In mathematics, the local Langlands conjectures, introduced by Langlands (1967, 1970), are part 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.
Read more about Local Langlands Conjectures: Local Langlands Conjectures For GL1, Representations of The Weil Group, Representations of GLn(F), Local Langlands Conjectures For GL2, Local Langlands Conjectures For GLn, Local Langlands Conjectures For Other Groups
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