English

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

Number Theory 2025-11-21 v7 Representation Theory

Abstract

In this paper, we establish the local converse theorem and the stability of local gamma factors for \Mp2n\Mp_{2n} via the precise local theta correspondence between \Mp2n\Mp_{2n} and \SO2n+1\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 \Mp2n\Mp_{2n} over number fields.

Keywords

Cite

@article{arxiv.2212.05234,
  title  = {The local converse theorem for $Mp_{2n}$ : the generic case},
  author = {Jaeho Haan},
  journal= {arXiv preprint arXiv:2212.05234},
  year   = {2025}
}

Comments

Accepted in Manuscripta Math

R2 v1 2026-06-28T07:28:51.580Z