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L-Functoriality for Local Theta Correspondence of Supercuspidal Representations with Unipotent Reduction
Published online by Cambridge University Press: 20 November 2018
Abstract
The preservation principle of local theta correspondences of reductive dual pairs over a $p$-adic field predicts the existence of a sequence of irreducible supercuspidal representations of classical groups. Adams and Harris-Kudla-Sweet have a conjecture about the Langlands parameters for the sequence of supercuspidal representations. In this paper we prove modified versions of their conjectures for the case of supercuspidal representations with unipotent reduction.
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- Copyright © Canadian Mathematical Society 2017