This project has received funding from the EU's Horizon 2020 Research and Innovation Staff Exchange programme under grant agreement No 691246.
New geometry of quantum dynamics is a project which aims to make significant advances in the field of noncommutative geometry by developing new methods through substantial interaction within its sub-fields and with other areas of pure mathematics. The main focus will be to determine the topological nontriviality 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 a fundamental level, have had their concrete and usable connections left 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.
Start date: 1 January 2016
End date: 31 December 2019