p-adic Langlands and the Emerton-Gee stack

Project description

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.

Fields of science

• natural sciences › mathematics › pure mathematics › arithmetic

Programme(s)

• H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC)

Topic(s)

• ERC-2019-ADG - ERC Advanced Grant

Call for proposal

ERC-2019-ADG
See other projects for this call

Funding Scheme

ERC-ADG - Advanced Grant

Host institution

IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE

Address

South Kensington Campus Exhibition Road
SW7 2AZ London
United Kingdom

Activity type

Higher or Secondary Education Establishments

EU contribution

€ 2 195 110

Beneficiaries (1)

IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE

United Kingdom

EU contribution

€ 2 195 110

Address

South Kensington Campus Exhibition Road
SW7 2AZ London

Activity type

Higher or Secondary Education Establishments