The analysis of the Dirac operator the hypoelliptic Laplacian and its applicati...
The analysis of the Dirac operator the hypoelliptic Laplacian and its applications
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...
ver más
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Información proyecto analysisdirac
Líder del proyecto
UNIVERSITE PARISSUD
No se ha especificado una descripción o un objeto social para esta compañía.
TRL
4-5
Presupuesto del proyecto
1M€
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Sin fecha límite de participación.
Descripción del proyecto
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.