Skip to main content
European Commission logo print header

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

Obiettivo

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.

Invito a presentare proposte

ERC-2011-ADG_20110209
Vedi altri progetti per questo bando

Meccanismo di finanziamento

ERC-AG - ERC Advanced Grant
æ

Coordinatore

UNIVERSITE PARIS-SUD
Indirizzo
Rue georges clemenceau 15
91405 Orsay cedex
Francia

Mostra sulla mappa

Tipo di attività
Higher or Secondary Education Establishments
Contatto amministrativo
Nicolas Lecompte (Mr.)
Ricercatore principale
Jean-Michel Philippe Marie-José Bismut (Prof.)
Collegamenti
Contributo UE
Nessun dato

Beneficiari (1)