[{"volume":147,"date_published":"2019-11-01T00:00:00Z","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. "}],"_id":"6986","external_id":{"arxiv":["1810.07039"]},"quality_controlled":"1","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","type":"journal_article","publication_identifier":{"issn":["0002-9939","1088-6826"]},"oa":1,"publication":"Proceedings of the American Mathematical Society","year":"2019","language":[{"iso":"eng"}],"intvolume":" 147","department":[{"_id":"TaHa"}],"issue":"11","publisher":"AMS","project":[{"grant_number":"320593","call_identifier":"FP7","name":"Arithmetic and physics of Higgs moduli spaces","_id":"25E549F4-B435-11E9-9278-68D0E5697425"}],"publication_status":"published","title":"A colimit of traces of reflection groups","day":"01","author":[{"id":"42A24CCC-F248-11E8-B48F-1D18A9856A87","first_name":"Penghui","last_name":"Li","full_name":"Li, Penghui"}],"citation":{"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.","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","ista":"Li P. 2019. A colimit of traces of reflection groups. Proceedings of the American Mathematical Society. 147(11), 4597–4604.","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.","short":"P. Li, Proceedings of the American Mathematical Society 147 (2019) 4597–4604.","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.","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"},"oa_version":"Preprint","scopus_import":1,"doi":"10.1090/proc/14586","date_updated":"2021-01-12T08:11:20Z","ec_funded":1,"month":"11","page":"4597-4604","date_created":"2019-11-04T16:10:50Z","main_file_link":[{"url":"https://arxiv.org/abs/1810.07039","open_access":"1"}],"status":"public"}]