Formulates a new upper-bound conjecture for wavefront sets of p-adic group representations, reduces it to anti-discrete series, and proves equivalence to the Jiang conjecture on Arthur packets plus an ABV-packet analog.
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Functoriality of the local theta correspondence for classical p-adic groups is realized through adaptation of the Adams conjecture to ABV-packets, with evidence given particularly for general linear groups.
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.
citing papers explorer
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On the upper bound of wavefront sets of representations of p-adic groups
Formulates a new upper-bound conjecture for wavefront sets of p-adic group representations, reduces it to anti-discrete series, and proves equivalence to the Jiang conjecture on Arthur packets plus an ABV-packet analog.
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Functoriality and the theta correspondence
Functoriality of the local theta correspondence for classical p-adic groups is realized through adaptation of the Adams conjecture to ABV-packets, with evidence given particularly for general linear groups.
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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.