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