The tempered packet conjecture

Let bbGbbG be an bbFbbF-quasi-split connected reductive group and fix a Whittaker datum (bbU,bbpsi)(bbU,bbpsi). Tempered packet conjecture. Every tempered LL-packet contains a unique bbpsibbpsi-generic representation.

The existence of a generic member is attributed in the source to Shahidi's tempered packet conjecture. The supplied text gives no resolution status.

Sources & referencesView supporting material

Primary source

Jean-François Dat, David Helm, Robert Kurinczuk and Gilbert Moss, “Local Langlands in families: The banal case”, arXiv:2406.09283 (2024).

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