Extended packet conjecture
Extended packet conjecture
Suppose is -quasi-split and fix a Whittaker datum . An extended -packet is a fibre of the composite semisimplification map from representations to semisimple parameters. Extended packet conjecture. Every extended -packet contains a unique -generic representation.
The source notes that this would follow, under the stated local Langlands conjecture, from the tempered packet conjecture and the maximal-monodromy formulation of Gross–Prasad–Rallis. 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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