Multiplicity equality conjecture for elliptic A-parameters
Let be a unitary group or an even orthogonal group, and let
be an elliptic -parameter for . Let be an irreducible representation of such that the -parameter of is for almost all places . Multiplicity equality conjecture. The discrete multiplicity of equals its predicted multiplicity:
This conjecture is formulated to extend the paper's multiplicity formula from generic elliptic -parameters to all elliptic -parameters, by implying equality in J.-S. Li's inequality. The supplied passage does not state whether it has been proved or remains open.
References
Primary source
Rui Chen and Jialiang Zou, “Arthur's multiplicity formula for even orthogonal and unitary groups”, arXiv:2103.07956 (2024).
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