4 papers
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…
Toric schemes and integral models for Shimura varieties with -type level
Georgios Pappas, Michael Rapoport
We propose a conjectural theory of -integral models of Shimura varieties with level structure at given by a class of normal subgroups of parahoric subgroups with abelian quo…
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…
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…