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1
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:
1498831
2
BIRS Workshop — Joint Spectra and related Topics in Complex Dynamics and Representation Theory
21 May 2023 - 26 May 2023 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Abstract:
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.
Event listing ID:
1499089
Related subject(s):
3
BIRS Workshop — New Trends in Fluids and Collective Dynamics
23 Jul 2023 - 28 Jul 2023 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Abstract:
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.
Event listing ID:
1499090
4
BIRS Workshop — Fluid Equations, A Paradigm for Complexity: Regularity vs Blow-up, Deterministic vs Stochastic
01 Oct 2023 - 06 Oct 2023 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Abstract:
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.
Event listing ID:
1499277


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Last updated: 27 July 2022