Obiettivo 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. Campo scientifico natural sciencesmathematicsapplied mathematicsdynamical systems Programma(i) 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) Argomento(i) ERC-AG-PE1 - ERC Advanced Grant - Mathematical foundations Invito a presentare proposte ERC-2011-ADG_20110209 Vedi altri progetti per questo bando Meccanismo di finanziamento ERC-AG - ERC Advanced Grant Istituzione ospitante UNIVERSITE PARIS-SUD Contributo UE € 1 112 400,00 Indirizzo RUE GEORGES CLEMENCEAU 15 91405 ORSAY CEDEX Francia Mostra sulla mappa Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Nicolas Lecompte (Mr.) Ricercatore principale Jean-Michel Philippe Marie-José Bismut (Prof.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato Beneficiari (1) Classifica in ordine alfabetico Classifica per Contributo UE Espandi tutto Riduci tutto UNIVERSITE PARIS-SUD Francia Contributo UE € 1 112 400,00 Indirizzo RUE GEORGES CLEMENCEAU 15 91405 ORSAY CEDEX Mostra sulla mappa Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Nicolas Lecompte (Mr.) Ricercatore principale Jean-Michel Philippe Marie-José Bismut (Prof.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato