Objetivo "A dessin d’enfant is a type of graph drawing used to study algebraic groups and to provide combinatorial invariants for the action of the absolute Galois group. This project aims to develop new algorithms for computing dessins d’enfants and use these and other methods to attack Diophantine equations. In particular, we are interested in the Generalized Fermat Equation, which has been described by Darmon as the ""new holy grail of number theory"" in the sense that it replaces Fermat's Last Theorem as the major unsolved Diophantine problem. Our aim is to provide a practical method of translating any specific case of the generalized Fermat equation to a problem of determining rational points on curves. The field of curves is a rich one with many eminent practitioners and this translation is the surest way to provide progress for the generalized Fermat equation. The tool for this translation will be our dessins computed by our new algorithm." Ámbito científico natural sciencesmathematicspure mathematicsarithmetics Programa(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Tema(s) FP7-PEOPLE-2011-IEF - Marie-Curie Action: "Intra-European fellowships for career development" Convocatoria de propuestas FP7-PEOPLE-2011-IEF Consulte otros proyectos de esta convocatoria Régimen de financiación MC-IEF - Intra-European Fellowships (IEF) Coordinador THE UNIVERSITY OF WARWICK Aportación de la UE € 209 033,40 Dirección Kirby Corner Road - University House CV4 8UW Coventry Reino Unido Ver en el mapa Región West Midlands (England) West Midlands Coventry Tipo de actividad Higher or Secondary Education Establishments Contacto administrativo Peter Hedges (Dr.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos
