ERC Consolidator Grant · 2024
Modularity and Reciprocity: a Robust Approach
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 the proof of Serre's conjecture. Dramatic advances in our understanding of the structures of the Langlands programme in the last 20 years have made it possible to extend the scope of these theorems,…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.