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arXiv · 2504.05113

Minimal Reduction Type and Affine Springer Fibers

Anlong Chua
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Abstract

We extend a result of Yun on minimal reduction types to the parahoric case. This implies a uniqueness property for 2-special representations appearing in the cohomology of certain affine Springer fibers. Using this, we settle a conjecture of Lusztig on strata in a reductive group.

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Anlong Chua. 2025-04-07. Minimal Reduction Type and Affine Springer Fibers. https://arxiv.org/abs/2504.05113

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