---
_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."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Tamas
  full_name: Hausel, Tamas
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
- first_name: Martin
  full_name: Mereb, Martin
  id: 43D735EE-F248-11E8-B48F-1D18A9856A87
  last_name: Mereb
- first_name: Michael
  full_name: Wong, Michael
  last_name: Wong
citation:
  ama: Hausel T, Mereb M, Wong M. Arithmetic and representation theory of wild character
    varieties. <i>Journal of the European Mathematical Society</i>. 2019;21(10):2995-3052.
    doi:<a href="https://doi.org/10.4171/JEMS/896">10.4171/JEMS/896</a>
  apa: Hausel, T., Mereb, M., &#38; Wong, M. (2019). Arithmetic and representation
    theory of wild character varieties. <i>Journal of the European Mathematical Society</i>.
    European Mathematical Society. <a href="https://doi.org/10.4171/JEMS/896">https://doi.org/10.4171/JEMS/896</a>
  chicago: Hausel, Tamás, Martin Mereb, and Michael Wong. “Arithmetic and Representation
    Theory of Wild Character Varieties.” <i>Journal of the European Mathematical Society</i>.
    European Mathematical Society, 2019. <a href="https://doi.org/10.4171/JEMS/896">https://doi.org/10.4171/JEMS/896</a>.
  ieee: T. Hausel, M. Mereb, and M. Wong, “Arithmetic and representation theory of
    wild character varieties,” <i>Journal of the European Mathematical Society</i>,
    vol. 21, no. 10. European Mathematical Society, pp. 2995–3052, 2019.
  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.
  mla: Hausel, Tamás, et al. “Arithmetic and Representation Theory of Wild Character
    Varieties.” <i>Journal of the European Mathematical Society</i>, vol. 21, no.
    10, European Mathematical Society, 2019, pp. 2995–3052, doi:<a href="https://doi.org/10.4171/JEMS/896">10.4171/JEMS/896</a>.
  short: T. Hausel, M. Mereb, M. Wong, Journal of the European Mathematical Society
    21 (2019) 2995–3052.
date_created: 2018-12-11T11:46:29Z
date_published: 2019-10-01T00:00:00Z
date_updated: 2023-08-24T14:24:49Z
day: '01'
department:
- _id: TaHa
doi: 10.4171/JEMS/896
ec_funded: 1
external_id:
  arxiv:
  - '1604.03382'
  isi:
  - '000480413600002'
intvolume: '        21'
isi: 1
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1604.03382
month: '10'
oa: 1
oa_version: Preprint
page: 2995-3052
project:
- _id: 25E549F4-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '320593'
  name: Arithmetic and physics of Higgs moduli spaces
publication: Journal of the European Mathematical Society
publication_identifier:
  eissn:
  - 1435-9855
publication_status: published
publisher: European Mathematical Society
publist_id: '7384'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Arithmetic and representation theory of wild character varieties
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 21
year: '2019'
...