Models of noncommutative differential geometries

Projektinformationen

NCDIFFGEO

ID Finanzhilfevereinbarung: 660061

DOI 10.3030/660061

Das Projekt endete am 24 September 2017

EK-Unterschriftsdatum 18 März 2015

Startdatum 1 Februar 2016

Enddatum 31 Januar 2018

Finanziert unter

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Gesamtkosten € 183 454,80

EU-Beitrag € 183 454,80

Koordiniert durch

QUEEN MARY UNIVERSITY OF LONDON
United Kingdom

Ziel

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.

Wissenschaftliches Gebiet

• natural sciences › mathematics › pure mathematics › algebra › commutative algebra

Schlüsselbegriffe

• quantum spacetime
• Riemannian geometry
• noncommutative geometry
• quantum groups

Programm/Programme

• H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme
• H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility

Thema/Themen

• MSCA-IF-2014-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF)

Aufforderung zur Vorschlagseinreichung

H2020-MSCA-IF-2014

Finanzierungsplan

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

Koordinator

QUEEN MARY UNIVERSITY OF LONDON

• Netto-EU-Beitrag: € 183 454,80
• Adresse: 327 MILE END ROAD ; E1 4NS London ; Vereinigtes Königreich
• Region: London › Inner London — East › Tower Hamlets
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: € 183 454,80