Section
Langlands program
Index of local and global Langlands correspondences, automorphic representations, endoscopy, function-field methods, and geometric Langlands.
Core idea
The Langlands program relates harmonic analysis on reductive groups to Galois and motivic parameters through local and global correspondences, -functions, functoriality, trace formulas, and geometric categorification. Many parts are theorems in specified settings; the general program remains conjectural.
Guided collections
- Modern Langlands foundations — local packets, the global automorphic–Galois dictionary, endoscopy, shtukas, and Fargues–Scholze local geometrization.
- Modern Langlands dependency closure — 57 reusable prerequisite pages exposed by the semantic interlinking audit.
- Geometric Langlands — curves, , local systems, geometric Satake, Hecke eigensheaves, and the categorical theorem.
- Langlands Letter — a historical annotated reading of the 1967 letter, cross-linked to the modern vocabulary.