ANALYSISDIRAC

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

Coordinatore	UNIVERSITE PARIS-SUD    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
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

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 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.'