CORDIS Project
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This project aims to develop algorithms for computing dessins d’enfants, which are used to study algebraic groups and solve Diophantine equations, particularly the Generalized Fermat Equation. The goal is to create practical methods for translating these equations into solvable problems.
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…
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