This volume proposes an extension of the Langlands program to covers of quasisplit groups, where covers are those that arise from central extensions of reductive groups by K2 . By constructing an L-group for any such cover, one may conjecture a parameterization of genuine irreducible representations by Langlands parameters. Two constructions of the L-group are given, and related to each other in a final note. The proposed local Langlands conjecture for covers (LLCC) is proven for covers of split tori, spherical representations in the p-adic case, and discrete series for doublecovers of real semisimple groups. The introduction of the

L-group allows one to define partial L-functions and functoriality, including base change, for representations of covering groups.