ERC Advanced Grant · 2019
p-adic Langlands and the Emerton-Gee stack
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 completely new way of studying p-adic Galois representations, which is known as the Emerton–Gee stack. This opens up a new horizon, because it will allow me to use global geometric techniques, rather than…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.