Rapoport-Zink space

Local analogs of Shimura varieties.

- M. Rapoport, Th. Zink,
*Period spaces for $p$-divisible groups*, Annals of Mathematics Studies, vol. 141, Princeton University Press, Princeton, NJ, 1996.

Review of the first three sections of (Rapoport-Zink 96) is in

*Rapoport-Zink spaces*, lecture notes 2013 pdf

Further lecture notes include

*KIAS Intensive Lecture Series on Shimura varieties and Rapoport-Zink spaces*(web)

Further developments include

- Peter Scholze, Jared Weinstein,
*Moduli of p-divisible groups*(arXiv:1211.6357)

Comments on the relation to shtukas in view of the function field analogy are in

- Urs Hartl,
*A Dictionary between Fontaine-Theory and its Analogue in Equal Characteristic*(arXiv:math/0607182)