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.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
verdicts
UNVERDICTED 3roles
background 1polarities
background 1representative citing papers
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
-
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.
-
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.