%0 Journal Article %A Boyarchenko, Mitya %A Weinstein, Jared %T Maximal varieties and the local Langlands correspondence for 𝐺𝐿(𝑛) %J Journal of the American Mathematical Society %D 2016 %P 177-236 %V 29 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1090/jams826/ %R 10.1090/jams826 %F 10_1090_jams826