Projet QUANTUM DYNAMICS (Horizon 2020, appel à projets 2015)
Action : Staff Exchanges
Panel : Mathematics
Statut du projet : CLOSED

The Project aims to make significant advances to the field of noncommutative geometry by developing new methods through substantial interaction within sub-fields of noncommutative geometry and two other areas of pure mathematics. The main focus will be to determine the topological non-triviality of new types of quantum fibrations. Also, we aim to construct quantum metric geometries of crossed products and graph algebras relating the Lipschitz-norm and Dirac-operator approaches. The Project will combine various areas, which although interacting on the fundamental level, have had their concrete and usable connections mostly unexplored. The success of the Project depends on connecting centres of excellence in relevant topics for the exchange of ideas and and production of high-quality collaborative results. The network has been carefully chosen to include the world's leading experts as well as promising early career researchers. Not only does this guarantee the participants access to an enormous knowledge base, it will also ensure that new and innovative lines of research will continue to be developed long after the Project has finished. In particular, the collaborative nature of the project will be of great benefit to the early career researchers involved. In pure mathematics, fields often become so specialised that only a small number of people around the world might be actively researching a particular topic. This can make career progression very difficult. The interdisciplinary nature of the Project will expose the participants to a host of new mathematics and new collaborations. Consequently, this diversification will result in significantly more career opportunities than would otherwise be available.

Mots clés : noncommutative geometry, quantum groups, graph c  algebras, kk theory, index pairing, c  dynamical systems and crossed products, dirac operators, spectral triples, quantum gromov hausdorff distance

Participants :
- Vrije Universiteit Brussel (Belgique) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 13500.0 €
- University of Warsaw (Pologne) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 22500.0 €
- University of Toronto (Canada) — Partner, organization partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- University of Münster (Allemagne) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 4500.0 €
- Polish Academy of Sciences (Pologne) — Coordinator, beneficiary, Enseignement supérieur ou secondaire, subvention : 162000.0 €
- University of Wollongong (Australie) — Partner, organization partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Pennsylvania State University (Etats-Unis) — Partner, organization partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- University of California System (Etats-Unis) — Partner, organization partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- University of Kansas Medical Center (Etats-Unis) — Partner, organization partner, Recherche, subvention : 0.0 €
- University of Łódź (Pologne) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 22500.0 €
- University of Colorado System (Etats-Unis) — Partner, organization partner, Autres, subvention : 0.0 €
- Research Foundation for the State University of New York (Etats-Unis) — Partner, organization partner, Autres, subvention : 0.0 €
- University of Glasgow (Royaume-Uni) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 9000.0 €
- University of New Brunswick (Canada) — Partner, organization partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Universidad Michoacana de San Nicolás de Hidalgo (Mexique) — Partner, organization partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Scuola Internazionale Superiore di Studi Avanzati (Italie) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 27000.0 €
- Australian National University (Australie) — Partner, organization partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- University of Otago (Nouvelle-Zélande) — Partner, organization partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- University of Colorado System (Etats-Unis) — Partner, organization partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- University of Copenhagen (Danemark) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 22500.0 €
- University of Aberdeen (Royaume-Uni) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 4500.0 €