DESSARITH

Dessins and Arithmetic

Coordinatore	THE UNIVERSITY OF WARWICK    more  Organization address address: Kirby Corner Road - University House - city: COVENTRY postcode: CV4 8UW contact info Titolo: Dr. Nome: Peter Cognome: Hedges Email: send email Telefono: +44 2476523859 Fax: +44 2476524991
Nazionalità Coordinatore	United Kingdom [UK]
Totale costo	209˙033 €
EC contributo	209˙033 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2011-IEF
Funding Scheme	MC-IEF
Anno di inizio	2012
Periodo (anno-mese-giorno)	2012-09-01   -   2014-08-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	THE UNIVERSITY OF WARWICK  Organization address address: Kirby Corner Road - University House - city: COVENTRY postcode: CV4 8UW contact info Titolo: Dr. Nome: Peter Cognome: Hedges Email: send email Telefono: +44 2476523859 Fax: +44 2476524991	UK (COVENTRY)	coordinator	209˙033.40

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 Obiettivo del progetto (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.'