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Banach Center

CIRM – Centre International de Rencontres Mathématiques

The workshop will bring together both experienced researchers and promising young scientists from different scientific backgrounds, interested in the interplay between theoretical and applied research. It will promote the participation of male and female researchers with a good gender balance among speakers. The conference will place an emphasis on the connections between the areas and on directions for future research. We expect a high-level and high-impact event which will inspire new collaborations and will open new research directions.

Simulation,    Wissenschaftliches Rechnen und Datenwissenschaft

This is the meeting of the SIAM Activity Group on Dynamical Systems.

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.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Mathematics has a wide range of different disciplines, from algebra to geometry and from analysis to topology, etc. Some discoveries, however, are able to link several disciplines together and open a field of interplay. Two of such recent discoveries are self-similar group representations and projective spectrum of linear operators. The goal of this workshop is bring together scholars in spectral theory, representation theory, complex dynamics and other related fields to exchange and examine some recent discoveries on self-similarity and projective spectrum.

Max Planck Institute for the Physics of Complex Systems

Wissenschaftliches Rechnen und Datenwissenschaft,    Informations & Wissensmanagement, Big Data Computing

CIRM – Centre International de Rencontres Mathématiques

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Mathematics of collective behavior and the subject of fluid dynamics undergo a rapid merger where most fascinating breakthroughs have been discovered in recent years. These breakthroughs are based on our novel understanding of collective phenomena from the viewpoint of the laws of fluid motion. Pattern formations in animal swarms or clustering in social networks or even technological applications to decentralized control of unmanned vehicles are just a few examples that can be studied with the new techniques. This workshop will bring together a diversified group of researches from both fields to share the knowledge and promote collaboration in this emerging and fascinating area.

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

A common intuition in dynamical systems is that systems with low complexity should have some sort of structure, while systems with high complexity should exhibit more randomness. We explore this notion in various settings, particularly focussing on recent developments in ergodic theory and symbolic dynamics that are related to combinatorial, number theoretic, and algebraic problems. Fine properties of sequences of numbers can be studied via dynamics, relating the complexity of the sequence to hidden structures it contains. The proposed meeting will cover such recent developments, bringing together mathematicians from a variety of fields, including ergodic theory, symbolic dynamics, number theory, and group theory to discuss on long-standing open problems that have implications for these fields.

Max Planck Institute for the Physics of Complex Systems

Oceanic rogue waves are large and unexpected surface water waves that are extremely dangerous, even to large ships such as ocean liners or submarines as well as to marine structures. They exist everywhere: on the surface of deep and shallow waters and even in the deep internal layers of the ocean. Similar waves on a much smaller scale in optical fibres are in many ways analogous to their larger counterparts of the oceanic scale. Extreme waves are presently an interdisciplinary research subject covering BEC, plasma waves and even quantum optics. Knowledge accumulated so far in this active research area may add new ideas on how extreme events of more general nature occur. The most recent findings and major concepts of extreme waves, which include rogue waves as well as exploding dissipative solitons, will be elaborated and discussed in this workshop.

Extreme waves in the ocean, Optical rogue waves, Interdisciplinary approach to extreme waves, Mathematical description of extreme waves, Rogue wave prediction, Extreme waves in turbulent fields, Extreme waves in water tanks, Statistics of rogue waves, Extreme waves in shallow water, Exploding dissipative solitons

Max Planck Institute for the Physics of Complex Systems (mpi-pks)

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Fluids are ubiquitous in the nature, but equations of fluid mechanics are among the most difficult PDEs to analyze. The question of global regularity v.s. finite time blow-up remains open for many fundamental fluid equations, and there are also many other interesting open questions on other aspects of properties. Recently, the study of fluid equations has witnessed multiple breakthrough results, such as non-existence of type-one singularity, rigorous proofs for small scale formation and finite-time blow-up for various equations, non-uniqueness of weak solutions to the Euler and Navier-Stokes equation via convex integration, as well as the non-uniqueness of the law of the 3D stochastic Navier-Stokes equations. With these exciting developments in the last decade, this workshop is a timely event to capitalize on this momentum. In this workshop, we aim to bring together leading experts and junior researchers covering complementary areas in fluid equations to share new ideas, discuss emerging problems, and identify promising research directions for the future. When inviting participants to the workshop, preferences will be given to junior researchers and researchers from underrepresented groups.

Max Planck Institute for the Physics of Complex Systems

Centre de recherches mathématiques (CRM)

While network models have been studied as independent systems, efforts in neuroscience in recent years has been put towards inferring networks of the brain from imaging data. Using probabilistic methods and inverse models, recurrent networks across populations and their change with disease have been characterized based on input from electrophysiological and functional imaging.

This sub-theme will cover the notions of network dynamics, discuss conceptual frameworks to model brain network topology and provide the latest progress in neural network inference from imaging data and associated methodological approaches at modeling networks of the brain.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Statistik, Spieltheorie ,    Simulation

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Optimierungsrechnung, Entscheidungsunterstützung