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