Abstract
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 -divisible groups, associated to a unitary group relative to a ramified quadratic extension of a -adic field. We prove our conjecture in the case of a unitary group in three variables.
Citation
M. Rapoport. B. Smithling. W. Zhang. "On the arithmetic transfer conjecture for exotic smooth formal moduli spaces." Duke Math. J. 166 (12) 2183 - 2336, 1 September 2017. https://doi.org/10.1215/00127094-2017-0003
Information