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BIRS Workshop — Non-Markovianity in Open Quantum Systems
12 Feb 2023 - 17 Feb 2023 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Abstract:
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.
Event listing ID:
1498842
2
BIRS Workshop — Compensated Compactness and Applications to Materials
02 Apr 2023 - 07 Apr 2023 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Abstract:
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.
Event listing ID:
1498966
3
BIRS Workshop — Infinite Dimensional Geometry and Fluids
05 Nov 2023 - 10 Nov 2023 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Abstract:
The Banff International Research Station will host a diverse, international group of mathematicians in 2023 to study geometric approaches to fluids and optimal transport. The ideas of geodesic settings for fluids have been circulating since the late 1960s, but received a strong surge lately, in the last 5-10 years, with the development of new techniques in infinite-dimensional geometry and group theory. The original idea is that the particles in an ideal liquid or gas move in a curved infinite-dimensional space, in the same way as an airplane flying around the earth: along the shortest path. Properties of the fluid, such as how well it can be predicted in the future, how well it mixes together, and how extreme the speed can be, can all be related to how curved this infinite-dimensional space is, which helps us understand features of the weather and climate geometrically. More recently similar ideas have been used to understand solids as well, for example when a pile of rocks are transported from one place to another at the optimal cost.
Event listing ID:
1499261


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Last updated: 27 July 2022