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Models of noncommutative differential geometries

Objective

Quantum spacetime is the idea that spacetime coordinates are not classical variables but elements of a noncommutative 'co-ordinate algebra' much as in quantum theory. The first convincing models of (flat) quantum spacetime appeared in the 1990's, typically on the basis of quantum symmetry using the then-new theory of quantum groups. The thinking is that such noncommutativity should arise from quantum gravity effects and allows us to model these in an effective description without full knowledge of quantum gravity itself (this not being known). Such flat quantum spacetimes are an area of existing strength for EU science. The project proposes a new generation of quantum spacetime models no longer tied to quantum symmetry. Instead the Marie Skłodowska-Curie Fellowship will train an experienced Researcher coming from theoretical physics in new highly algebraic tools which are not easily accessible to physicists and which amount to a mathematical theory of 'noncommutative Riemannian geometry' including quantum differentials, quantum metrics, and quantum-Levi Civita connections and quantum curvature. The realisation of the project will validate and enrich the mathematical formalism and also promises a next generation of physical effects related to the conjunction of both gravity and quantum noncommutativy, which will stimulate original and creative approaches to quantum gravity across several EU institutes. It will also greatly enhance the competitiveness of the Researcher in complementing her knowledge of theoretical physics by mathematics (noncommutative differential geometry) which will put her in a seminal position for subsequent work. The quality and ambition of the research objectives, the possibilities of interdisciplinary collaborations and the international recognition of the Supervisor will further enhance the action and the Researcher's career.

Fields of science (EuroSciVoc)

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Keywords

Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)

Programme(s)

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Topic(s)

Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.

Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)

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Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

(opens in new window) H2020-MSCA-IF-2014

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Coordinator

QUEEN MARY UNIVERSITY OF LONDON
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 183 454,80
Address
327 MILE END ROAD
E1 4NS LONDON
United Kingdom

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Activity type
Higher or Secondary Education Establishments
Links
Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

€ 183 454,80
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