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langlands-program
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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.