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arXiv · 1511.04677

Connected components of closed affine Deligne-Lusztig varieties in affine Grassmannians

Sian Nie
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Abstract

We determine the set of connected components of closed affine Deligne-Lusztig varieties for hyperspecial maximal parahoric subgroups of unramified connected reductive groups. This extends the work by Viehmann for split reductive groups, and the work by Chen-Kisin-Viehmann on minuscule affine Deligne-Lusztig varieties.

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Sian Nie. 2015-11-15. Connected components of closed affine Deligne-Lusztig varieties in affine Grassmannians. https://arxiv.org/abs/1511.04677

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