Jiang's wavefront set conjecture is reduced via character identities and matching to wavefront set properties of bi-torsor GL representations, which follow from Atobe-Ciubotaru when residue characteristic is large.
Waldspurger, Repr´ esentations de r´ eduction unipotente pourSO 2n+1, III: exemples de fronts d´ onde
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On Jiang's wavefront sets conjecture for representations in local Arthur packets
Jiang's wavefront set conjecture is reduced via character identities and matching to wavefront set properties of bi-torsor GL representations, which follow from Atobe-Ciubotaru when residue characteristic is large.