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Banach Center

Banach Center

Applied Mathematics (in general),    Analysis

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

Analysis,    Courses and Events for Math Students and Early Career Researchers

Banach Center

Banach Center

The conference concerns the broadly understood mathematical analysis, in particular, the so-called geometric analysis (including calculus of variation and partial differential equations of geometric origin, Sobolev spaces theory on manifolds and on metric spaces, and knot theory issues related to curvature energies).

Analysis,    Geometry and Topology

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.

Applied Mathematics (in general),    Analysis

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.

Applied Mathematics (in general),    Analysis