--- _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' ...