G2-series are about strong and beautiful mathematics, especially those involving group actions on combinatorial objects.
The main goal of G2G2-Minisymposia is to bring together researchers from different mathematical fields to exchange knowledge and results in a broad range of topics relevant to graph theory and group theory with connections to algebraic combinatorics, Znite geometries, designs, computational discrete algebra, vertex operator algebras, topological graph theory, network analysis, and their applications in physics, chemistry, biology.
G2G2-Minisymposia is associated with G2G2-Summer School which will be held in Rogla, 29 June - 4 July, as internal satellite event of 8ECM.
Elena Konstantinova (Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Russia)
Ivanov Alexander A. (Imperial College London, UK)
Calculus of variations and optimal control; optimization
Mathematical methods based on the variational approach are successfully used in a broad range of applications, especially those fields that are oriented on partial differential equations (PDEs).
Our problem area addresses a class of nonlinear variational problems described by all kinds of dynamic and static PDEs, inverse and ill-posed problems, nonsmooth and nonconvex optimization, and optimal control including shape and topology optimization. Within these directions, we focus but are not limited to singular and unilaterally constrained problems arising in mechanics, which are governed by complex systems of generalized variational equations and inequalities.
While standard mathematical tools are not applicable here, we aim at a non-standard well-posedness analysis, asymptotic and approximation techniques including homogenization, which are successful within the primal as well as the dual variational formalism.
In a broad scope, the minisymposium objectives are directed toward advances that are attained in the mathematical theory of nonsmooth variational problems, its numerical computation and application to engineering sciences.
Victor A. Kovtunenko (University of Graz, Austria)
Hiromichi Itou (Tokyo University of Science, Department of Mathematics, Japan)
Alexandr M. Khludnev (Novosibirsk State University, Department of Mathematics and Mechanics, and Lavrentyev Institute of Hydrodynamics SB RAS, Russia)
Evgeny M. Rudoy (Novosibirsk State University, Department of Mathematics and Mechanics, and Lavrentyev Institute of Hydrodynamics SB RAS, Russia)
Since the classical text written by Szegő in 1939, which set the foundations for the theory for orthogonal polynomials on the real line and on the unit circle, great advances both in the general theory and in the interaction with other areas of mathematics take place. Among them, we highlight here the links with numerical analysis (via classical Gaussian integration and their extensions as well as spectral methods for boundary value problems), approximation theory, spectral theory of differential operators, or potential theory in the complex plane.
In the last few years, a very fruitful area of research for the mathematical community working in orthogonal polynomials is related to the theory of random matrices, determinantal random processes and integrable systems. Structural properties of polynomials in the framework of standard L2 orthogonality with respect to a Borel measure (or a weight function) have been deeply studied for other patterns of orthogonality like multiple orthogonal polynomials, orthogonal polynomials in several variables or Sobolev orthogonal polynomials.
The aim of this mini-symposium is to bring together international experts in different aspects of the theory of orthogonal polynomials, from analytic to numerical aspects with a special emphasis on their applications, and give the community more visibility in an international meeting that has a larger scope than the regular conferences on the topic.
Juan J. Moreno-Balcázar (University of Almería, Department of Mathematics, Spain)
Galina Filipuk (University of Warsaw, Poland)
Francisco Marcellán (University Carlos III of Madrid, Spain)