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math.NT2026
Quasi-canonical AFL and Arithmetic Transfer conjectures at parahoric levels
Chao Li, Michael Rapoport, Wei Zhang
In the first part of the paper, we formulate several arithmetic transfer conjectures, which are variants of the arithmetic fundamental lemma conjecture in the presence of ramificat…
math.NT2025
More regular formal moduli spaces and arithmetic transfer conjectures: the ramified quadratic case
Yu Luo, Michael Rapoport, Wei Zhang
For unitary groups associated to a ramified quadratic extension of a -adic field, we define various regular formal moduli spaces of -divisible groups with parahoric levels, c…
math.NT2025
Shimura varieties and gerbes
Robert P. Langlands, Michael Rapoport
This is the English translation, done by Yihang Zhu, of the paper by Langlands and Rapoport, originally published in J. Reine Angew. Math. 378 (1987), pages 113-220. The translator…