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arXiv · 2607.23885

Beyond the Adams Conjecture

Alexander Hazeltine·Aarya Kumar·Andrew Tung
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Abstract

For symplectic and even orthogonal groups over a $p$-adic field, we determine the number of local Arthur packets containing the local theta lift of a tempered representation at the first occurrence in the going-up tower. These counts show that the local theta lifts may lie in many more local Arthur packets than those predicted by the Adams conjecture.

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Alexander Hazeltine, Aarya Kumar, Andrew Tung. 2026-07-26. Beyond the Adams Conjecture. https://arxiv.org/abs/2607.23885

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