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