On affine Lusztig varieties
Representation Theory
2024-10-10 v3 Algebraic Geometry
Number Theory
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.
Cite
@article{arxiv.2302.03203,
title = {On affine Lusztig varieties},
author = {Xuhua He},
journal= {arXiv preprint arXiv:2302.03203},
year = {2024}
}
Comments
20 pages, to appear in Annales scientifiques de l'\'Ecole normale sup\'erieure