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