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 natural sciencesmathematicsapplied mathematicsdynamical systems Programme(s) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) ERC-AG-PE1 - ERC Advanced Grant - Mathematical foundations Call for proposal ERC-2011-ADG_20110209 See other projects for this call Funding Scheme ERC-AG - ERC Advanced Grant Coordinator UNIVERSITE PARIS-SUD Address Rue georges clemenceau 15 91405 Orsay cedex 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.) Links Contact the organisation Opens in new window Website Opens in new window EU contribution No data Beneficiaries (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all UNIVERSITE PARIS-SUD France EU contribution € 1 112 400,00 Address Rue georges clemenceau 15 91405 Orsay cedex See on map Activity type Higher or Secondary Education Establishments Administrative Contact Nicolas Lecompte (Mr.) Principal investigator Jean-Michel Philippe Marie-José Bismut (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Other funding No data
