Conferences  >  Physics  >  Complex Systems, Chaos and Self-Organisation

Galileo Galilei Institute

Critical phase transitions are ubiquitous in nature, as they describe both classical statistical systems such as the water/vapor transition, as well as quantum systems such as superfluid transitions. These phase transitions are difficult to study, because the quantum field theories that describe them are generically strongly coupled, and traditional methods like Feynman diagrams do not suffice. Recently, new non-perturbative tools such as the conformal bootstrap and duality have been used to study strongly coupled phase transitions, which complements non-perturbative methods such as lattice Monte Carlo. This workshop will bring together scientists from the neighboring communities of condensed matter and high energy theory to identify new continuous phase transitions that appear in nature, especially those with emergent gauge fields, and develop strategies to solve these systems and guide ongoing experiments.

Critical phase transitions * Numerical conformal bootstrap * Lattice methods * Dualities * Gauge theories in 2+1 dimensions

Instituto Gulbenkian Ciência (IGC)

It is now clear that complex human diseases can only be tackled by transdisciplinary efforts that integrate fundamental, computational, and clinical research. This is not, however, an easily achievable feat, as fundamental laboratory discoveries are often not directly transferable into clinical settings, with controlled experiments not necessarily reflecting organismic and societal complexity. Only with synergy between fundamental researchers, clinicians, and data scientists can we hope to gain the depth of understanding required to address the physiological mechanisms behind some of the most challenging human diseases at the interface between hosts and pathogens. The goal of the [3C] Cells, Computers & Clinics Symposium is to do exactly that, to bridge fundamental, computational, and clinical research in the scope of complex diseases, particularly those related to host-pathogen interactions.

Clinical Data Management, e-Health,    Human Physiology and Metabolism

The Research Institute for Mathematical Sciences (RIMS)

The Research Institute for Mathematical Sciences (RIMS)

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

The workshop deals with the behaviour of quantum objects (atoms, molecules...) which are subjected to external noises (light, vibrations...). The objects are very `tiny'; they react drastically to the slightest contact with their surroundings. Understanding and modelling the dynamical processes is the central task of the theory of open quantum systems. Examples of open systems are molecules in plants exposed to sunlight (→ photosynthesis), or basic building blocks (quantum bits) in a quantum computer, mounted on a substrate. We focus on the role of memory in the open system dynamics, a situation occurring in many physically/chemically/biologically relevant situations. Information between the objects and the surroundings is passed back and forth (and not forgotten) during the interaction. This leads to challenging mathematical models and analytical problems, as well as to potentially very useful practical applications.

Condensed Matter Physics and Materials,    Quantum Mechanics and Quantum Information Theory

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.

Modeling and Simulation,    Scientific Computing and Data Science

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.

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.

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.