Minimal Reduction Type and Affine Springer Fibers

Published 7 Apr 2025 in math.RT | (2504.05113v1)

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

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