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arXiv · 2602.13090

On Arthur packets containing a fixed tempered representation

Alexander Hazeltine·Aarya Kumar·Andrew Tung
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Abstract

We determine the number of local Arthur packets containing a certain fixed tempered representation for classical $p$-adic groups. More specifically, given a tempered extended multi-segment supported in the integers, we determine a count for all extended multi-segments which arise from it through applications of the operators arising from the theory of intersections of local Arthur packets.

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Alexander Hazeltine, Aarya Kumar, Andrew Tung. 2026-02-13. On Arthur packets containing a fixed tempered representation. https://arxiv.org/abs/2602.13090

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