---
_id: '6986'
abstract:
- lang: eng
  text: '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. '
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Penghui
  full_name: Li, Penghui
  id: 42A24CCC-F248-11E8-B48F-1D18A9856A87
  last_name: Li
citation:
  ama: Li P. A colimit of traces of reflection groups. <i>Proceedings of the American
    Mathematical Society</i>. 2019;147(11):4597-4604. doi:<a href="https://doi.org/10.1090/proc/14586">10.1090/proc/14586</a>
  apa: Li, P. (2019). A colimit of traces of reflection groups. <i>Proceedings of
    the American Mathematical Society</i>. AMS. <a href="https://doi.org/10.1090/proc/14586">https://doi.org/10.1090/proc/14586</a>
  chicago: Li, Penghui. “A Colimit of Traces of Reflection Groups.” <i>Proceedings
    of the American Mathematical Society</i>. AMS, 2019. <a href="https://doi.org/10.1090/proc/14586">https://doi.org/10.1090/proc/14586</a>.
  ieee: P. Li, “A colimit of traces of reflection groups,” <i>Proceedings of the American
    Mathematical Society</i>, vol. 147, no. 11. AMS, pp. 4597–4604, 2019.
  ista: Li P. 2019. A colimit of traces of reflection groups. Proceedings of the American
    Mathematical Society. 147(11), 4597–4604.
  mla: Li, Penghui. “A Colimit of Traces of Reflection Groups.” <i>Proceedings of
    the American Mathematical Society</i>, vol. 147, no. 11, AMS, 2019, pp. 4597–604,
    doi:<a href="https://doi.org/10.1090/proc/14586">10.1090/proc/14586</a>.
  short: P. Li, Proceedings of the American Mathematical Society 147 (2019) 4597–4604.
date_created: 2019-11-04T16:10:50Z
date_published: 2019-11-01T00:00:00Z
date_updated: 2023-09-05T12:22:21Z
day: '01'
department:
- _id: TaHa
doi: 10.1090/proc/14586
ec_funded: 1
external_id:
  arxiv:
  - '1810.07039'
  isi:
  - '000488621700004'
intvolume: '       147'
isi: 1
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1810.07039
month: '11'
oa: 1
oa_version: Preprint
page: 4597-4604
project:
- _id: 25E549F4-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '320593'
  name: Arithmetic and physics of Higgs moduli spaces
publication: Proceedings of the American Mathematical Society
publication_identifier:
  eissn:
  - 1088-6826
  issn:
  - 0002-9939
publication_status: published
publisher: AMS
quality_controlled: '1'
scopus_import: '1'
status: public
title: A colimit of traces of reflection groups
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 147
year: '2019'
...