local Langlands correspondence

E1877729 UNEXPLORED

The local Langlands correspondence is a set of deep conjectural and proven relationships that match representations of local Galois or Weil–Deligne groups with representations of reductive groups over local fields, forming a key component of the broader Langlands program.

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Langlands program → hasPart → local Langlands correspondence ⓘ
local class field theory → relatedTo → local Langlands correspondence ⓘ
Weil–Deligne group → relatedTo → local Langlands correspondence ⓘ
Weil–Deligne group → usedIn → local Langlands parameterization ⓘ
linked to: local Langlands correspondence
reciprocity conjecture → associatedWith → Langlands correspondence ⓘ
linked to: local Langlands correspondence
Langlands dual group → usedIn → Langlands correspondence ⓘ
linked to: local Langlands correspondence
Langlands dual group → usedIn → local Langlands correspondence ⓘ
Langlands classification → relatedTo → local Langlands correspondence ⓘ
Lubin–Tate formal groups → relatedTo → local Langlands correspondence ⓘ
Bernstein–Zelevinsky classification → relatedTo → local Langlands correspondence ⓘ
Bernstein center in representation theory → relatedTo → local Langlands correspondence ⓘ
Bernstein center → relatedTo → local Langlands program ⓘ
linked to: local Langlands correspondence