#### Vol. 12, No. 7, 2018

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Irreducible components of minuscule affine Deligne–Lusztig varieties

### Paul Hamacher and Eva Viehmann

Vol. 12 (2018), No. 7, 1611–1634
##### Abstract

We examine the set of ${J}_{b}\left(F\right)$-orbits in the set of irreducible components of affine Deligne–Lusztig varieties for a hyperspecial subgroup and minuscule coweight $\mu$. Our description implies in particular that its number of elements is bounded by the dimension of a suitable weight space in the Weyl module associated with $\mu$ of the dual group.

##### Keywords
affine Deligne–Lusztig variety, Rapoport–Zink spaces, affine Grassmannian
Primary: 14G35
Secondary: 20G25