ANALYSISDIRAC

The analysis of the Dirac operator: the hypoelliptic Laplacian and its applications

 Coordinatore UNIVERSITE PARIS-SUD 

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 Nazionalità Coordinatore France [FR]
 Totale costo 1˙112˙400 €
 EC contributo 1˙112˙400 €
 Programma FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call ERC-2011-ADG_20110209
 Funding Scheme ERC-AG
 Anno di inizio 2012
 Periodo (anno-mese-giorno) 2012-02-01   -   2017-01-31

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    UNIVERSITE PARIS-SUD

 Organization address address: RUE GEORGES CLEMENCEAU 15
city: ORSAY
postcode: 91405

contact info
Titolo: Mr.
Nome: Nicolas
Cognome: Lecompte
Email: send email
Telefono: +33 1 69155589
Fax: +33 1 69155599

FR (ORSAY) hostInstitution 1˙112˙400.00
2    UNIVERSITE PARIS-SUD

 Organization address address: RUE GEORGES CLEMENCEAU 15
city: ORSAY
postcode: 91405

contact info
Titolo: Prof.
Nome: Jean-Michel Philippe Marie-José
Cognome: Bismut
Email: send email
Telefono: +33 1 69157997
Fax: +33 1 69156348

FR (ORSAY) hostInstitution 1˙112˙400.00

Mappa


 Word cloud

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analytic    hodge   

 Obiettivo del progetto (Objective)

'This proposal is devoted to the applications of a new hypoelliptic Dirac operator, whose analytic properties have been studied by Lebeau and myself. Its construction connects classical Hodge theory with the geodesic flow, and more generally any geometrically defined Hodge Laplacian with a dynamical system on the cotangent bundle. The proper description of this object can be given in analytic, index theoretic and probabilistic terms, which explains both its potential many applications, and also its complexity.'

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