{"day":"01","scopus_import":"1","publist_id":"7384","intvolume":" 21","article_processing_charge":"No","external_id":{"arxiv":["1604.03382"],"isi":["000480413600002"]},"date_published":"2019-10-01T00:00:00Z","type":"journal_article","quality_controlled":"1","oa":1,"issue":"10","date_updated":"2023-08-24T14:24:49Z","publication_identifier":{"eissn":["1435-9855"]},"date_created":"2018-12-11T11:46:29Z","author":[{"full_name":"Hausel, Tamas","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","first_name":"Tamas","last_name":"Hausel"},{"last_name":"Mereb","full_name":"Mereb, Martin","first_name":"Martin","id":"43D735EE-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Wong","full_name":"Wong, Michael","first_name":"Michael"}],"ec_funded":1,"language":[{"iso":"eng"}],"citation":{"chicago":"Hausel, Tamás, Martin Mereb, and Michael Wong. “Arithmetic and Representation Theory of Wild Character Varieties.” Journal of the European Mathematical Society. European Mathematical Society, 2019. https://doi.org/10.4171/JEMS/896.","mla":"Hausel, Tamás, et al. “Arithmetic and Representation Theory of Wild Character Varieties.” Journal of the European Mathematical Society, vol. 21, no. 10, European Mathematical Society, 2019, pp. 2995–3052, doi:10.4171/JEMS/896.","short":"T. Hausel, M. Mereb, M. Wong, Journal of the European Mathematical Society 21 (2019) 2995–3052.","ista":"Hausel T, Mereb M, Wong M. 2019. Arithmetic and representation theory of wild character varieties. Journal of the European Mathematical Society. 21(10), 2995–3052.","apa":"Hausel, T., Mereb, M., & Wong, M. (2019). Arithmetic and representation theory of wild character varieties. Journal of the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/896","ieee":"T. Hausel, M. Mereb, and M. Wong, “Arithmetic and representation theory of wild character varieties,” Journal of the European Mathematical Society, vol. 21, no. 10. European Mathematical Society, pp. 2995–3052, 2019.","ama":"Hausel T, Mereb M, Wong M. Arithmetic and representation theory of wild character varieties. Journal of the European Mathematical Society. 2019;21(10):2995-3052. doi:10.4171/JEMS/896"},"publication_status":"published","publisher":"European Mathematical Society","page":"2995-3052","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","volume":21,"main_file_link":[{"url":"https://arxiv.org/abs/1604.03382","open_access":"1"}],"isi":1,"article_type":"original","month":"10","_id":"439","abstract":[{"lang":"eng","text":"We count points over a finite field on wild character varieties,of Riemann surfaces for singularities with regular semisimple leading term. The new feature in our counting formulas is the appearance of characters of Yokonuma–Hecke algebras. Our result leads to the conjecture that the mixed Hodge polynomials of these character varieties agree with previously conjectured perverse Hodge polynomials of certain twisted parabolic Higgs moduli spaces, indicating the\r\npossibility of a P = W conjecture for a suitable wild Hitchin system."}],"year":"2019","title":"Arithmetic and representation theory of wild character varieties","department":[{"_id":"TaHa"}],"publication":"Journal of the European Mathematical Society","project":[{"grant_number":"320593","_id":"25E549F4-B435-11E9-9278-68D0E5697425","name":"Arithmetic and physics of Higgs moduli spaces","call_identifier":"FP7"}],"status":"public","doi":"10.4171/JEMS/896","oa_version":"Preprint"}