TY - JOUR AB - This is a survey article that advertises the idea that there should exist a theory of p-adic local analogues of Shimura varieties. Prime examples are the towers of rigid-analytic spaces defined by Rapoport–Zink spaces, and we also review their theory in the light of this idea. We also discuss conjectures on the ℓ-adic cohomology of local Shimura varieties. AU - Rapoport, Michael AU - Rapoport, M. AU - Viehmann, Eva DA - 2014 LA - eng IS - Münster Journal of Mathematics M2 - 273 PY - 2014 SP - 273-326 T2 - Münster Journal of Mathematics TI - Towards a theory of local Shimura varieties UR - https://nbn-resolving.org/urn:nbn:de:hbz:6-22359593059 Y2 - 2024-11-22T12:36:05 ER -