CORDIS Project
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This research focuses on the connections between automorphic forms and p-adic Galois representations, aiming to prove significant conjectures in higher dimensions. By employing new geometric techniques, it seeks to enhance understanding of these mathematical structures and their implications for number theory.
Connections between automorphic forms and p-adic Galois representations are at the heart of the Langlands program and are the source of many of the most important advances in number theory.
The most powerful technique for proving these connections is the use of automorphy lifting theorems.
These theorems are well established in the two dimensional case, but are much weaker in higher dimensions, due to a lack of understanding of the corresponding Galois deformation rings. I propose to use a comp…
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