CORDIS Project
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This project focuses on advancing the modular approach to Diophantine equations, building on Wiles' proof of Fermat's Last Theorem. It aims to develop new tools for studying Galois representations and modularity in abelian varieties, enhancing flexibility in mathematical research.
Wiles' remarkable proof of Fermat's Last Theorem paved the way for the modular approach to Diophantine equations.
This associates a Frey elliptic curve to a putative solution of a Diophantine equation and studies it using Galois representations and modularity.
This proposal is organized around two research programmes, both of which develop new tools for the modular approach.
The first is concerned with distinguishing Galois representations; this is currently the most frequent obstruction to the…
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