HMF

Hilbert Modular Forms and Diophantine Applications

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 24 765 23716 Fax: +44 24 7657 4458
Nazionalità Coordinatore	United Kingdom [UK]
Totale costo	161˙792 €
EC contributo	161˙792 €
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-2007-4-2-IIF
Funding Scheme	MC-IIF
Anno di inizio	2009
Periodo (anno-mese-giorno)	2009-07-20   -   2011-07-19

 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 24 765 23716 Fax: +44 24 7657 4458	UK (COVENTRY)	coordinator	0.00

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 Obiettivo del progetto (Objective)

'The ideas of Frey, Serre, Ribet and Wiles connect Diophantine equations to Galois representations arising from automorphic forms. The most spectacular success in this direction is Wiles' amazing proof of Fermat's Last Theorem. The proof relates hypothetical solutions of the Fermat equation with elliptic modular forms which are the most basic (and best understood) of automorphic forms. It has become clear however, thanks to the work of Darmon and of Jarvis and Meekin, that the resolution of many other Diophantine problems lies through an explicit understanding of the more difficult Hilbert modular and automorphic forms. This project has the following aims: 1. Develop and improve algorithms for Hilbert modular forms and for automorphic forms on unitary groups. 2. To solve several cases of the generalized Fermat equation after making explicit the strategies of Darmon and of Jarvis and Meekin and computing/studying the relevant Hilbert modular forms. 3. To make precise and explicit certain instances of the Langlands programme.'