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