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

20 May 2020  ·  He Xuhua, Yu Qingchao ·

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 $\mu$...

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Algebraic Geometry Number Theory Representation Theory