Penghui LiInstitute of Science and Technology Austria
Group Theory and Lie Theorymathscidoc:2205.17003
Proceedings of the AMS, 147, 2019.6
Li-Nadler proposed a conjecture about traces of Hecke categories, which implies the semistable part of the Betti geometric Langlands conjecture of Ben-Zvi-Nadler in genus 1. We prove a Weyl group analogue of this conjecture. Our theorem holds in the natural generality of reflection groups in Euclidean or hyperbolic space. As a corollary, we give an expression of the centralizer of a finite order element in a reflection group using homotopy theory.
@inproceedings{penghui2019a,
title={A colimit of traces of reflection groups},
author={Penghui Li},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220518143725007180267},
booktitle={Proceedings of the AMS},
volume={147},
year={2019},
}
Penghui Li. A colimit of traces of reflection groups. 2019. Vol. 147. In Proceedings of the AMS. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220518143725007180267.