# The Langlands program

- kind: region

A web of conjectures linking number theory, representation theory and geometry, begun in Robert Langlands's 1967 letter to André Weil. It is the closest thing mathematics has to a grand unified theory.

## Problems

- [Modularity theorem](/wiki/Problem:modularity-theorem.md) (solved)
- [Geometric Langlands conjecture](/wiki/Problem:geometric-langlands.md) (solved)
- [Sato–Tate conjecture](/wiki/Problem:sato-tate.md) (solved)
- [Langlands reciprocity (general)](/wiki/Problem:langlands-reciprocity.md) (open)

Part of [Mathematics](/wiki/Continent:mathematics.md).

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