---
_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
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. Proceedings of the American
Mathematical Society. 2019;147(11):4597-4604. doi:10.1090/proc/14586
apa: Li, P. (2019). A colimit of traces of reflection groups. Proceedings of
the American Mathematical Society. AMS. https://doi.org/10.1090/proc/14586
chicago: Li, Penghui. “A Colimit of Traces of Reflection Groups.” Proceedings
of the American Mathematical Society. AMS, 2019. https://doi.org/10.1090/proc/14586.
ieee: P. Li, “A colimit of traces of reflection groups,” Proceedings of the American
Mathematical Society, 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.” Proceedings of
the American Mathematical Society, vol. 147, no. 11, AMS, 2019, pp. 4597–604,
doi:10.1090/proc/14586.
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'
...