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
Not validated
Not validated
Call for proposal
ERC-2011-ADG_20110209
See other projects for this call
Funding Scheme
ERC-AG - ERC Advanced GrantHost institution
91405 ORSAY CEDEX
France