Dimension formula of the affine Deligne-Lusztig variety $X(\mu ,b)$

Abstract

The study of certain union $X(\mu ,b)$ of affine Deligne-Lusztig varieties in the affine flag varieties arose from the study of Shimura varieties with Iwahori level structure. In this paper, we give an explicit formula of $\dim X(\mu ,b)$ for sufficiently large dominant coweight $\mu$.

15 pages

References in corpus (2)

• A guide to the reduction modulo p of Shimura varieties
• Cordial elements and dimensions of affine Deligne-Lusztig varieties