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arXiv · 2302.03203

On affine Lusztig varieties

Xuhua He
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Abstract

Affine Lusztig varieties encode the orbital integrals of Iwahori--Hecke functions and serve as building blocks for the (conjectural) theory of affine character sheaves. We establish a close relationship between affine Lusztig varieties and affine Deligne--Lusztig varieties. Consequently, we give an explicit nonemptiness pattern and dimension formula for affine Lusztig varieties in most cases.

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Xuhua He. 2023-02-07. On affine Lusztig varieties. https://arxiv.org/abs/2302.03203

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