81 citations · 271 across the 31 of their papers we have counts for
33 papers
Arithmetic Fundamental Lemma for the spherical Hecke algebra
Chao Li, Michael Rapoport, Wei Zhang
We define Hecke correspondences and Hecke operators on unitary RZ spaces and study their basic geometric properties, including a commutativity conjecture on Hecke operators. Then w…
On tamely ramified -bundles on curves
Georgios Pappas, Michael Rapoport
We consider parahoric Bruhat-Tits group schemes over a smooth projective curve and torsors under them. If the characteristic of the ground field is either zero or positive but not…
On integral local Shimura varieties
Georgios Pappas, Michael Rapoport
We give a construction of "integral local Shimura varieties" which are formal schemes that generalize the well-known integral models of the Drinfeld -adic upper half spaces. The…
p-adic shtukas and the theory of global and local Shimura varieties
Georgios Pappas, Michael Rapoport
We establish basic results on p-adic shtukas and apply them to the theory of local and global Shimura varieties, and on their interrelation. We construct canonical integral models…
On the p-adic uniformization of unitary Shimura curves
Stephen Kudla, Michael Rapoport, Thomas Zink
We prove -adic uniformization for Shimura curves attached to the group of unitary similitudes of certain binary skew hermitian spaces with respect to an arbitrary CM field $…
The work of Peter Scholze
Michael Rapoport
This is my laudation for Scholze's Fields medal 2018.