On the arithmetic transfer conjecture for exotic smooth formal moduli spaces
Number Theory
2017-10-18 v3 Algebraic Geometry
Representation Theory
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 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.
Cite
@article{arxiv.1503.06520,
title = {On the arithmetic transfer conjecture for exotic smooth formal moduli spaces},
author = {Michael Rapoport and Brian Smithling and Wei Zhang},
journal= {arXiv preprint arXiv:1503.06520},
year = {2017}
}
Comments
Minor revisions. 91 pages