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Banach Center

The meeting is planned as a follow up of the BIOMATH 2019 and DSALSS 2022 conferences held in BC in Będlewo, and will include both a workshop and a school for young scientists. It is envisaged to address methods of dynamical systems in modeling and analysis of various phenomena in Biology, Medicine and Social Sciences. A particular emphasis will be placed on non-local effects both in time and space, singular perturbation methods, stochastic differential equations, generalized kinetic equations and reaction-diffusion equations. The discussed applications will cover, among others, infectious disease initiation, progress and optimal control, tumor – immune system interactions, autoimmune diseases, as well as network dynamics, traffic problems and opinion formation. The aim of the meeting is to continue, through the presentations and scientific interactions, the collaborations between researchers building on the success of BIOMATH 2019 and DSALSS 2022. A particular emphasis will be placed on interactions between junior researchers as well as between junior researchers and the established leaders in the field.

Banach Center

Thermodynamic formalism provides a mathematical framework for studying qualitative and quantitative aspects of dynamical systems. Founders of this theory include Sinai, Bowen, and Ruelle, but principle ideas have their origin in the development by Gibbs to describe interacting particle physical systems in the realm of statistical mechanics. Key concepts include Bernoulli and Gibbs distributions, equilibrium states, variational and, in particular, maximum entropy principles. Its contemporary mathematical aspects are intimately related with ergodic theory and have applications in fractal geometry, the description of large deviations, multifractal analysis, analysis of axiom A-systems, rigidity problems, ergodic optimization and control problems, among many others. There are also relations to geometry and group theory.

Banach Center

Analyse,    Calcul infinitésimal, équations différentielles et intégrales

AGH University of Science and Technology

The objective of the Conference is to provide a forum for academics, researchers and engineers to discuss and disseminate recent developments, innovations and advances in numerical methods in material forming and shaping through plastic deformation.

Conference themes include the broad areas of:

- Material behaviour and modelling and its numerical implementation,

- Process modelling (forming, joining, machining, casting, welding/joining, additive manufacturing, etc., of metals, polymers and composites) and its numerical implementation,

- Conventional and novel methods of forming and joining metals, and

- Polymer and composite processing.

Event Secretariat;     Email.: numiform2023@agh.edu.pl

forming, simulation, process modelling, materials, polymers, composites, numerical methods, deformation

The workshop is coorganized by: Łódź University of Technology, The South African Research Chairs Initiative in Mathematical Models and Methods in Bioengineering and Biosciences, University of Pretoria, University of Rzeszów, University of Wrocław

The workshop will focus on the theory of differential equations and their applications to natural, health and social sciences, as well as engineering. We aim to bring together participants of the internet seminar organized since 2020 by the Institute of Mathematics of the Łódź University of Technology, as well as other interested researchers, for the first face-to-face meeting since the Covid-19 pandemic. We plan to provide a platform to continue the discussions, address questions and problems that arose online, communicate the latest results in the theory of differential equations, and exchange ideas between different research centres. We hope to finalize research projects initiated at the seminars and establish long-lasting collaborations to work on new projects. We envisage significant participation of postgraduate students and emerging researchers who will benefit from plenary and invited lectures of leading scientists in the field and will be able to present their research in the form of contributed talks and poster presentations

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics) and Institute of Mathematics of the Polish Academy of Sciences

Many physical, chemical, biomedical, and techni- cal processes can be described by means of partial differential equations or dynamical systems. In recent years, multi-physics and multi-scale prob- lems have become a particular focus of applied mathematical research. A numerical treatment of such problems is usually very time consuming and thus requires the development of efficient discret- ization schemes that are often realized on large parallel computing environments. In addition, these problems often need to be solved repeatedly for many varying parameters, introducing a curse of dimensionality when the solution is also viewed as a function of these parameters. Examples for such situations include design, control, optimiza- tion, inverse problems, uncertainty analysis and statistical sampling.

The seminar takes place at the Mathematical Re- search and Conference Center of the Institute of Mathematics of the Polish Academy of Sciences in Będlewo.

Analyse,    Calcul infinitésimal, équations différentielles et intégrales

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics) and Institute of Mathematics of the Polish Academy of Sciences

Optimal transport theory is a very successful field of mathematics connecting calculus of variations, probability theory, differential geometry, partial differential equations, functional analysis, statis- tics and computer sciences. Going back to Monge around 1780, this theory has deep connections with the earlier work of Euler on Hydrodynamics around 1750. This connection has recently known a strong revival on many different sides, leading to various non trivial generalizations of the con- cept of optimal transport.

The seminar takes place at the Mathematical Re- search and Conference Center of the Institute of Mathematics of the Polish Academy of Sciences in Będlewo.

Analyse,    Calcul infinitésimal, équations différentielles et intégrales

Banach Center