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arXiv · 2404.05773

On the enhanced Shahidi conjecture and global applications

Alexander Hazeltine·Baiying Liu·Chi-Heng Lo
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Abstract

In this paper, applying the intersection theory of local Arthur packets, for symplectic and split odd special orthogonal groups G_n, we give the first complete proof of the enhanced Shahidi conjecture on generic representations in local Arthur packets. We also classify unramified representations of Arthur type for G_n, and show that they lie in exactly one local Arthur packet, which is anti-generic. Then, we discuss the global applications of these results.

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Alexander Hazeltine, Baiying Liu, Chi-Heng Lo. 2024-04-08. On the enhanced Shahidi conjecture and global applications. https://arxiv.org/abs/2404.05773

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