Conferences and Meetings on Mathematical Physics

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.

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. 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.

Geometry and Topology,    Systems theory, Control and Automation

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.

Interfacial phenomena are observed in many fields of sciences, such as chemistry, physics, biology and medicine. Examples include formation and motion of phase boundaries in multi-phase materials, propagation of population waves in ecology, and so on. This workshop focuses, among other things, on interfacial phenomena in complex environments, such as those in spatially and/or temporally heterogeneous media, those in random environments, and those in the presence of obstacles. We also focus on interfacial phenomena in biology and those related to geometry. We aim at developing new mathematical framework to deepen our understanding of those complex interfacial phenomena.

University of Science and Technology of China (USTC)

This conference is the next edition in a long line of conferences starting in 1986 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 (1845-1879) 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.

Algebra,    Applied Mathematics (in general)

BIRS-affiliated mathematics research centre, Casa Matemática Oaxaca (CMO)

This workshop brings together experts in biology, computational biology, machine learning, and statistics to answer some of the large, unsolved problems presented by the explosion of molecular information we are experiencing. They will help to create ideas for extracting, understanding, and testing the information we get from these experiments to benefit the biological and medical sciences.

BIRS-affiliated mathematics research centre, Casa Matemática Oaxaca (CMO)

While the traditional processing industries developed in the early 1900 when our ability to solve such complex multiphase flow equations were limited, the next generation of processing industries that rely not on fossil fuel, but on renewable bio-feedstock, can be built using modular technologies with design tools built on strong foundational mathematical models for multiphase flows. The BIRS workshop will bring together mathematicians, scientists and engineers working on this field to learn from each other the current state of the science of multiphase flows to enable such innovations.

At this Faraday Discussion we aim to bring together researchers working on the development of Density Functional Theory methods to examine today’s challenges and provide a glimpse into the future development of this central theory. The Discussion will be of interest to established scientists as well as post-graduate students and will foster new interactions between chemists, physicists, materials scientists and applied mathematicians

Physical (Theoretical) Chemistry, Computational Chemistry,    Quantum Mechanics and Quantum Information Theory

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

The theories of rational/trigonometric/elliptic functions were developed as functions over plane/cylinder/torus, respectively, before the 20th century. Among them, the theory of elliptic functions is most interesting, and it can be understood as the parent theory of the rest. During the 20th century, the same rational/trigonometric/elliptic trichotomy has been also found in integrable systems, algebras and cohomology groups. Like the theory of functions, recent development reveals that the relationship among integrable system, algebra, geometry, and physics becomes most profound at elliptic level. In particular, Lie algebras (rational) are promoted to affine Lie algebras (trigonometric) and toroidal Lie algebras (elliptic). The workshop aims at investigating quantum versions of toroidal Lie algebras, called quantum toroidal algebras.

Algebra,    General Mathematical Research and Multidisciplinary Events

The Galileo Galilei Institute for Theoretical Physics

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

Anomalies of quantum field theories * Generalized symmetries * Topological aspects of quantum states in condensed matter * (Supersymmetric) dualities in (2+1)-dimensions * Time-reversal symmetry and 4d theta-terms

High Energy Physics, Particles and Fields,    Geometry and Topology

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.

Nordic Institute for Theoretical Physics (Nordita)

Equilibrium statistical physics provides an extremely powerful, universal formalism that tells us how many-particle systems in thermal equilibrium behave, and how we can characterize their properties by only a few macroscopic quantities. However, most systems and processes found in nature are out of equilibrium. Think of any living organism, or directed transport in cells mediated by molecular motors. Often these systems consist of only a few entities and are so small that thermal fluctuations play a prominent role. It has been a vision from the early days of statistical mechanics to develop a theoretical description for such small non-equilibrium systems that is comparably powerful and universal as is equilibrium statistical physics. The aim of this program is to bring together the leading experts in (non-equilibrium) statistical physics to critically discuss and evaluate the latest developments towards a universal theory for non-equilibrium systems.

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

Modular forms have been one of the central topics in number theory for more a century and they continue to experience a wide range of applications throughout mathematics nowadays. Different incarnations of modularity, known as quasi-modular forms, quantum modular forms, Jacobi forms and Siegel modular forms regularly show up in physics topics such as mirror symmetry, topological quantum field theory, Gromov-Witten invariants, conformal field theory, Calabi-Yau manifolds. The principal goal of the proposed conference is to assess the role of various modular forms in recent developments in number theory, geometry and string theory.

Algebra,    Number Theory, Arithmetic

The Galileo Galilei Institute for Theoretical Physics

Anomalies of quantum field theories * Generalized symmetries * Topological aspects of quantum states in condensed matter * (Supersymmetric) dualities in (2+1)-dimensions * Time-reversal symmetry and 4d theta-terms

High Energy Physics, Particles and Fields,    Geometry and Topology

The Galileo Galilei Institute for Theoretical Physics

Anomalies of quantum field theories * Generalized symmetries * (Supersymmetric) dualities in (2+1)-dimensions * Time-reversal symmetry and 4d theta-terms

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

Nonlinear problems are problems which solutions satisfy an equation where the different physical constants involved are depending on the solution itself. This dependence can be nonlocal in the sense that it depends on the solution globally. For instance the motion of a population can be influenced by the total population and not only by the population very locally. One of the goals of the workshop is to deepen the human knowledge in this field applied to different situations.

The meeting is organized jointly by the Department of Physics, University of Bergen and Western Norway University in Bergen.

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

Modeling and Simulation,    Quantum Mechanics and Quantum Information Theory

Kavli Institute for Theoretical Physics (KITP)

Modularity is at the heart of many deep results in mathematics--from the proof of Fermat’s last theorem to moonshine to the Langlands correspondence. 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.

new moonshines and mock modular forms; vertex operator algebras arising in supersymmetric gauge theories; topological invariants of 3- and 4-manifolds; topological QFTs and topological phases in condensed matter physics; topological string theory, Donaldson-Thomas theory, and enumerative geometry; scattering amplitudes in string theory; 2d conformal field theories, the modular bootstrap, and connections to 3d quantum gravity

High Energy Physics, Particles and Fields,    Quantum Mechanics and Quantum Information Theory

Centre International de Rencontres Mathématiques (CIRM)

Algebra,    Group Theory

Kavli Institute for Theoretical Physics (KITP)

A fascinating and surprising phenomenon that can occur in fluid and plasma turbulence is the spontaneous formation of arrays of layers in which material properties such as density adopt a so-called “staircase” structure. 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.g., is there a common thread to layering in these very different contexts?), but is also crucial for an accurate description of turbulent transport in, for example, models of large-scale ocean flow, the evolution of stellar interiors and confinement in tokamaks.

Thermodynamics, Fluid Dynamics and Statistical Physics,    Plasma and Gas-discharge Physics, Nuclear Fusion

CIRM – Centre International de Rencontres Mathématiques

Institute for Mathematical Sciences/National University of Singapore

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. They are linked to mathematical long-standing challenges such as the crystallization and best packing conjectures among others. One aspect that we want to put forward in this meeting is that the pioneering tools from classical statistical mechanics à la Ruelle, Lanford, Lebowitz may not have been used enough for the study of these particle systems yet.

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

The subject of magnetic monopoles is by now classic in both physics and mathematics. Since intense advancements in mid 1970’s, numerous deep connections to theoretical physics, algebraic geometry, and geometric analysis have been discovered. Nonetheless, many important problems remain unsolved. Recently, monopoles acquired new significance in areas such as string theory, the Seiberg--Witten theory, quantum gauge-theory spaces of vacua, knot invariants, and the Geometric Langlands correspondence. This workshop brings together experts from around the world advancing very different perspectives, identify important open problems, and connecting diverse methods used by different groups.

Courses and Events for Math Students and Early Career Researchers,    High Energy Physics, Particles and Fields

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

This five-day workshop will facilitate an intensive exchange of ideas between string theorists, condensed matter physicists, atomic physicists and researchers with other areas of expertise actively working on theory and applications of quantum chaos. The main goals of the workshop is both to introduce researches from different communities to key models and results and to outline unresolved problems actively investigated by these different communities. Such a meeting should allow us to consolidate new ways of quantifying many-body quantum chaos and highlight their implications for important questions of different disciplines.

High Energy Physics, Particles and Fields,    Condensed Matter Physics and Materials

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

Courses and Events for Math Students and Early Career Researchers,    Applied Mathematics (in general)

CIRM – Centre International de Rencontres Mathématiques

Analysis,    Scientific Computing

CIRM – Centre International de Rencontres Mathématiques

Scientific Computing ,    Applied Mathematics (in general)

CIRM – Centre International de Rencontres Mathématiques

The conference will bring together leading experts and research scholars to exchange and share their experience and research results on all aspects of mathematical physics and to promote transference of knowledge at the crossroads of mathematics and physics. There will be plenary sessions (30 to 40min), short talks and posters for student presentations. The scope of the conference will be quite broad, including in particular the following topics: polyanalytic function theory, harmonic analysis, representation theory and quantization, Clifford analysis and applications, coherent states, time-frequency analysis and wavelets, orthogonal polynomials, special functions and q-analogues, Hopf algebras and quantum groups, geometric mechanics and symmetry, exact solvable systems, spectral theory and quantum systems, topological methods. With the goal of encouraging communication and collaborative research between the participants, a feature of ICMMP2021 will be the inclusion of specific time-slots for scientific discussion.

Phone: [(212) (0) 663564850];     Email: mouayn@gmail.com

Harmonic analysis, representation theory and quantization, Clifford algebras, Clifford analysis and applications, Coherent states & wavelets, q-deformation, Hopf algebras and quantum groups, Geometric mechanics and symmetry, Orthogonal Polynomials, special functions and exact solvable systems, Spectral theory and quantum systems, Topological Methods

Geometry and Topology,    Group Theory

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

An essential paradigm in science is solving a problem through the study of its symmetries. Whether dealing with a chemical, physical, or mathematical system, its symmetries are intimately related to the conservation laws characterizing the system itself. Therefore, their study leads us to its full understanding. Quantum groups are deformations of the most elementary symmetries in Nature, describing, for example, infinitesimal layers of ice. They first appeared in the eighties as symmetries of one and two-dimensional statistical mechanical models and are nowadays ubiquitous objects in mathematics. Quantum groups represent only an instance of the more general Theory of Quantization, in which the procedure of "deforming" classical structures gives rise to their "quantum" analog. This theory proved soon to have spectacular connections with many and only apparently unrelated areas of mathematics and physics, especially in representation theory (as described above), algebraic geometry (in particular the theory of moduli spaces), and theoretical physics (e.g. gauge theory). The present workshop aims to provide a survey of the state of the art of the Quantization Theory, with a special emphasis on using advanced techniques from (derived) algebraic geometry to the realm of Quantization.

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

The presence of singularity in mathematics and physics is an omnipresent phenomena which is the subject of an enormous amount of current research. One reason for this is that techniques which are useful and well understood in the context of smooth spaces do not carry over automatically to singular spaces in general. Depending on the type of singularity involved, one might find that a theorem which is true in the smooth setting requires modification even to make sense in a particular singular setting, and a singular object with extra structure may lead to a generalization of a theorem in which that extra structure plays a role.

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

Sponsored by the SIAM Activity Group on Mathematical Aspects of Materials Science

Since 1994, every 2 to 4 years the SIAM Materials Activity Group organizes the SIAM Conference on Mathematical Aspects of Materials Science. This conference focuses on interdisciplinary approaches that bridge mathematical and computational methods to the science and engineering of materials. The conference provides a forum to highlight significant advances as well as critical or promising challenges in mathematics and materials science and engineering. In keeping with tradition, the conference seeks diversity in people, disciplines, methods, theory, and applications.

Condensed Matter Physics and Materials,    Applied Mathematics (in general)

CIRM – Centre International de Rencontres Mathématiques

Modeling and Simulation,    Scientific Computing

CIRM – Centre International de Rencontres Mathématiques

Modeling and Simulation,    Mechanics, Rheology and Tribology

The aim of the meeting is to present the state of the art in some challenging open problems in Quantum Mechanics from the point of view of Mathematical Physics. It is addressed to young people interested in working on the subject but also to experienced researchers willing to exchange the newest ideas and methods in the field. Among the topics covered: spectral and scattering theory for Schrödinger operators, effective behavior in many particles quantum systems, Bose-Einstein condensation, nonlinear Schrödinger equation, semiclassical analysis, numerical analysis of quantum systems, quantum graphs. Three courses of 6 hours will be given in a series of lectures scheduled in the morning of each day. In the afternoon short contributed talks will be given by young participants, followed by plenary talks given by invited speakers.

Quantum Mechanics and Quantum Information Theory,    Courses and Events for Physics Students

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

This workshop will study this question for systems of geometric origin. One example of this is a particle bouncing inside a region -- think of a ball bouncing around a billiard table, or a light beam bouncing around a room whose walls are mirrors. If the walls are flat then the behavior is fairly predictable, but if they are curved then one often observes random-looking behavior in the long run. Or imagine walking in a straight line along a surface; if the surface is flat then changing the starting point a little will lead to a predictable change in the trajectory. However, if the surface is curved like a saddle then different trajectories will spread out and your location after walking for a long time will eventually seem to be random. The task of giving precise descriptions of systems such as these requires a more complete development of the theory of thermodynamic formalism for systems of geometric origin, which is precisely the goal of this workshop.

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

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

The workshop brings together top experts in the field, and creates an environment where all the latest ideas, intuition and techniques can be shared and refined. Another important goal of the proposed workshop is to introduce junior researchers to a highly active area of research in PDEs of fluid dynamics. We will give preferences to young researchers when inviting speakers to the workshop.

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)

Courses and Events for Math Students and Early Career Researchers,    Astronomy, Astrophysics and Cosmology

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

Subfactors and vertex operator algebras are mathematical structures that at first glance appear very different, but both are used in the mathematical study of quantum field theory. In particular, vertex operator algebras are algebraic structures arising in two-dimensional conformal field theory (CFT), a quantum field theory with applications ranging from string theory to condensed matter physics to quantum computing. On the other hand, subfactors are closely related to conformal nets, which are a functional-analytic approach to CFT. Because they are both mathematical descriptions the same quantum field theory, the theories of vertex operator algebras and conformal nets are widely believed to be equivalent, but only in the last few years has there been substantial progress in establishing an equivalence. As many important results in conformal field theory have been established for either vertex operator algebras or conformal nets, but not necessarily both, developing connections and equivalences will be useful for answering open questions in both mathematical formulations of CFT.

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

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

Courses and Events for Math Students and Early Career Researchers,    Quantum Mechanics and Quantum Information Theory

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

In this workshop, experts in the physics and mathematics of string theory shall gather together to discuss the current progress on the study of the physical consequences (for particle physics and cosmology) of string models, and to explore new exciting formal (and informal) proposals that may constitute important tools to gain a better understanding of string theory and its possible predictions. Besides traditional overview talks and seminars on the ongoing research in this field, the workshop will provide an adequate environment for fruitful discussion and collaboration.

Courses and Events for Math Students and Early Career Researchers,    Conventional and Renewable Energy Production

CIRM – Centre International de Rencontres Mathématiques

Calculus, Differential Equations and Integration,    Quantum Mechanics and Quantum Information Theory