{"publication_status":"published","date_published":"2022-08-29T00:00:00Z","issue":"1","department":[{"_id":"TaHa"}],"abstract":[{"lang":"eng","text":"Let F be a global function field with constant field Fq. Let G be a reductive group over Fq. We establish a variant of Arthur's truncated kernel for G and for its Lie algebra which generalizes Arthur's original construction. We establish a coarse geometric expansion for our variant truncation.\r\nAs applications, we consider some existence and uniqueness problems of some cuspidal automorphic representations for the functions field of the projective line P1Fq with two points of ramifications."}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2109.10245","open_access":"1"}],"type":"journal_article","day":"29","month":"08","article_processing_charge":"No","date_updated":"2023-08-04T10:42:38Z","title":" A coarse geometric expansion of a variant of Arthur's truncated traces and some applications","quality_controlled":"1","status":"public","oa":1,"oa_version":"Preprint","date_created":"2023-04-02T22:01:11Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"Mathematical Sciences Publishers","scopus_import":"1","ec_funded":1,"citation":{"short":"H. Yu, Pacific Journal of Mathematics 321 (2022) 193–237.","ama":"Yu H.  A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications. <i>Pacific Journal of Mathematics</i>. 2022;321(1):193-237. doi:<a href=\"https://doi.org/10.2140/pjm.2022.321.193\">10.2140/pjm.2022.321.193</a>","apa":"Yu, H. (2022).  A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications. <i>Pacific Journal of Mathematics</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/pjm.2022.321.193\">https://doi.org/10.2140/pjm.2022.321.193</a>","ista":"Yu H. 2022.  A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications. Pacific Journal of Mathematics. 321(1), 193–237.","chicago":"Yu, Hongjie. “ A Coarse Geometric Expansion of a Variant of Arthur’s Truncated Traces and Some Applications.” <i>Pacific Journal of Mathematics</i>. Mathematical Sciences Publishers, 2022. <a href=\"https://doi.org/10.2140/pjm.2022.321.193\">https://doi.org/10.2140/pjm.2022.321.193</a>.","ieee":"H. Yu, “ A coarse geometric expansion of a variant of Arthur’s truncated traces and some applications,” <i>Pacific Journal of Mathematics</i>, vol. 321, no. 1. Mathematical Sciences Publishers, pp. 193–237, 2022.","mla":"Yu, Hongjie. “ A Coarse Geometric Expansion of a Variant of Arthur’s Truncated Traces and Some Applications.” <i>Pacific Journal of Mathematics</i>, vol. 321, no. 1, Mathematical Sciences Publishers, 2022, pp. 193–237, doi:<a href=\"https://doi.org/10.2140/pjm.2022.321.193\">10.2140/pjm.2022.321.193</a>."},"article_type":"original","language":[{"iso":"eng"}],"_id":"12793","doi":"10.2140/pjm.2022.321.193","page":"193-237","author":[{"full_name":"Yu, Hongjie","id":"3D7DD9BE-F248-11E8-B48F-1D18A9856A87","last_name":"Yu","first_name":"Hongjie","orcid":"0000-0001-5128-7126"}],"publication":"Pacific Journal of Mathematics","external_id":{"isi":["000954466300006"],"arxiv":["2109.10245"]},"publication_identifier":{"eissn":["1945-5844"],"issn":["0030-8730"]},"keyword":["Arthur–Selberg trace formula","cuspidal automorphic representations","global function fields"],"isi":1,"acknowledgement":"I’d like to thank Prof. Chaudouard for introducing me to this area. I’d like to thank Prof. Harris for asking me the question that makes Section 10 possible. I’m grateful for the support of Prof. Hausel and IST Austria. The author was funded by an ISTplus fellowship: This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411.","project":[{"call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships"}],"intvolume":"       321","volume":321,"year":"2022"}