Arthur-packet equality conjecture for tempered L-packets
Arthur-packet equality conjecture for tempered L-packets
Let be an irreducible representation in the tempered -packet , and set . Arthur-packet equality conjecture. Every constituent satisfies
and equality is achieved for some in the -packet. This is the tempered-packet reformulation of the preceding Arthur-packet expectation and follows from the broader conjectural picture if the relevant Arthur packets are defined; its general validity remains open.
Sources & referencesView supporting material
Primary source
Dan Ciubotaru and Ju-Lee Kim, “The wavefront set: bounds for the Langlands parameter”, arXiv:2403.14261 (2025).
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