Authors formulate arithmetic transfer conjectures at parahoric levels, prove their graph versions via quasi-canonical AFL, relate some to prior Hecke algebra work, prove simple cases, and verify Kudla-Rapoport conjectures on an integral model of a Rapoport-Zink tower.
Hermitian forms over local fields , Amer
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Quasi-canonical AFL and Arithmetic Transfer conjectures at parahoric levels
Authors formulate arithmetic transfer conjectures at parahoric levels, prove their graph versions via quasi-canonical AFL, relate some to prior Hecke algebra work, prove simple cases, and verify Kudla-Rapoport conjectures on an integral model of a Rapoport-Zink tower.