CORDIS Project
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This project aims to enhance the understanding of Galois representations in number theory and arithmetic geometry by developing new techniques. It focuses on addressing key questions and proving significant conjectures related to the Langlands programme, which connects Galois representations with automorphic forms.
Many of the most important questions in number theory and arithmetic geometry can be approached through the theory of Galois representations. A powerful tool to understand such representations is the Langlands programme, which describes the conjectural relations between Galois representations and automorphic forms.
Landmark results in this direction include the proof of the modularity conjecture for (the Galois representations associated to) elliptic curves over the field of rational numbers and…
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