Space · region

The Langlands program

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 (solved)
Geometric Langlands conjecture (solved)
Sato–Tate conjecture (solved)
Langlands reciprocity (general) (open)

Part of Mathematics.

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