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In particular, it is interesting to investigate, given a particular set of microscopic elementary units, what range of possible macroscopic patterns, structures, dynamics and functionalities can be realized. The conference will bring together experimental and theoretical researchers from a broad range of disciplines to discuss recent advances that have transformed active matter into a rapidly growing field that spans diverse disciplines, ranging from physics to biology, to materials science and engineering.

Complex Systems, Chaos and Self-Organisation.

This conference will synthesize recent observational discoveries of massive star clusters in nearby galaxies and the high-redshift universe. It will connect the observations to theoretical modeling of galaxy formation on large scales and star formation on small scales.

Thermodynamic Limit in Statistical Physics - INSPIRE-HEP

The topics for discussion will include the efficiency of star cluster formation as a function of environment, and the origins of the cluster age and metallicity distributions. The meeting will aim to highlight the similarities and differences in star formation in low-redshift and high-redshift galaxies. Astronomy, Astrophysics and Cosmology. Chromosomes: Organization, Function and Dynamics. Continuing rapid development in the field of chromatin biology has lately attracted enormous interest among biologists, physicists and mathematicians.

Recently, the static structure of the folded genome inside the cell nucleus has been determined with increasingly high resolution. Studies of the roles of these features in gene regulation and other biological processes are currently ongoing. In addition, research on chromatin dynamics has shown that the genome moves in space and time, thus these structural features might be dynamic, too. Currently, it is not clear how to reconcile the static picture with the dynamic nature of the genome. Following the recent surge in activity on both the biology and physics fronts, this conference aims to provide a platform that would facilitate an interdisciplinary exchange, cultivate new ideas and identify new frontiers.

The application of topology to physics has become an integral part of a second quantum revolution in the sciences. The discovery of topological insulators and progress towards topological superconductors realizing non-abelian statistics has moved topological phases of matter onto the center stage in the interaction of topology and physics beyond the quantum Hall effect. While topological physics has been intensively investigated by physicists for the last few decades, the mathematical theory lags far behind.

Statistical mechanics

One challenge is formulating the right definition of topological phases of matter, which is closely related to the notoriously difficult problem of finding a rigorous mathematical formulation of quantum field theory. In this summer school, we will focus on two relatively mature foundational topics, and two new directions in the mathematics of topological phases of matter. This conference will highlight the diverse applications of emerging spatio-temporal quantum control techniques as well as the novel theoretical and experimental tools being developed to advance these techniques.

The implications of many-body quantum control are far-reaching: stabilizing entangled states, realizing new forms of topological order, enhanced precision measurements, guided quantum dynamics for computation, probing quantum chaos, etc. The goal of this conference will be to survey both recent experimental developments in both spatial and temporal control for analysis of many-body quantum optical systems, and recent theoretical progress, with the purpose of identifying fruitful future areas for exploration. Geometry, Mechanics, and Dynamics.

Conference in Honor of the 70th Birthday of Tudor Ratiu. This conference contains contributions that give an overview of the current research in geometric mechanics. This scientific subject is simultaneously close to mathematics, physics, and engineering and its general philosophy consists in taking advantage of fruitful interactions between geometry on the one hand and dynamics and mechanics on the other.

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This conference will be the occasion to celebrate the 70th birthday of Tudor Ratiu who over the years has made many fundamental contributions in the development of this field. Theoretical aspects of applied mathematical research on nonlinear waves and coherent structures are relevant to subjects as diverse as general relativity, high-energy particle and plasma physics, fluid and solid mechanics, nonlinear electrical circuits, Bose-Einstein condensation, nonlinear optics, random media, atmosphere and ocean dynamics, chemical reactions, and biology.

Remarkable agreement between theory and experiments can be claimed in many of these fields. The goals of the conference are to provide a forum for the development of mathematical methods and tools, to foster cross-fertilization among different fields of application, and most crucially to enable communication between the mathematicians who build the theory and the scientists who use it.

The conference program will consist of presentations on subjects ranging from basic mathematical research to concrete applications. This conference is the next edition in a long line of conferences starting in at the University of Canterbury, UK. This series of international conferences aims at bringing together leading scientists and young researchers in the field of Clifford algebras and their various applications in mathematics, physics, engineering and other applied sciences.

The English mathematician and philosopher William Kingdon Clifford is best remembered for his geometric algebras, nowadays better known in mathematics as Clifford algebras, named so in his honour, but he also contributed significantly to other branches of mathematics, especially geometry. Topological Matter and Duality. Topological properties of gauge theories find application in the characterization of novel phases of matter and in establishing nonperturbative phenomena such as the duality relations between quantum field theories in three and four spacetime dimensions.

This conference is meant to expose the current status of research in several domains dealing with topology and duality.

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Advances and Challenges in Computational Relativity. This kick-off workshop will seek to provide an overview of both the state-of-the-art and open challenges drawing from multiple themes theory, analysis of the equations, computation, and data analysis within the broad context of Einstein's general relativity theory. Focus Week — Topological Phases of Matter.

Statistical Mechanics and Mathematical Problems

The Physics of Modularity. At the same time, modular group representations and automorphic forms underlie many interesting physical phenomena in quantum field theory and string theory, including understanding of dualities, boundary conditions, and supersymmetric black holes, among other things. This conference will bring together physicists and mathematicians to discuss emerging connections between a web of fundamental objects in physics and mathematics, united in the crucial role played by modularity. The most striking examples are potential vorticity staircases in planetary atmospheres, and thermohaline staircases in the oceans.


Theoretical considerations suggest that layering also plays an important role in stellar interiors particularly through various double-diffusive processes and in fusion confinement devices the so-called E x B staircase. Understanding the phenomenon of layering is, therefore, not only of intrinsic scientific interest e. This is a two-week program gathering mathematicians and physicists interested in the statistical physics of strongly correlated and long range random particle systems.

These particle systems include Gibbs point processes such as Coulomb gases, determinantal point process, eigenvalues of random matrices, etc. Applications include the ideal gases, magnets, fluids, one-dimensional Ising and Potts lattice spin models, random walks and percolation as well as approximate methods of solution. In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path.

These include:. Undergraduate subjects Graduate subjects Research subjects. The goal of statistical mechanics is to describe the behaviour of bulk matter starting from a physical description of the interactions between its microscopic constituents. This subject introduces the Gibbs probability distributions of classical statistical mechanics, the relations to thermodynamics and the modern theory of phase transitions and critical phenomena.

The central concepts of critical exponents, universality and scaling are emphasized throughout. Applications include the ideal gases, magnets, fluids, one-dimensional Ising and Potts lattice spin models, random walks and percolation as well as approximate methods of solution.

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