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Local Gan-Gross-Prasad conjecture for unitary groups: Trace formula approach for epsilon dichotomy

  • Cheng Chen
  • Xiaowei Li
  • Bushi Ren
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Abstract

The purpose of this paper is to provide a proof independent of the theta-lifting for the epsilon-dichotomy of the local Gan-Gross-Prasad conjecture of real unitary groups for tempered L-parameters. The approach is based on the local trace formula and endoscopic character identities following Waldspurger and Chen-Luo.

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Cite

BibTeXRIS
BibTeX
@misc{chen2026local,
  title = {{Local Gan-Gross-Prasad conjecture for unitary groups: Trace formula approach for epsilon dichotomy}},
  author = {Cheng Chen and Xiaowei Li and Bushi Ren},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.29483},
  eprint = {2610.29483},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.29483},
}
RIS
TY  - UNPB
TI  - Local Gan-Gross-Prasad conjecture for unitary groups: Trace formula approach for epsilon dichotomy
AU  - Cheng Chen
AU  - Xiaowei Li
AU  - Bushi Ren
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.29483
UR  - https://arxiv.org/abs/2610.29483
AB  - The purpose of this paper is to provide a proof independent of the theta-lifting for the epsilon-dichotomy of the local Gan-Gross-Prasad conjecture of real unitary groups for tempered L-parameters. The approach is based on the local trace formula and endoscopic character identities following Waldspurger and Chen-Luo.
ER  -