Minimal Reduction Type and Affine Springer Fibers
Representation Theory
2025-04-08 v1
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.
Cite
@article{arxiv.2504.05113,
title = {Minimal Reduction Type and Affine Springer Fibers},
author = {Anlong Chua},
journal= {arXiv preprint arXiv:2504.05113},
year = {2025}
}