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NCDIFFGEO TERMINATED

Models of noncommutative differential geometries

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

NCDIFFGEO project word cloud

Explore the words cloud of the NCDIFFGEO project. It provides you a very rough idea of what is the project "NCDIFFGEO" about.

position complementing mathematics differentials enrich science realisation description noncommutativity thinking groups validate levi model variables generation coming geometry itself action seminal 1990 supervisor spacetime easily basis area metrics algebraic noncommutative physics first models differential original tied institutes appeared creative strength accessible noncommutativy conjunction proposes collaborations put ambition recognition co fellowship mathematical instead idea civita spacetimes gravity physicists international curvature promises connections symmetry train formalism researcher ordinate riemannian quality full odowska theory convincing career marie curie competitiveness quantum algebra arise possibilities subsequent longer tools theoretical stimulate amount flat coordinates sk physical interdisciplinary

Project "NCDIFFGEO" data sheet

The following table provides information about the project.

Coordinator	QUEEN MARY UNIVERSITY OF LONDON Organization address address: 327 MILE END ROAD city: LONDON postcode: E1 4NS website: http://www.qmul.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	United Kingdom [UK]
Project website	https://annapachol.wordpress.com/about/ncdiffgeo/
Total cost	183˙454 €
EC max contribution	183˙454 € (100%)
Programme	1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
Code Call	H2020-MSCA-IF-2014
Funding Scheme	MSCA-IF-EF-ST
Starting year	2016
Duration (year-month-day)	from 2016-02-01 to 2018-01-31

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	QUEEN MARY UNIVERSITY OF LONDON QUEEN MARY UNIVERSITY OF LONDON Organization address address: 327 MILE END ROAD city: LONDON postcode: E1 4NS website: http://www.qmul.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (LONDON)	coordinator	183˙454.00

Map

Project 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 SkÅ‚odowska-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.

Publications

List of publications.
year	authors and title	journal	last update
2017	Paolo Aschieri, Andrzej Borowiec, Anna PachoÅ‚ Observables and dispersion relations in Îº-Minkowski spacetime published pages: , ISSN: 1029-8479, DOI: 10.1007/JHEP10(2017)152	Journal of High Energy Physics 2017/10	2019-06-18
2017	Stjepan Meljanac, Daniel Meljanac, Anna PachoÅ‚, Danijel PikutiÄ‡ Remarks on simple interpolation between Jordanian twists published pages: 265201, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aa72d7	Journal of Physics A: Mathematical and Theoretical 50/26	2019-06-18
2017	PachoÅ‚, Anna; Borowiec, Andrzej Twisted bialgebroids versus bialgebroids from a Drinfeld twist published pages: , ISSN: 1751-8121, DOI: 10.1088/1751-8121/50/5/055205	Journal of Physics A: Mathematical and Theoretical 1	2019-06-18

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