Menu
MapConnectionsTopicsBulgariaThe Night (K-TRIO)Marie Skłodowska-CurieFor studentsFor teachersMethodologySurprise me
H2020Staff exchange2016–2019

QUANTUM DYNAMICS · New Geometry of Quantum Dynamics

Horizon 2020 — Marie Skłodowska-Curie Actions

Duration
2016-01-01 → 2019-12-31
EU contribution
€288,000
Participants
21
Scheme
MSCA-RISE

Lines connect the coordinator with its partners.

Results in brief

New Geometry of Quantum Dynamics

The main objectives of the project concern the classification, symmetry, structure and noncommutative metric geometry of quantum spaces. The innovation in our approach comes from our combination of ideas from many fields of research such as: operator theory, metric topology and differential geometry, classification theory of C*-algebras, path algebras and Hopf algebras. All of the aforementioned main objectives have been successfully implemented to the satisfactory extent. A detailed description of our research progress sectioned into five work packages is provided below. The interplay between our scientifically adjacent but distinct work packages yielded innovative and original ideas, as expected. For instance, new equivariant dimensions introduced within WP 1 were applied in computations in WP 3.

Data: CORDIS, © European Union

Project objective

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.

Original text from CORDIS.

Participants

  • INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK · WARSZAWACoordinatorPoland
  • KOBENHAVNS UNIVERSITET · KOBENHAVNDenmark
  • REGENTS OF THE UNIVERSITY OF COLORADO · Boulder CoUnited States
  • SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE · TriesteItaly
  • THE AUSTRALIAN NATIONAL UNIVERSITY · CANBERRAAustralia
  • THE PENNSYLVANIA STATE UNIVERSITY · University ParkUnited States
  • THE REGENTS OF THE UNIVERSITY OF CALIFORNIA · OaklandUnited States
  • THE RESEARCH FOUNDATION OF STATE UNIVERSITY OF NEW YORK · Albany NyUnited States
  • THE UNIVERSITY COURT OF THE UNIVERSITY OF ABERDEEN · AberdeenUnited Kingdom
  • The Fields Institute for Research in Mathematical Sciences · TorontoCanada
  • UNIVERSIDAD MICHOACANA DE SAN NICOLAS HIDALGO · MORELIAMexico
  • UNIVERSITAET MUENSTER · MuensterGermany
  • UNIVERSITY OF DENVER COLORADO SEMINARY · DenverUnited States
  • UNIVERSITY OF GLASGOW · GlasgowUnited Kingdom
  • UNIVERSITY OF KANSAS CENTER FOR RESEARCH, INC · LAWRENCE KSUnited States
  • UNIVERSITY OF NEW BRUNSWICK · FrederictonCanada
  • UNIVERSITY OF OTAGO · DunedinNew Zealand
  • UNIVERSITY OF WOLLONGONG · WOLLONGONG NSWAustralia
  • UNIWERSYTET LODZKI · LODZPoland
  • UNIWERSYTET WARSZAWSKI · WarszawaPoland
  • VRIJE UNIVERSITEIT BRUSSEL · Bruxelles / BrusselBelgium

Links

Data: CORDIS, © European Union