Automorphic forms and the p-adic Langlands programme (A01)

• Subject Area: Mathematics
• Term: since 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 427320536

The past years have seen tremendous progress in the development of a categorical approach to the arithmetic of the Langlands programme. In the context of the p-adic Langlands programme the main features of this approach are the study of derived categories of p-adic representations of p-adic Lie groups, the study of (coherent) sheaves on moduli of Galois representations associated to such representations, and the development of a more geometric approach to such representations. The project addresses all these three aspects of the programme.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1442: Geometry: Deformations and Rigidity
• Applicant Institution: Universität Münster
• Project Heads: Professor Dr. Eugen Hellmann; Dr. Joao Lourenco, since 7/2024; Professor Dr. Peter Schneider