Objective
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.
Fields of science
Call for proposal
ERC-2011-ADG_20110209
See other projects for this call
Funding Scheme
ERC-AG - ERC Advanced GrantHost institution
UNIVERSITE PARIS-SUD XI
Address
Rue Georges Clemenceau 15
91405 Orsay
France
91405 Orsay
France
See on map
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Nicolas Lecompte (Mr.)
Principal investigator
Jean-Michel Philippe Marie-José Bismut (Prof.)
EU contribution
€ 1 112 400
Beneficiaries (1)
UNIVERSITE PARIS-SUD XI
France
EU contribution
€ 1 112 400
Address
Rue Georges Clemenceau 15
91405 Orsay
91405 Orsay
See on map
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Nicolas Lecompte (Mr.)
Principal investigator
Jean-Michel Philippe Marie-José Bismut (Prof.)