| Résume | Affine Deligne-Lusztig varieties are a generalisation of the sets of geometric points of Rapoport-Zink spaces, or of moduli spaces of local G-shtukas. In this talk I will explain joint work with M. Chen and M. Kisin on how to define and determine their sets of connected components. These results have applications on the realisation of local Langlands correspondences in the cohomology of Rapoport-Zink spaces (due to Chen), and on the study of the mod p points of Shimura varieties of Hodge type (by Kisin). |
