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Nonarchimedean components of non-endoscopic automorphic representations for quasisplit Sp(N) and O(N)

Bin Xu Yau Mathematical Sciences Center and Department of Mathematics, Tsinghua University, Beijing, China

Representation Theory mathscidoc:2206.30002

Mathematische Zeitschrift, 297, 885–921, 2020.6
Arthur classified the discrete automorphic representations of symplectic and orthogonal groups over a number field by that of the general linear groups. In this classification, those that are not from endoscopic lifting correspond to pairs (ϕ,b), where ϕ is an irreducible unitary cuspidal automorphic representation of some general linear group and b is an integer. In this paper, we study the local components of these automorphic representations at a nonarchimedean place, and we give a complete description of them in terms of their Langlands parameters.
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@inproceedings{bin2020nonarchimedean,
  title={Nonarchimedean components of non-endoscopic automorphic representations for quasisplit Sp(N) and O(N)},
  author={Bin Xu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220618161704950229406},
  booktitle={Mathematische Zeitschrift},
  volume={297},
  pages={885–921},
  year={2020},
}
Bin Xu. Nonarchimedean components of non-endoscopic automorphic representations for quasisplit Sp(N) and O(N). 2020. Vol. 297. In Mathematische Zeitschrift. pp.885–921. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220618161704950229406.
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