{"publication_identifier":{"eissn":["1088-6826"],"issn":["0002-9939"]},"volume":147,"oa":1,"_id":"6986","page":"4597-4604","date_updated":"2023-09-05T12:22:21Z","isi":1,"scopus_import":"1","title":"A colimit of traces of reflection groups","publication":"Proceedings of the American Mathematical Society","article_processing_charge":"No","article_type":"original","ec_funded":1,"date_published":"2019-11-01T00:00:00Z","citation":{"chicago":"Li, Penghui. “A Colimit of Traces of Reflection Groups.” *Proceedings of the American Mathematical Society*. AMS, 2019. https://doi.org/10.1090/proc/14586.","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. *Proceedings of the American Mathematical Society*. AMS. https://doi.org/10.1090/proc/14586","short":"P. Li, Proceedings of the American Mathematical Society 147 (2019) 4597–4604.","mla":"Li, Penghui. “A Colimit of Traces of Reflection Groups.” *Proceedings of the American Mathematical Society*, vol. 147, no. 11, AMS, 2019, pp. 4597–604, doi:10.1090/proc/14586.","ieee":"P. Li, “A colimit of traces of reflection groups,” *Proceedings of the American Mathematical Society*, vol. 147, no. 11. AMS, pp. 4597–4604, 2019.","ama":"Li P. A colimit of traces of reflection groups. *Proceedings of the American Mathematical Society*. 2019;147(11):4597-4604. doi:10.1090/proc/14586"},"status":"public","month":"11","external_id":{"isi":["000488621700004"],"arxiv":["1810.07039"]},"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. "}],"quality_controlled":"1","language":[{"iso":"eng"}],"year":"2019","issue":"11","publication_status":"published","publisher":"AMS","date_created":"2019-11-04T16:10:50Z","department":[{"_id":"TaHa"}],"intvolume":" 147","oa_version":"Preprint","day":"01","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"}],"type":"journal_article","author":[{"first_name":"Penghui","full_name":"Li, Penghui","id":"42A24CCC-F248-11E8-B48F-1D18A9856A87","last_name":"Li"}],"doi":"10.1090/proc/14586","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1"}