Modern problems in mathematics and its applications
International (49-th National) Youth School-Conference

Yekaterinburg, 2018 February from 4 to 10
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 « May 2019 » 
4—10 February 2018
Important Dates
from 19 Jun 2017 till 28 Jan 2018
Abstract submission
from 19 Jun 2017 till 28 Jan 2018
Notification of acceptance
from 29 Dec 2017 till 1 Feb 2018
Arrival and departure
from 4 Feb 2018 till 10 Feb 2018
Conferences Management System
About project "Conferences"
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February 5

The conference is open! We invite everyone to come to the "Ivolga (Oriole)" as listeners.

February 5

The information about the lecture of Anton Plaksin (Yekaterinburg) was added to the "Invited speakers" section.

January 31

The information about the lecture of Dr.Sc. A.A. Kovalevsky (Yekaterinburg) was added to the "Invited speakers" section.

January 23

In the menu of the registered participant there appeared a section devoted to the periods of residence at the recreation center "Ivolga(Oriole)". We ask all participants to specify the necessary information for booking the rooms by the organizing committee of the conference.

January 23

The new chairman of the section "Approximation of functions" was appointed Roman Akopyan.

January 23

We add the information to the section "Invited lecturers" about the lecture of Fyodor Stonyakin (Simferopol).

December 29

The registration deadline for participants and their reports was extended until January 28 inclusive.

December 8

The announcement of the lectures of Corresponding Members of the Russian Academy of Sciences Vladimir Ushakov and Alexander Makhnev (both from Yekaterinburg) has been published.

November 30

The information about the lecture of E.V. Gromova (St. Petersburg) is published on the website.

November 29

The announcement of the lecture of Corresponding Member of the Russian Academy of Sciences N. Yu. Lukoyanov (Yekaterinburg) is available on our website.

November 28

The information on the lecture of Academician of RAS V.I. Berdyshev (Yekaterinburg) was added on the website.

November 23

The information on the lecture of Corresponding Member of RAS V.D. Mazurov (Novosibirsk) was added on the website.

November 22

The abstracts of all the lectures are added to the website.

November 22

The information about the lecture of E.V. Konstantinova (Novosibirsk) is added to the site.

November 22

The conference is supported by the Ural Federal University (UrFU).

November 22

First announcement is published on the website.

November 14

The section "Invited lecturers" has been added to the site, in which information on the planned lectures will be published as the confirmation is received. Stay tuned!

November 9

The conference will take place at the recreation center "Ivolga (Oriole)".

August 15

Proceedings of the 48-th Conference, held on February from 5 to 11, are published in the CEUR service. The link for viewing and downloading is

June 19

A registration of participants for the 2018 conference is open. We ask you to fill in the application form in advance to apply to the RFBR for funding. The information on the past conference has been moved to the archive, the link to 2017 conference is

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November 22

First announcement (pdf)

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Key research areas

Key research areas of the school-conference (reports sections):
  1. Algebra and Discrete Mathematics (chaired by Ph.D. N.V. Maslova)
  2. Mathematical theory of optimal control and differential games (chaired by Ph.D. D.V. Khlopin and Ph.D. M.I. Gomoyunov)
  3. Topology and Geometry (chaired by Dr.Sc. A.V. Osipov)
  4. Computer Science and Parallel Programming (chairman A.V. Sozykin, Ph.D.)
  5. Image processing and navigation in geophysical fields (chairmen: Ph.D. V.B. Kostousov and D.S. Perevalov)
  6. Approximation of functions (chairman R.R. Akopyan, Ph.D.)
  7. Mathematical programming, ill-posed problems and data analysis (chairman Dr.Sc. M.Yu. Khachai)
  8. Mathematical Biology (chaired by Ph.D. S.F. Pravdin)
  9. Stochastic methods (chaired by Ph.D. Yu.V. Averbukh)
  10. Nonlinear partial differential equations and variational inequalities (chairman Dr.Sc. A.A. Kovalevsky)
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Invited speakers

The list of lecturers and topics of lectures will be found in this section, upon receipt of confirmation. Lecture courses are oriented to students and young scientists.

The following leading scientists are probably planning to give some lectures at the conference:
  • Professor Alexander Ivanov, Imperial College London, Department of Mathematics, United Kingdom, London

    "Classification of locally projective groups, graphs and amalgams"

    Abstract: We consider bipartite edge-transitive graphs, such that the vertices in one part have valency 3 and the ones in the other have valency 7. The stabilizer of the vertex induces on the neighbours the group S3 or L3(2), depending on the valency. The goal is to classify the amalgams formed by the stabilizers of adjacent vertices.

  • Professor Yuri Kochetov, Doctor of Physics and Mathematics, Chief Researcher of Sobolev's Institute of Mathematics SB RAS

    "Logistic Mathematical models"

    Abstract: An overview of mathematical models of discrete and combinatorial optimization from the field of production, transport and warehouse logistics will be presented. Particular attention will be paid to the game models (Stackelberg games), describing the competition in the markets. Numerical methods for solving such problems will also be discussed.

  • Yelena Konstantinova, Associate Professor, PhD, Senior Researcher of Sobolev Institute of Mathematics SB RAS

      "Greedy approach to the study of the cyclic structure of Cayley graphs"

    Abstract: The report provides an overview of recent studies of the cyclic structure of Cayley graphs on a symmetric group. The main attention is paid to the "greedy approach" to the construction of cycles, as well as their connection with the generalized Gray codes. A wide variety of results of applying the "greedy approach" on various families of Cayley graphs is demonstrated.

  • Professor Viktor Mazurov, Corresponding Member of RAS, Doctor of Physics and Mathematics. Sci., Senior Researcher, Institute of Mathematics SB RAS

     "Classification of finite simple groups:forty years of mistrust"

    Abstract: In 1980 there was an official announcement about the completion of the classification of finite simple groups (QGSG), which immediately aroused a wave of skepticism about the completeness of the list of these groups and the correctness of the relevant evidence. The lecture tells about what has changed over the years, and whether it is now possible to believe in the completeness of the GCC.
  • The lecture is canceled.
  • Professor Denis Krotov, Doctor of Physics and Mathematics, Leading Researcher of Sobolev's Institute of Mathematics SB RAS

    "On perfect colorings of the Hamming graph"

    Abstract: A perfect coloring (also known as equitable partition, regular partition, partition design) of a graph is a vertex coloring such that vertices of the same color has the same color spectra of their neighborhoods. We discuss the construction of perfect colorings of the Hamming graphs H(n,q), mainly concentrated on 2-colorings.

  • Acad. Vitaliy Berdyshev, Academician of the Russian Academy of Sciences, Chief Researcher, Institute of Mathematics and Mechanics, Ural Branch of RAS

    "Planning traffic in surveillance"

    Abstract: Let there be a corridor in which the device must pass from the initial to the final point in the presence of unfriendly observers. The extremal problem of searching the trajectory most hidden from observers is considered. It is intended to describe the set of all such trajectories.

  • Professor Nikolay Lukoyanov , Corresponding Member of the Russian Academy of Sciences, Director of the Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

    "Positional Control in Dynamical Systems: The Problem of Guarantee Optimization"

    Abstract: We consider a dynamical system controlled under interference conditions, in size commensurate with control. The quality of the process is evaluated on a finite time interval by a given indicator. Within the framework of the game-theoretic approach, the task is to find the optimal guaranteed result and construct a management strategy that ensures this result. The structure and properties of optimal strategies are discussed depending on the properties of the optimized quality index, the availability of resource constraints, and management delays. For a linearly convex case, methods for approximate solution of the problem are indicated, based on the retrograde construction of convex hulls of auxiliary program functions. Illustrative examples are given.

  • Gromova Ekaterina Viktorovna, doctor of physical and mathematical sciences, Associate Professor of Chair of Mathematical Theory of Games and Statistical Solutions, St. Petersburg State University

    "Nonantagonistic Dynamic Games. Co-operative Approach"

    Abstract: The modern state of the theory of dynamic (differential and multi-step) games is discussed, and the main emphasis is on results using the achievements of cooperative game theory. In addition, applied mathematical models are given.

  • Vladimir Ushakov, Corresponding Member of the Russian Academy of Sciences, Chief Researcher, Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

    "Problems on the approach of control systems on a finite time interval"

    Abstract: The problems of control of nonlinear systems for a finite time interval are considered. Questions related to the construction of solving strategies in these problems are discussed. Model examples and algorithms for solving problems are given.

  • Alexander Makhnev, Corresponding Member of the Russian Academy of Sciences, Chief Researcher, Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

    "Distance-regular Schilla Graphs"

    Abstract: Schilla graphs were discovered by Kulen and Pak as distance-regular graphs of diameter 3 with a second eigenvalue reaching the minimum boundary. On the other hand, Yurisic and Vidali proved that a distance-regular graph of diameter 3 containing a maximal 1-code that is locally regular and perfect with respect to the last neighborhood of the vertex has an intersection array {a(p+1), cp, a+1; 1 , c, ap} or {a(p +1),(a-1)p,c;1,c,ap}, where a=a_3, c=c_2 and p=p^3_{33}. In the latter case, we obtain the Schilla graph with b_2 =c_2. The report will provide an overview of the results of Schilla graphs.

  • Alexander Kovalevsky, Doctor of Sciences, Chief Researcher, Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

    "Degenerate anisotropic variational inequalities with L1-data"

    Abstract:We consider some notions of solution (T-solution, shift T-solution, and others) of the variational inequality corresponding to a nonlinear degenerate anisotropic elliptic second-order operator, a sufficiently large set of constraints, and an L^1-right-hand side. We formulate theorems of existence and uniqueness of these solutions and describe their properties. The notion of T-solution is related to the condition that the considered set of constraints contains bounded functions, and the notion of shift T-solution does not require this condition. We give results on the relation of these notions and also show that, in the case of sufficiently regular right-hand sides, the specified kinds of solutions coincide with the solution of the variational inequality in the usual sense.

  • Anton Plaksin, Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

    "On the Hamilton-Jacobi equation in problems of control of systems of neutral type"

    Abstract:The paper is devoted to the development of differential games theory and the corresponding Hamilton-Jacobi equations for functional-differential neutral-type systems. For a conflict-controlled dynamical system described by functional differential equations of neutral-type in Hale’s form, we consider a differential game with a quality index that estimates the motion history and realizations of the players’ controls. Based on a coinvariant derivatives conception we derive a Hamilton–Jacobi equation. It is proved, firstly, that the solution of this equation, satisfying certain conditions of smoothness, is the value of the initial differential game, and secondly, that value at points of differentiability satisfies the considered Hamilton–Jacobi equation. Thus this equation can be interpreted as the Hamilton–Jacobi-Isaacs–Bellman equation for neutral type systems.

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Program committee

Chairman - corr.-mem. of RAS, Prof. Alexander Makhnev

  • Youriy Averbukh
  • Nikolay Antonov
  • Michael Gomoyunov
  • Alexey Danilin
  • Alexander Kovalevsky
  • Viktor Kostousov
  • Natalya Maslova
  • Denis Perevalov
  • Vladimir Pimenov
  • Sergey Pravdin
  • Andrey Sozykin
  • Svyatoslav Solodushkin
  • Michael Khachay
  • Dmitriy Khlopin
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Organizing committee

Sophia Kovalevskaya str., 16, Yekaterinburg, Russia, Postal Code 620990.

N.N. Krasovsky Institute of Mathematics and Mechanics of the UB RAS

Chairman - Prof. Alexander Osipov

Secretary - Pavel Chistyakov

  • Natalia Maslova
  • Dmitriy Khlopin

  • Alexey Borbunov
  • Konstantin Yefimov
  • Vladislav Kabanov
  • Yekaterina Neznakhina
  • Natalia Novosyolova
  • Sergey Pravdin
  • Alexey Rodin
  • Leonid Shalaginov
  • Dmitry Panasenko
  • Dmitry Yamkovoi

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