| Résume | Affine Deligne-Lusztig varieties are analogs of usual Deligne-Lusztig varieties in the context of an affine root system. They are subvarieties of affine Grassmannians or (partial) affine flag varieties, and arise naturally in the study of the reduction of Shimura varieties. Very little about their properties is known so far. In my talk, I will discuss recent results obtained jointly with Haines, Kottwiz and Reuman about basic properties such as the dimension in the case of the full flag variety. |
