Together with the general session's talks, the conference will host a number of special minisymposia.

To apply with a Minisymposia proposal, please visit Online registration for Minisymposia proposals!

The deadline for submitting proposals is 1 December 2019 at midnight (Central European Time).

Download call for minisymposia proposals

Below are confirmed Minisymposia.

When submitting an abstract please select an option whether you wish to have it in a general session or in a specific minisymposium. You will be able to apply through your personal registration platform after the deadline for submitting proposals is closed.

Organizer

Juan J. Moreno-Balcázar (University of Almería, Department of Mathematics, Spain), balcazar@ual.es

Co-Organizers

Galina Filipuk (University of Warsaw, Poland), filipuk@mimuw.edu.pl

Francisco Marcellán (University Carlos III of Madrid, Spain), pacomarc@ing.uc3m.es

Description

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.

**Research area:** Special functions - 33C45, 33C47, 33D45, 33C50

Organizers

Brendan Owens (University of Glasgow, School of Mathematics and Statistics, UK), brendan.owens@glasgow.ac.uk

Sašo Strle (University of Ljubljana, Slovenia), saso.strle@fmf.uni-lj.si

Description

Low-dimensional topology is the study of manifolds of dimension 4 or lower, such as our physical universe and spacetime. This subject had its origins in Europe with the work of such luminaries as Poincaré, Heegaard, Seifert and Möbius. Dramatic developments in the later 20th century came from the work of, in particular, Donaldson, Freedman, Gromov, Ozsváth, Szabó, and Witten. Today the subject is the focus of a tremendous amount of worldwide activity and has been enjoying a resurgence across Europe in the last two decades. Modern methods in low-dimensional topology draw on and are deeply connected with many other subjects including physics, differential geometry, combinatorics and representation theory.

This mini-symposium will bring together international experts in the subject including some of the most promising early career mathematicians working in the field. A range of topics and their connections to each other and other areas of mathematics will be explored. These will include symplectic and contact topology, Heegaard Floer homology, Seiberg-Witten theory and monopole Floer homology, and knot theory including Khovanov homology.

**Research area:** 57 Manifolds and cell complexes

Organizers

Paola Rubbioni (University of Perugia, Italy, Department of Mathematics and Computer Sciences), paola.rubbioni@unipg.it

Aleksander Cwiszewski (Nicolaus Copernicus University, Poland), aleks@mat.umk.pl

Gennaro Infante (Universita della Calabria, Italy), gennaro.infante@unical.it

Description

The minisymposium is devoted to recent advances in topological methods in differential equations. The topological approach has been intensively used in the last years to study differential models arising from the life sciences.

The session will be focused on existence, bifurcation, multiplicity, localization, stability and approximation of solutions to elliptic or parabolic differential equations studied by means of topological degree, fixed point index, Conley-type indices, fixed point and critical point theories as well as dynamical systems. Particular attention will be given to real world applications.

Organizer

Yuliya Mishura (Taras Shevchenko National University of Kyiv, Ukraine), myus@univ.kiev.ua

Co-Organizers

Mark Podolskij (Aarhus University, Denmark), mpodolskij@math.au.dk

Nikolaj Leonenko (Cardiff University, Wales), leonenkon@cardiff.ac.uk

Giulia Di Nunno (University of Oslo, Norway), giulian@math.uio.no

Description

The phenomena of roughness and long-range dependence are being actively investigated by various research groups throughout the world. The reason of such profound interest to these phenomena is their ubiquity in different areas, such as natural sciences (including fluid mechanics, physics, biology, chemistry, neuroscience and so on), economics and social studies (financial mathematics, insurance), as well as technology and engineering (electronics, cellular communications).

Along with practical importance, this topic is of great interest from mathematical point of view and it attracts specialists from stochastics and theory of random processes, number theory, geometry, theory of differential equations etc.

The minisymposium aims at bringing together the leading specialists in the field of roughness and long-range dependence that can be modeled by the tools of fractional and multifractional stochastic processes, fractional calculus and fractional stochastic analysis; fractional equations and fractional dynamics. The topics that will be addressed at the minisymposium include but are not limited to tempered fractional multi-stable and multi-fractional motions, Levy moving averages, fractional point processes with long-range dependence, persistence probabilities for fractional processes, stochastic calculus for Volterra type dynamics, spectral asymptotics of fractional processes and its applications, fractional financial markets.

Organizers

Elena Konstantinova (Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Russia), e_konsta@math.nsc.ru

Ivanov Alexander A. (Imperial College London, UK), .

Description

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,finite 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 an internal satellite event of 8ECM.

**Research area:** Combinatorics - 05E, 05A, 05B, 05C, 20B, 20C, 20E, 20F, 68R, 68W

Organizer

Marco Buratti (Università di Perugia, Italy), buratti@dmi.unipg.it

Description

"Combinatorial Designs" is a rich branch of Combinatorics, essentially assembling all the discrete structures having some special "balance properties". Among them, we have, in particular, classic t-designs, graph decompositions, and objects arising from finite geometries.

The main mathematical motivation of the precursors of this theory, among which we may include even Euler (the thirty-six officers problem), probably was the intrinsic beauty of these balanced structures and their connection with other branches of mathematics as Group Theory, Finite Fields, and Number Theory.

Design Theory finally became a very active subject of research since when it exploded with the study of “statistical experimental designs” by R.C. Bose and R.A. Fisher in the 1930s.

Nowadays it can be doubtlessly stated that it is widely investigated in view of its important applications in many other fields such as communications, cryptography, and networking.

We hope that this minisymposium will facilitate a rich exchange of ideas between design theorists of all ages from all over the world.

Organizer

Stefaan Vaes (KU Leuven, Department of Mathematics, Belgium), stefaan.vaes@kuleuven.be

Co-Organizer

Stuart White (University of Glasgow, School of Mathematics and Statistics, UK), stuart.white@glasgow.ac.uk

Description

Operator algebras form a flourishing field of mathematics with strong ties to functional analysis, harmonic analysis, topology, (non-commutative) geometry, group theory and dynamical systems.

Operator algebras come in two flavors: topological and continuous aspects are captured by C*-algebras, while measurable and ergodic phenomena appear in von Neumann algebras. In both areas, important progress was made in the past years, especially in the classification of simple nuclear C*-algebras and in the structure and classification theory of non-amenable von Neumann algebras, often given by groups and measurable dynamics.

A key feature of these developments is a continuous interaction between the traditionally quite distinct C*-algebra and von Neumann algebra approaches. Boundary actions of groups and other methods from geometric group theory play an increasingly important role in studying von Neumann algebras, while the highly developed theory of injectivity and hyperfiniteness for von Neumann algebras is crucial for the ongoing classification theory for nuclear C*-algebras.

The aim of this mini-symposium is to bring together researchers working in a diverse range of topics in operator algebras, so as to exchange a wide variety of ideas and methods, fostering a cross-pollination between these different fields of mathematics.

Organizer

Victor A. Kovtunenko (University of Graz, Austria), victor.kovtunenko@uni-graz.at

Co-Organizers

Hiromichi Itou (Tokyo University of Science, Department of Mathematics, Japan), h-itou@rs.tus.ac.jp

Alexandr M. Khludnev (Novosibirsk State University, Department of Mathematics and Mechanics, and Lavrentyev Institute of Hydrodynamics SB RAS, Russia), khlud@hydro.nsc.ru

Evgeny M. Rudoy (Novosibirsk State University, Department of Mathematics and Mechanics, and Lavrentyev Institute of Hydrodynamics SB RAS, Russia), rem@hydro.nsc.ru

Description

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.

**Research area:** Calculus of variations and optimal control; optimization - 35-xx, 49-xx, 74-xx

Organizer

Franc Forstnerič (University of Ljubljana, Slovenia), franc.forstneric@fmf.uni-lj.si

Co-Organizer

Bernhard Lamel (University of Vienna ), bernhard.lamel@univie.ac.at

Description

Complex analysis and geometry is a very active field with strong connections to numerous areas of mathematics and wider. It studies complex manifolds and holomorphic mappings between them, behaviour of holomorphic objects on smooth submanifolds in complex spaces, the complex Neumann problem, dichotomy between rigidity and flexibility of complex manifolds, approximation and interpolation problems, dynamics of holomorphic maps, among others. Its origins go back to seminal works of some of the most eminent mathematicians such as for example Riemann, Weierstrass, Poincaré, Cartan, Oka, Grauert, Grothendieck, Hörmander, and Kodaira. Today the subject is the focus of a tremendous amount of worldwide activity and has branched off in new directions such as the use of precise quantitative methods, study of degenerate Cauchy-Riemann structures, Gromov hyperbolicity of natural metrics on complex domains, holomorphic evolution equations in several variables, Oka manifolds, study of exotic complex structures, holomorphic directed systems, connections to the theory of minimal surfaces, etc.

This minisymposium will bring together top international experts and some of the most promising young mathematicians in the field. It is expected that the lectures of invited speakers will address several major recent advances, in particular, the Ohsawa-Takegoshi L^2-theory with precise estimates, solution to the strong openness conjecture for plurisubharmonic functions, advances in Cauchy-Riemann geometry, new constructions in complex dynamics, and recent advances in Oka theory. It is becoming increasingly evident that a deeper level of synergies will be needed for further progress, and we hope that the minisymposium will contribute to this goal.

Organizer

Primož Potočnik (University of Ljubljana, Faculty of Mathematics and Physics), primoz.potocnik@fmf.uni-lj.si

Co-Organizer

Primož Šparl (University of Ljubljana, University of Primorska, Slovenia), primoz.sparl@pef.uni-lj.si

Description

Investigation of symmetry of a discrete structure (such as an abstract polytope or a graph) can be approached either by purely combinatorial means (think, for example, of the classical treatment of the Platonic solids by ancient Greeks), or by considering the automorphism group and the action thereof on different parts of the structure (such as vertices or edges of a graph).

This research area, therefore, lies at the intersection of discrete mathematics (combinatorics) and algebra (mainly group theory) thus drawing to it researchers from both of these mathematical disciplines.

Objects whose automorphism group acts transitively on the parts that constitute them are particularly interesting, both from the combinatorial as well as algebraic point of view. Families of such objects include vertex-transitive, edge-transitive and arc-transitive graphs, regular maps, and regular abstract polytopes. Investigation of these combinatorial objects is an active and quickly growing research area.

The proposed minisymposium will serve as an opportunity to reflect on recent advances and open challenges in this area, as well as to discuss and propose new avenues of research.

Organizer

Deryk Osthus (University of Birmingham, UK), d.osthus@bham.ac.uk

Description

A central theme in Extremal Combinatorics is to study how various parameters influence the existence of certain substructures or patterns. A classical type of questions concerns density conditions which force the existence of a given subgraph. In recent times, the subject has become much broader, and current questions include e.g. degree conditions forcing a triangle decomposition, questions involving rainbow colourings and colourings of locally sparse graphs, as well as Ramsey theory.

Taking an asymptotic perspective has been particularly fruitful. In particular, this enables the use of probabilistic methods, which have had an enormous impact on the area. A recent approach inspired by the asymptotic viewpoints is that of graph limits, which has developed into a rich theory of its own and helped solve a number of classical open problems in Extremal Combinatorics. A related theme has been to consider classical extremal questions from a probabilistic viewpoint, i.e. to obtain probabilistic analogues of classical extremal results e.g. on Hamilton cycles.

The minisymposium will bring together researchers working on the above topics and their interface. The area is developing rapidly and there are rich connections and applications to other related areas such as statistical physics, algebra, probability, design theory, latin squares, discrete geometry and the analysis of algorithms.

Organizer

Amalija Žakelj (University of Primorska, Faculty of Education, Slovenia), amalija.zakelj@pef.upr.si

Description

Considering the current research findings of national and international studies in the field of teaching and learning mathematics, technological advancement, and ICT development, the minisymposium Mathematics in Education will focus on the recent trends and open issues in the area of mathematics teaching methodology from preschool education to university-level instruction.

The main topics of interest cover contemporary approaches to learning and teaching mathematics, including the recent results of the international study on the integration of computational/algorithmic thinking into school mathematics, the role and significance of deductive and inductive approaches in learning and teaching mathematics, approaches to teaching algebra in primary education, discovery-oriented learning, mathematics comprehension strategies, visual and other presentations of mathematical concepts, the importance and role of textbooks in the learning process and other topics.

One of the main aims of the minisymposium is also to bring together leading international researchers in mathematics teaching methodology and other related areas. The discussion will revolve around the challenges and open issues on different aspects of future mathematics education at both pre-university and university level, especially focusing on developing competences which will support and prepare individuals to meet the undefined challenges of the future.

Organizer

Laura Sacerdote (University of Torino, Italy), laura.sacerdote@unito.it

Description

The study of First Passage Times (FPT) dates back to the beginning of last century but many related problems are still open. A set of new versions of the FPT Problem has appeared during the last 20 years and nowadays the research includes Markov processes as well as processes with memory. Beside the “Direct Problem”, questions arise in the class of inverse problems: the search of the boundary corresponding to the first exit of a fixed process having the distribution of the FPTs or the search of the process itself.

Analytical solutions of the direct problem exist only in a limited number of cases and alternative tools are the subject of modern investigations. Beside the introduction of implicit formulae for specific processes, new tools include numerical or exact simulation techniques. Applications to reliability theory, neurosciences, engineering, economy and psychology suggest new questions and often there are not mathematical results ready for answering.

Aim of the mini-symposium is bringing together researchers active on FPT Problems, allowing the interaction between different expertise in direct or inverse problems as well as on different types of stochastic processes and applications. The presence of mathematicians working on the theoretical problem with those approaching the study through simulations or numerical techniques will encourage new collaborations. Furthermore, mathematicians motivated by applications will suggest new mathematical problems.