Objective "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." Fields of science natural sciencesmathematicspure mathematicsarithmetics Programme(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) Topic(s) FP7-PEOPLE-2011-IEF - Marie-Curie Action: "Intra-European fellowships for career development" Call for proposal FP7-PEOPLE-2011-IEF See other projects for this call Funding Scheme MC-IEF - Intra-European Fellowships (IEF) Coordinator THE UNIVERSITY OF WARWICK Address Kirby corner road - university house CV4 8UW Coventry United Kingdom See on map Region West Midlands (England) West Midlands Coventry Activity type Higher or Secondary Education Establishments Administrative Contact Peter Hedges (Dr.) Links Contact the organisation Opens in new window Website Opens in new window EU contribution No data
