Zero-dimensional affine Deligne--Lusztig varieties

Xuhua He, Sian Nie, Qingchao Yu

In this paper, we study the affine Deligne--Lusztig variety $X(\mu ,b{)}_K$ and classify all quadruples $(\mathbf{G},\mu ,b,K)$ with $\dim X(\mu ,b{)}_K=0$. This question was first asked by…