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

Objetivo

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.

Convocatoria de propuestas

ERC-2011-ADG_20110209
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Régimen de financiación

ERC-AG - ERC Advanced Grant
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Coordinador

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

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Tipo de actividad
Higher or Secondary Education Establishments
Contacto administrativo
Nicolas Lecompte (Mr.)
Investigador principal
Jean-Michel Philippe Marie-José Bismut (Prof.)
Enlaces
Aportación de la UE
Sin datos

Beneficiarios (1)