paper

Connected components of closed affine Deligne-Lusztig varieties in affine Grassmannians

arXiv:1511.04677

Abstract

We determine the set of connected components of closed affine Deligne-Lusztig varieties for hyperspecial maximal parahoric subgroups of unramified connected reductive groups. This extends the work by Viehmann for split reductive groups, and the work by Chen-Kisin-Viehmann on minuscule affine Deligne-Lusztig varieties.

43 pages