[{"publisher":"American Mathematical Society","das_tickbox":"1","publication":"Proceedings of the American Mathematical Society","status":"public","arxiv":1,"month":"11","intvolume":"       147","publication_identifier":{"eissn":["1088-6826"],"issn":["0002-9939"]},"main_file_link":[{"url":"https://arxiv.org/abs/1810.07039","open_access":"1"}],"external_id":{"arxiv":["1810.07039"],"isi":["000488621700004"]},"author":[{"id":"42A24CCC-F248-11E8-B48F-1D18A9856A87","last_name":"Li","first_name":"Penghui","full_name":"Li, Penghui"}],"article_processing_charge":"No","title":"A colimit of traces of reflection groups","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","year":"2019","page":"4597-4604","volume":147,"date_published":"2019-11-01T00:00:00Z","oa_version":"Preprint","ec_funded":1,"language":[{"iso":"eng"}],"oa":1,"abstract":[{"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. ","lang":"eng"}],"scopus_import":"1","_id":"6986","issue":"11","date_updated":"2026-07-06T12:24:07Z","quality_controlled":"1","citation":{"ista":"Li P. 2019. A colimit of traces of reflection groups. Proceedings of the American Mathematical Society. 147(11), 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>","apa":"Li, P. (2019). A colimit of traces of reflection groups. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/14586\">https://doi.org/10.1090/proc/14586</a>","ieee":"P. Li, “A colimit of traces of reflection groups,” <i>Proceedings of the American Mathematical Society</i>, vol. 147, no. 11. American Mathematical Society, 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, American Mathematical Society, 2019, pp. 4597–604, doi:<a href=\"https://doi.org/10.1090/proc/14586\">10.1090/proc/14586</a>.","short":"P. Li, Proceedings of the American Mathematical Society 147 (2019) 4597–4604.","chicago":"Li, Penghui. “A Colimit of Traces of Reflection Groups.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2019. <a href=\"https://doi.org/10.1090/proc/14586\">https://doi.org/10.1090/proc/14586</a>."},"doi":"10.1090/proc/14586","department":[{"_id":"TaHa"}],"type":"journal_article","publication_status":"published","date_created":"2019-11-04T16:10:50Z","isi":1,"day":"01","project":[{"_id":"25E549F4-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","name":"Arithmetic and physics of Higgs moduli spaces","grant_number":"320593"}],"article_type":"original"}]