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arXiv · 2212.05234

The local converse theorem for $Mp_{2n}$ : the generic case

Jaeho Haan
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Abstract

In this paper, we establish the local converse theorem and the stability of local gamma factors for $\Mp_{2n}$ via the precise local theta correspondence between $\Mp_{2n}$ and $\SO_{2n+1}$ over local fields of characteristic not equal to 2. We also prove the rigidity theorem for irreducible generic cuspidal automorphic representations of $\Mp_{2n}$ over number fields.

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Jaeho Haan. 2022-12-10. The local converse theorem for $Mp_{2n}$ : the generic case. https://arxiv.org/abs/2212.05234

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