Geodesic
L-Functoriality for Local Theta Correspondence of Supercuspidal Representations with Unipotent Reduction
Canadian journal of mathematics, Tome 69 (2017) no. 1, pp. 186-219

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DOI

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.
DOI : 10.4153/CJM-2016-033-1
Mots-clés : 22E50, 11F27, 20C33, local theta correspondence, supercuspidal representation, preservation principle, Langlands functoriality 
Pan, Shu-Yen. L-Functoriality for Local Theta Correspondence of Supercuspidal Representations with Unipotent Reduction. Canadian journal of mathematics, Tome 69 (2017) no. 1, pp. 186-219. doi: 10.4153/CJM-2016-033-1
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     title = {L-Functoriality for {Local} {Theta} {Correspondence} of {Supercuspidal} {Representations} with {Unipotent} {Reduction}},
     journal = {Canadian journal of mathematics},
     pages = {186--219},
     year = {2017},
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