ON THE ARITHMETIC TRANSFER CONJECTURE FOR EXOTIC SMOOTH FORMAL MODULI SPACES

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.