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PreprintarXiv licencearXiv

On the generic case of Jiang's conjecture

  • Chi-Heng Lo
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Abstract

Jiang's conjecture predicts that if π is a generic representation of a quasi-split p-adic group, then the L-parameter of the Aubert-Zelevinsky involution of π must be trivial on SL2. In this paper, we prove this statement for a general quasi-split group under certain assumptions on the conjectural local Langlands correspondence.

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Cite

BibTeXRIS
BibTeX
@misc{lo2026generic,
  title = {{On the generic case of Jiang's conjecture}},
  author = {Chi-Heng Lo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.41765},
  eprint = {2610.41765},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.41765},
}
RIS
TY  - UNPB
TI  - On the generic case of Jiang's conjecture
AU  - Chi-Heng Lo
PY  - 2026
DA  - 2026/10/30
PB  - arXiv
DO  - 10.48550/arxiv.2610.41765
UR  - https://arxiv.org/abs/2610.41765
AB  - Jiang's conjecture predicts that if π is a generic representation of a quasi-split p-adic group, then the L-parameter of the Aubert-Zelevinsky involution of π must be trivial on SL_2. In this paper, we prove this statement for a general quasi-split group under certain assumptions on the conjectural local Langlands correspondence.
ER  -