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.
Paquets d'Arthur pour les groupes classiques; point de vue combinatoire
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abstract
The aim of this work, is to describe fairly explicitly a general Arthur's packet for a classical group. The problem to be solved, here, is the decompostion of induced representations. Following previous work on general linear group, such a description implies the needed transfer for the representations in Arthur's packet.
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math.RT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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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.