Arithmetic and representation theory of wild character varieties Journal Article


Author(s): Hausel, Tamás; Mereb, Martin; Wong, Michael L
Article Title: Arithmetic and representation theory of wild character varieties
Affiliation IST Austria
Abstract: 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 possibility of a P = W conjecture for a suitable wild Hitchin system.
Journal Title: Journal of the European Mathematical Society
ISSN: 1435-9863
Publisher: European Mathematical Society  
Date Published: 2018-01-01
Start Page: Preprint
URL:
Open access: yes (repository)
IST Austria Authors
  1. Tamás Hausel
    31 Hausel