New approach to the study of p-adic Galois representations
The Langlands programme is a grand unified theory of mathematics suggesting that the mathematics of algebra (Galois representations) and analysis (automorphic forms) are intimately related. Automorphy lifting theorems are the most powerful techniques that prove this connection. Despite their success in 2D Galois representations, the lack of understanding of Galois deformation rings makes their use challenging in higher dimensions. The EU-funded LEGS project will use a radically new approach to studying p-adic Galois representations – the Emerton–Gee stack. This object does not limit studies on infinitesimal neighbourhoods but rather enables the use of global geometric techniques.
Call for proposal
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