nLab
local Langlands conjecture

Idea

The local Langlands conjectures are certain conjectures? in the context of the Langlands program.

They describe a correspondence between representations of the Weil group? of a local field and representations of algebraic groups over the local field, generalizing local class field theory from abelian Galois groups to non-abelian Galois groups.

References

Part of the above material is taken from

• Wikipedia, Local Langlands conjectures.

See also

• Colin Bushnell, Guy Henniart, The local Langlands conjecture for $\mathrm{GL}(2)$ .

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