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Sur les donn{\'e}es endoscopiques dans le cas de l'endoscopie tordue

Number Theory 2022-02-28 v1

Abstract

We give a simple combinatorial description of the elliptic endoscopic data of a twisted space under a group GG, assuming that GG is semi-simple and simply connected. Assuming the same hypothesis and that the base field is a number field, we prove that, if two elliptic endoscopic data are equivalent almost everywhere, then they are equivalent.

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Cite

@article{arxiv.2202.12542,
  title  = {Sur les donn{\'e}es endoscopiques dans le cas de l'endoscopie tordue},
  author = {Jean-Loup Waldspurger},
  journal= {arXiv preprint arXiv:2202.12542},
  year   = {2022}
}

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