[{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1810.07039"}],"language":[{"iso":"eng"}],"oa":1,"publisher":"AMS","title":"A colimit of traces of reflection groups","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"}],"project":[{"grant_number":"320593","name":"Arithmetic and physics of Higgs moduli spaces","_id":"25E549F4-B435-11E9-9278-68D0E5697425"}],"type":"journal_article","publication_status":"published","date_updated":"2019-11-14T08:43:44Z","intvolume":" 147","year":"2019","external_id":{"arxiv":["1810.07039"]},"status":"public","quality_controlled":"1","department":[{"_id":"TaHa"}],"volume":147,"oa_version":"Preprint","day":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication":"Proceedings of the American Mathematical Society","publication_identifier":{"issn":["0002-9939","1088-6826"]},"page":"4597-4604","article_type":"original","_id":"6986","date_created":"2019-11-04T16:10:50Z","citation":{"ista":"Li P. 2019. A colimit of traces of reflection groups. Proceedings of the American Mathematical Society. 147(11), 4597–4604.","ieee":"P. Li, “A colimit of traces of reflection groups,” *Proceedings of the American Mathematical Society*, vol. 147, no. 11, pp. 4597–4604, 2019.","apa":"Li, P. (2019). A colimit of traces of reflection groups. *Proceedings of the American Mathematical Society*, *147*(11), 4597–4604. https://doi.org/10.1090/proc/14586","chicago":"Li, Penghui. “A Colimit of Traces of Reflection Groups.” *Proceedings of the American Mathematical Society* 147, no. 11 (2019): 4597–4604. 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.","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"},"date_published":"2019-11-01T00:00:00Z","author":[{"full_name":"Li, Penghui","last_name":"Li","first_name":"Penghui","id":"42A24CCC-F248-11E8-B48F-1D18A9856A87"}],"month":"11","issue":"11","doi":"10.1090/proc/14586"}]