Weil representation and arithmetic fundamental lemma

Zhang Wei Massachusetts Institute of Technology, Cambridge MA 02141

Number Theory Algebraic Geometry arXiv subject: Representation Theory (math.RT) mathscidoc:2203.24006

Annals of Mathematics, 193, 863-978, 2021.5
We study a partially linearized version of the relative trace formula for the arithmetic Gan--Gross--Prasad conjecture for the unitary group U(V). The linear factor in this relative trace formula provides an SL_2-symmetry which allows us to prove by induction the arithmetic fundamental lemma over Q_p when p is odd and p ≥ dim V.
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  title={Weil representation and arithmetic fundamental lemma},
  author={Zhang Wei},
  booktitle={Annals of Mathematics},
Zhang Wei. Weil representation and arithmetic fundamental lemma. 2021. Vol. 193. In Annals of Mathematics. pp.863-978. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220317163315218213000.
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