CORDIS Project
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This project aims to advance the understanding of Diophantine equations through the study of Galois representations linked to automorphic forms. It focuses on developing algorithms and solving cases related to the generalized Fermat equation.
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…
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