The dimension of affine Deligne-Lusztig varieties in the affine Grassmannian of unramified groups

Abstract

In this paper we calculate the dimension of affine Deligne-Lusztig varieties in the affine Grassmannian of unramified groups. We also examine the irreducible components of ADLVs in the superbasic case and the $J_b(F)$-action on them.

24 pages, v2: Corrected typos and added details in the calculations

References in corpus (1)

• A guide to the reduction modulo p of Shimura varieties

Cited by in corpus (2)

• Irreducible components of minuscule affine Deligne-Lusztig varieties
• Affine Grassmannians and the geometric Satake in mixed characteristic