Towards a p-adic Langlands programme

2004/08/30 by Laurent Berger, Christophe Breuil, Berger, Laurent +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #advanced mathematical theories #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.math/0408404

50 pages

arxiv created 2004/08/30 · openalex publication_date 2004/08/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These are the notes for an eponymous course given by the authors at the summer school on p-adic arithmetic geometry in Hangzhou.

Citations

• Limites de représentations cristallines
• Une preuve simple des conjectures de Langlands pour GL(n) sur un corps p-adique

Related

• Can we dream of a 1-adic Langlands correspondence?
• An introduction to the categorical p-adic Langlands program
• p-adic geometry
• The local Langlands correspondence for GL(n) over p-adic fields
• On the geometrization of the p-adic local Langlands correspondence