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