference venue: 
The Branch of the Kuban State University

Accommodation planned: Hotel “Krasnaya Talka” (Gelendzhik). Arrival – June 2, 2018, departure – June 9, 2005. Conference participants arriving in Krasnodar will be transferred to the hotel by bus.

Conference level: 
Conference type: 
Accommodation of participants: 
353460, Krasnodar Region, Gelendgik, Lunacharskogo St., 126.
Participants Country Title of the Report
Amozova Kira Russia α–accessible domains
Aptekarev Alexander Russia Convergence of rational approximants and extremal problems of geometric theory of functions
Avkhadiev Farit Russia Integral conformally invariant inequalities and their applications
Babeshko Vladimir Russia The block element method in applications (with O.V. Evdokimova and O.M. Babeshko)
Bakhtin Alexandr Ukraine Three problems on extremal decomposition of the complex plane with free poles
Bhowmik Bappaditya India Quasiconformal extension of meromorphic univalent functions with nonzero pole
Biryuk Andrei Russia Remarks on KO41 Theory of Turbulence (with A.Svidlov and E. Silchenko)
Borisova Yana Russia On Problem Fekete and Szeg¨o (with I.A. Kolesnikov)
Borodin Petr Russia Density of simple partial fractions and their generalizations in function spaces
Bunyakin Alexei Russia Approximation of stationary solutions of the Navier-Stokes equations system with the potential of velocity and speci c state equation for compressible continuum (with V.G. Zolotukhina)
Buslaev Viktor Russia Shur's algorithm for formal power series
Dubinin Vladimir Russia Connected lemniscates and distortion theorems for polynomials and rational functions
Fernández Arturo Spain Classification Theory for Klein Surfaces
Filatov Vladimir Russia Massive sets and Liouville type theorems
Ganenkova Ekaterina Russia Differential inequalities for polynimials (with V.V. Starkov)
Gavrilyuk Mikhail Russia Maximum of the diameter of level lines in Jenkins class
Golberg Anatoly Israel Extremal bounds in module estimates
Goryainov Victor Russia Semigroups of holomorphic mappings of a half-plane and Loewner equation
Graf Sergey Russia The analogues of Nehari theorem for harmonic functions
Isaev Konstantin Russia Representing systems of exponentials in locally convex subspaces of the normed space of analytic functions (with R.S. Yulmukhametov)
Isangulova Daria Russia Analogs of Korn's inequality on Heisenberg groups
Kalmykov Sergei Russia On Bernstein- and Markov-type inequalities for rational functions (with Bela Nagy and Vilmos Totik)
Karmanova Maria Russia On Metric Properties of Mappings of Sub-Lorentzian Structures
Kazantsev Andrey Russia Study of the surface of a generalized reduced module for multiply connected domain (with M.I. Kinder)
Khudayberganov Gulmirza Uzbekistan Laurent series in the classical Cartan's domains
Klimentov Sergey Russia Representations of the second kind of the solutions to the first order general elliptic systems in the complex form
Kolesnikov Ivan Russia The accessory parameters in the Schwartz equation
Komlov Aleksandr Russia Hermite--Pade approximants for meromorphic functions on a compact Riemann surface
Krivosheyeva Olesya Russia Singular points of sum of exponential monomials series
Kurbanov Bukharbay Uzbekistan The Morera boundary theorem in the space of rectangular matrices
Kuznetsov Mikhail Russia On a certain characteristic of closed nondegenerate curves
Levashova Maria Russia Variational principle in the theory of quasiconformal mappings
Levitskiy Boris Russia P-harmonic radius and p-harmonic Green's mappings
Losev Alexander Russia On the asymptotic behavior of solutions of elliptic-type equations on noncompact Riemannian manifolds
Lysov Vladimir Russia Asymptotics of Hermite-Padé approximations for functions with three branch points
Maergoiz Lev Russia Ways of Analytic Continuation of Many-Sheeted Functions of One Variable. Applications.
Malkovich Evgeny Russia On connections on 3-dimensional subRiemannian Lie groups.
Malyutin Konstantin Russia Free interpolation in the class of functions of finite order in the half-plane (with A. Gusev)
Malyutina Aleksandra Russia On differential properties of mappings with s-averaged characteristic (with K.A. Alipova)
Mavrodi Nikolay Russia Singular points of the Hurwitz composition
Mazepa Elena Russia On solvability of a boundary value problem for the Poisson equation on unbounded open sets of Riemannian manifolds
Menovschikov Alexander Russia Decomposable operators on Lp-direct integrals
Mikhalkin Evgeny Russia On the structure of the classical discriminant and multiple roots
Mitasov Sergey Russia Properties of the matrix characteristic in the Sobolev class of functions
Mkrtchyan Aleksandr Russia Continuation of Multiple Power Series in a Sectorial Domain by Means of Interpolating the Coefficients by Meromorphic Function
Molchanova Anastasia Russia On a boundary correspondence for homeomorphisms with weighted bounded (p, q)-distortion (with S.K. Vodopyanov)
Nasyrov Semen Russia Structure of trajectories for a quadratic differential on a three-sheeted Riemann surface of genus 1
Otemuratov Bayrambay Uzbekistan On condition of holomorphic continuations of functions from a boundary of a domain
Pchelintsev Valerii Russia On the quasiconformal geometry of the Neumann eigenvalue problem
Ponnusamy Saminathan India On Logarithmic Coefficients and some related Conjecture for certain class of Univalent Functions
Prenov Barlykbay Uzbekistan On an analog of the Laurent series for harmonic functions
Prilepkina Elena Russia The method of curves families modules in extremal decomposition problems.
Prokhorov Dmitri Russia Value regions of univalent functions within different classes
Rakesh Parmar India Extended Exton's Triple Hypergeometric Functions X8;p and Associated Bounding Inequalities
Rakhmonov Uktam Uzbekistan On the Carleman formula for a matrix ball of the third type (with Kh.Kurambayev)
Riihentaus Juhani Finland Removability results for subharmonic functions, for separately subharmonic functions, for harmonic functions and for holomorphic functions
Sergeev Armen Russia Universal Teichmueller space as a non-trivial example of infinite-dimensional complex manifolds
Shabalin Pavel Russia Riemann - Hilbert boundary value problem with several points of turbulence (with A.Kh. Fatykhov)
Sharma Navneet Lal India On Yamashita's conjecture for some classes of univalent functions
Shchepin Evgeny Russia On duplication formulas for polygamma functions
Shcherbakov Evgeni Russian Federation Quasiconformal mappings and equilibrium forms of liquiid drops
Shishkin Andrey Russia The homogeneous convolution equation in space of holomorphic functions
Shlyk Vladimir Russia BV-functions and weighted modules on a Riemann surface
Silaev Alexander Russia Asymptotic behavior of harmonic functions on model Riemannian manifolds
Solynin Alexander USA The Art of symmetrization: Ideas of I.P. Mityuk and modern developments
Starkov Viktor Russia Keller mappings and Jacobian conjecture
Sugawa Toshiyuki Japan Refinements of Schwarz Lemma and their applications to concave functions
Svidlov Alexander Russia Uniqueness sets of the simple-layer potential for the Helmholtz equation (with A. Biryuk)
Tatarkin Aleksandr Russia Elementary solutions of homogeneous q-sided convolution equation (with U. Saranchuk)
Trukhlyaeva Irina Russia Estimate of a polynomial characteristic of a multidimensional domain satisfying the inner cone condition
Tyurikov Evgenij Russia The Main Boundary Value Problem of the Membrane Theory of Convex Shells for One Class of Symmetric Domes
Vikharev Sergey Russia The Liuoville-type theorems for stationary Ginzburg-Landau equation on Lipshitz manifolds of a special type
Vodop'yanov Sergey Russia Quasiconformal analysis of two-indexed scale of spatial mappings and its applications
Vuorinen Matti Finland Metric properties of quasiconformal mappings
Yaremenko Ludmila Russia On the curvature of level-lines in the class of regular functions

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