On the arithmetic transfer conjecture for exotic smooth formal moduli spaces

M. Rapoport University of Bonn B. Smithling Johns Hopkins University Wei Zhang Columbia university

Number Theory mathscidoc:1703.24016

In the relative trace formula approach to the arithmetic Gan–Gross–Prasad conjecture, we formulate a local conjecture (arithmetic transfer) in the case of an exotic smooth formal moduli space of p-divisible groups, associated to a unitary group relative to a ramified quadratic extension of a p-adic field. We prove our conjecture in the case of a unitary group in three variables.
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@inproceedings{m.on,
  title={On the arithmetic transfer conjecture for exotic smooth formal moduli spaces},
  author={M. Rapoport, B. Smithling, and Wei Zhang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170315103159184192716},
  booktitle={Duke Math. J.},
}
M. Rapoport, B. Smithling, and Wei Zhang. On the arithmetic transfer conjecture for exotic smooth formal moduli spaces. In Duke Math. J.. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170315103159184192716.
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