QFT-2-MOT & 3-FOLDS

From Quantum Field Theory to Motives and 3-manifolds

Coordinatore	UNIVERSITE DU LUXEMBOURG    more  Organization address address: AVENUE DE LA FAIENCERIE 162 A city: LUXEMBOURG-VILLE postcode: 1511 contact info Titolo: Mr. Nome: Alfred Cognome: Funk Email: send email Telefono: +352 4666446586
Nazionalità Coordinatore	Luxembourg [LU]
Totale costo	100˙000 €
EC contributo	100˙000 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2012-CIG
Funding Scheme	MC-CIG
Anno di inizio	2012
Periodo (anno-mese-giorno)	2012-10-01   -   2016-09-30

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	UNIVERSITE DU LUXEMBOURG  Organization address address: AVENUE DE LA FAIENCERIE 162 A city: LUXEMBOURG-VILLE postcode: 1511 contact info Titolo: Mr. Nome: Alfred Cognome: Funk Email: send email Telefono: +352 4666446586	LU (LUXEMBOURG-VILLE)	coordinator	100˙000.00

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 Obiettivo del progetto (Objective)

'Quantization has been a potent source of interesting ideas in mathematics. This project aims to investigate a series of problems in pure mathematics, all having their roots and solutions in perturbative quantum field theory (pQFT). Below is a brief description of these subprojects.

* Motivic Renormalizations: This project proposes to study motivic aspects of renormalization in order to understand number and homotopy theoretic properties of perturbative quantum field theories. The focal point of this project is to answer the main open problems of the field; explaining the presence of multiple zeta values and proving that pQFTs are indeed form E_d-algebras.

* Algebraization of 3-manifolds: This project proposes a combinatorial reconstruction of 3-dimensional manifolds out of certain Feynman graphs and connections to bialgebras. This approach can be seen as a 3-dimensional generalization of the theory of Strebel differentials. It suggests a set of new invariants of 3-manifolds and their connection to the known ones (such Turaev-Viro, Reshetikhin-Turaev, finite type invariants). This combinatorial construction should also be related to a tensor model that is a generalization of Kontsevich’s matrix model in and such a model will be able to provide fundamental topological characteristics as Kontsevich’s model does in dimension two.'