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

The workshop "Compensated Compactness and Applications to Materials" will bring together experts from the theory of compensated compactness with researchers in material science. Classical compensated compactness is a theory that allows to study the limit of solutions of some partial differential equations with strongly oscillating coefficients. A particular focus is on the very recent developments in the compensated compactness theory involving concentration effects and formation of singularities. These developments have enabled many new results, for instance in the theories of microstructure, shape optimization, dislocation theory, fracture, and plasticity, and they also hold much promise for future applications. To facilitate further breakthroughs, this workshop aims to balance theoretical and more applied talks to give the participants the opportunity to exchange the latest ideas, learn new methods, and start new collaborations.

Calculus, Differential Equations and Integration,    Condensed Matter Physics and Materials

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

Present day biology generates a wealth of data from which tumor biology and tumor evolution can be inferred, and therapeutic strategies can be developed. Most clinical (and research) samples are comprised of a mixture of different cells, including multiple different populations of cancer cells (‘subclones’) and a variety of normal cell types. Effective use of these data thus requires data from individual cell types to be deconvolved. A number of subfields are independently developing mathematical and statistical deconvolution techniques. While at first glance these subfields are largely disparate, there are clear opportunities for synergies to be developed. This workshop will fill this gap by bringing together researchers from several of these fragmented subfields across a wide range of backgrounds (computational biology, mathematics, statistics, computer science, biomedicine, etc.) to provide a synergistic forum for cross-disciplinary learning, discussion and collaboration.

Banff International Research Station (BIRS) / UBCO

Recent remarkable advances in learning-based methods are revolutionizing the field of image analysis resulting in a paradigm shift towards data-driven approaches. These methods have already shown tremendous success in a wide range of applications from computer vision such as object detection and object category classifications. To perform efficiently, such methods typically require a large number of training sample and this requirement is highly impractical or impossible in applications from medical imaging where it is very laborious and expensive to generate labeled data. Another drawback of learning-based method is that they do not come with provable performance guarantees. One remedy to such limitations is to combine data-driven methods with prior knowledge through mathematical and/or physical models in such a way to optimize processing, reconstruction and analysis of medical imaging data without the need of extensive training. This workshop will bring together researchers with a different background ranging from optimization, inverse problem, numerical and harmonic analysis and machine learning to advance state-of-the-art methods combining data- and model-driven approaches for medical imaging. To create a more engaging and productive environment, participants are selected from a diverse pool of researchers from multiple institutions, geographic regions, ethnic background and at different career levels.

Centre de recherches mathématiques (CRM)

A two-week summer school in the summer 2023 that addresses the description/characterization/analysis and modeling of complex and/or scale-free temporal/spatial dynamics in functions, processes, images and fields..., under the light of several scientific fields, ranging from theoretical and methodological developments to real-world applications. The program will start from harmonic and fractal analysis as developed by mathematicians and will progressively introduce a variety of real-world applications (very different in nature, yet with a focus on neurosciences and neurophysiology towards the end of the workshop) via statistical signal and image processing and computer sciences.

The Fields Institute

This workshop will showcase advances related to the Fields thematic program on geometric constraint systems, framework rigidity and distance geometry. Particular topics of interest include the geometric and combinatorial rigidity and global rigidity of structures, distance geometry and semidefinite programming and applications, for example in soft matter physics and in protein conformation determination.

Banff International Research Station (BIRS) / UBCO

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.

Banff International Research Station (BIRS) / UBCO

Minimal surfaces have inspired scientists and mathematicians for centuries and remain a central area of study with a vast number of pure and applied research outputs relating directly to their study. From art and architecture, to fluid dynamics and general relativity, they have an impressive list of applications. The main reason that they remain so popular amongst mathematicians is the fact that they are mysterious, beautiful, and lead to the resolution of challenging and abstract problems, not necessarily in obviously related fields. They can be created in the home by dunking a metal hoop into soapy water - the resulting soap film is a minimal surface (no matter how you bend the hoop). Equally they are integral to, for example, certain proofs of the positive mass theorem from general relativity. A surface is minimal if it is locally stretched tight, so that if you were to focus on a small region of the surface, any perturbation of that small region will increase surface area. In abstract terms, minimal surfaces are critical "points'' of the energy - in this case the energy of a surface is given by its area.

A large quantity of physical phenomena admit such a description - they are critical with respect to some energy, or in other words ``nature always tries to optimise energy''. For example the shape of cell membranes, event horizons of black holes and the behaviour of fundamental particles all fit within this regime. This workshop brings together young and experienced researchers in the mathematical/theoretical study of these problems. It mainly utilises the theory of differential geometry and partial differential equations, or broadly Geometric Analysis. This field has enjoyed popular notoriety in recent years with one of the modern progenitors of the subject, Karen Uhlenbeck, being awarded the Abel Prize. Similarly Perelman's proof of the Poincare conjecture, a question that took 100 years (and many contributors) to answer fully, for which Perelman famously turned down the $1,000,000 award.

The Fields Institute

This workshop will showcase advances related to the Fields thematic program on geometric constraint systems, framework rigidity and distance geometry. Particular topics of interest include matrix and tensor product completions, kinematics and flexibility, polynomial constraint systems, structured polynomials including sums of squares, matrix factorizations, Euclidean distance minimization and maximum likelihood estimation.

Mathematics and Computation Division of the American Nuclear Society

The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2023) is a part of a series of topical meetings organised by the Mathematics and Computation Division of the American Nuclear Society. The M&C conferences, held every two years, represent a series of international forums organised and sponsored to bring together worldwide expertise related to nuclear science or technology including mathematical and computational methods, numerical analysis, computer codes, computer architectures, and benchmarks for computationally solving problems in all disciplines encompassed by the Society.

Nuclear Energy,    Computational Physics and Numerical Simulation

AMMCS-2023 is a major international forum and interdisciplinary conference focused on mathematical and computational sciences, with their applications to modeling natural, social, and engineering systems.

The conference provides a unique opportunity for in-depth technical discussions and exchange of ideas in all areas involving mathematical and computational sciences, modeling and simulation, as well as their applications in natural and social sciences, engineering and technology, industry and finance. It offers to researchers, industrialists, engineers and students to present their latest research, to interact with the experts in the field, and to foster interdisciplinary collaborations required to meet the challenges of modern science, technology, and society.

Registration and paper submission: https://conference-service.com/ammcs2023/

Centre de recherches mathématiques (CRM) and the Institute for Data Valorization (IVADO)

The Centre de recherches mathématiques (CRM) and the Institute for Data Valorization (IVADO) are pleased to announce that they will hold an in-person workshop in Montreal on August 21-25, 2023. The participants (company representatives, professors, and students) will gather in teams, each of which addressing a problem submitted by a company. The workshop will allow academic researchers to study real-world problems and companies to benefit from expertise in the mathematical sciences (including data science, optimization, financial mathematics, natural language processing, and so on). This kind of workshop is an incubator of collaborations between universities and companies and the workshop organizers expect that these collaborations will continue after the workshop. Industrial problem solving workshops (called "study groups" in other parts of the world) were first designed by British researchers more than 50 years ago before spreading to many countries, for instance Canada, France, other European countries, and Asia and Australasia.

Centre de recherches mathématiques (CRM)

While brain function originates in neuron, its energy is supported by the vascular system. With the recent development of anatomically detailed synthetic network models of the entire cerebral circulation, it is now possible to perform detailed simulations of physiology in realistic brains of small animals and humans on the computer. Modeling microcirculatory blood flow as a biphasic suspension of red-blood-cell and plasma, blood pressure, flow and hematocrit can be simulated in whole brains on the computer. Combining Poiseuille’s hemodynamic simulations with advection/diffusion equations describing oxygen diffusion, the human brain metabolism can now be modeled in-silico, by integrating tissue oxygen consumption and differential equations describing compartments associated with neural and glial brain cells. In parallel, energy metabolism regulation in the brain and its modeling has greatly progressed over the past few decades. This workshop will thus be focused on digital human brains, and their use to predict critical metabolic functions namely blood flow, oxygen extraction and cellular metabolism across all length scales down to the level of individual capillaries and cells. Courses and conferences will be combined with research presentations and practical workshops.

Modeling and Simulation,    Systems Biology and Computational Biology