Skip to main content
European Commission logo print header

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

Ziel

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.

Aufforderung zur Vorschlagseinreichung

ERC-2011-ADG_20110209
Andere Projekte für diesen Aufruf anzeigen

æ

Koordinator

UNIVERSITE PARIS-SUD
Adresse
Rue georges clemenceau 15
91405 Orsay cedex
Frankreich

Auf der Karte ansehen

Aktivitätstyp
Higher or Secondary Education Establishments
Kontakt Verwaltung
Nicolas Lecompte (Mr.)
Hauptforscher
Jean-Michel Philippe Marie-José Bismut (Prof.)
Links
EU-Beitrag
Keine Daten

Begünstigte (1)