[{"month":"11","publication_identifier":{"eissn":[],"issn":[]},"main_file_link":[{"url":"https://arxiv.org/abs/1810.07039","open_access":"1"}],"oa":1,"external_id":{"arxiv":[],"isi":[]},"isi":1,"quality_controlled":"1","project":[{"_id":"25E549F4-B435-11E9-9278-68D0E5697425","name":"Arithmetic and physics of Higgs moduli spaces","call_identifier":"FP7"}],"language":[{}],"ec_funded":1,"creator":{"id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","login":"dernst"},"publication_status":"published","department":[{"_id":"TaHa","tree":[{"_id":"ResearchGroups"},{"_id":"IST"}]}],"author":[{"id":"42A24CCC-F248-11E8-B48F-1D18A9856A87","last_name":"Li","first_name":"Penghui"}],"date_created":"2019-11-04T16:10:50Z","dini_type":"doc-type:article","date_updated":"2023-09-05T12:22:21Z","volume":147,"scopus_import":"1","dc":{"date":["2019"],"language":["eng"],"rights":["info:eu-repo/semantics/openAccess"],"source":["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"],"publisher":["AMS"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1090/proc/14586","info:eu-repo/semantics/altIdentifier/issn/0002-9939","info:eu-repo/semantics/altIdentifier/issn/1088-6826","info:eu-repo/semantics/altIdentifier/wos/000488621700004","info:eu-repo/semantics/altIdentifier/arxiv/1810.07039","info:eu-repo/grantAgreement/EC/FP7/320593"],"title":["A colimit of traces of reflection groups"],"creator":["Li, Penghui"],"identifier":["https://research-explorer.ista.ac.at/record/6986"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"description":["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. "]},"day":"01","uri_base":"https://research-explorer.ista.ac.at","article_processing_charge":"No","publication":"Proceedings of the American Mathematical Society","citation":{"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.","short":"P. Li, Proceedings of the American Mathematical Society 147 (2019) 4597–4604.","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","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."},"article_type":"original","page":"4597-4604","date_published":"2019-11-01T00:00:00Z","type":"journal_article","abstract":[{"lang":"eng"}],"issue":"11","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"6986","status":"public","intvolume":" 147","oa_version":"Preprint"}]