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arXiv:2212.06670 [math.RT]AbstractReferencesReviewsResources

On the dimension of some union of affine Deligne-Lusztig varieties

Arghya Sadhukhan

Published 2022-12-13Version 1

In this paper, we consider certain union $X(\mu,b)$ of affine Deligne-Lusztig varieties in the affine flag variety that arises in the study of mod-$p$ reduction of Rapoport-Zink spaces and moduli spaces of shtukas associated to a connected reductive group. Under a mild hypothesis on $\mu$, but no further restrictions on the group, we compute its dimension in the case where $b$ is the maximal neutrally acceptable element.

Comments: Preliminary version, comments welcome! arXiv admin note: text overlap with arXiv:2107.14461 by other authors
Categories: math.RT, math.AG, math.NT
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