QFT-2-MOT & 3-FOLDS

From Quantum Field Theory to Motives and 3-manifolds

 Coordinatore 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

 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

Mappa


 Word cloud

Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.

kontsevich    turaev    theory    invariants    quantum    dimensional    proposes    perturbative    mathematics    manifolds    motivic    combinatorial    generalization    model   

 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.'

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