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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
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Meccanismo di finanziamento

ERC-AG - ERC Advanced Grant

Istituzione ospitante

UNIVERSITE PARIS-SUD
Contributo UE
€ 1 112 400,00
Indirizzo
RUE GEORGES CLEMENCEAU 15
91405 ORSAY CEDEX
Francia

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

Beneficiari (1)