Conferences and Meetings on Complex Systems, Chaos and Self-Organisation

Institute for Pure and Applied Mathematics (IPAM), UCLA

Transport and mixing are among the most important properties of fluid flows. Indeed, movement of mechanical and thermal energy and material underlies the most basic dynamical phenomena in astrophysics, geophysics and the environment, as well as in biology and myriad industrial and engineering applications. Understanding the fundamental mechanisms and ways to control, bound, limit or enhance transport and mixing are central to many active research fields. The primary objective of this workshop is to bring together mathematicians working on theoretical aspects of fluid mechanics, transport, mixing, and computational aspects of fluid dynamics and data science, with applied scientists working on quantitative modeling and experimental aspects of mixing and transport phenomena. Recent theoretical developments combined with the explosion of data available from observations, experiments and simulations make this an especially appropriate time to bring these disparate communities together to cross-pollinate insights and encourage knowledge transfer and creation.

Thermodynamics, Fluid Dynamics and Statistical Physics,    Computational Physics and Numerical Simulation

University of Bejaia

The conference aims to regroup african researchers working in the field of dynamical systems in a borad sense. Due to the Covid-19 pandemic the conference will be held online.

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, is devoted to the phenomena of criticality and stochasticity which co-occur in many interesting nonlinear partial differential equations (PDEs). It is designed to help strengthen and expand the deep connections between these phenomena by gathering researchers with different backgrounds in these areas, encouraging discussions of recent developments as well as open problems, and fostering collaborations during and after the workshop. In particular, the workshop will focus on a certain PDEs for which these phenomena play a major role; namely, the 3D Euler and Navier-Stokes (NS) equations of incompressible fluids, the 2D surface quasi-geostrophic (SQG) equation of geophysical flows, and the 3D Hall-magnetohydrodynamic (Hall-MHD) system.

Applied Mathematics (in general),    Thermodynamics, Fluid Dynamics and Statistical Physics

The conference “Analytic Number Theory, Quantum Chaos and their Interfaces” aims at gathering distinguished researchers working in either of the disciplines to discuss recent research advances in these fields, and serve as a playground for the exchange of ideas between these, rather diverse, research communities. Another purpose of our conference is to provide a solid educational platform for more junior researchers (PhD students, postdoctoral researchers and early career permanent faculty) who aspire to conduct research in the relevant fields and expose them to some of the outstanding results and open problems as well as to meet other researchers with similar academic interests, with high potential to start new research collaborations. Being a home to Professor Zeev Rudnick, who has contributed greatly to unifying the main subjects of the conference and established some relevant fundamental results in these fields, Tel Aviv University is a natural place for such a meeting to take place.

Number Theory, Arithmetic,    Mathematical Physics

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

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 evelopments, 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.

Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

Mathematical billiards are a fast growing field of the modern theory of dynamical systems and a deep source of insights, methods and examples in dynamics. It has greatly impacted many areas, ranging from integrable Hamiltonian systems and KAM theory, hyperbolic (chaotic) systems, to Teichm\"uller dynamics. It has also stimulated much recent applied research in such areas of mathematical physics as equilibrium and non-equilibrium statistical mechanics and quantum theory. The proposed workshop will bring together leading mathematicians, mathematical physicists, and younger researchers whose work is connected to the theory and applications of billiard dynamics from a variety of perspectives. Topics will include new modalities of billiard systems, with special attention given to applications to statistical physics such as, for example, the study of classical and quantum transport phenomena.

Courses and Events for Math Students and Early Career Researchers,    Thermodynamics, Fluid Dynamics and Statistical Physics

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

MRSI – Mathematical Sciences Research Institute, Berkeley

Holomorphic dynamics is a vibrant field of mathematics that has seen profound progress over the past 40 years. It has numerous interconnections to other fields of mathematics and beyond. Our semester will focus on three selected classes of dynamical systems: rational maps (postcritically finite and beyond); transcendental maps; and maps in several complex variables. We will put particular emphasis on the interactions between each these, and on connections with adjacent areas of mathematics.

General Mathematical Research and Multidisciplinary Events,    Courses and Events for Math Students and Early Career Researchers