Recently with Yongbin Ruan, we have investigated the mirror symmetry of some singular fibres in the Hitchin fibration. In my thesis, I studied the cohomology of character varieties by counting points over finite fields.
(Pre)-Publications
(Pre)-Publications
Mirror of Orbifold Singularities in the Hitchin Fibration: the case (SLn,PGLn)
(with Yongbin Ruan) preprint, arXiv
E-Polynomials of Generic GLn<sigma>-Character Varieties: Unbranched Case
preprint, arXiv
E-Polynomials of Generic GLn<sigma>-Character Varieties: Branched Case
2023, Forum of Math. Sigma, arXiv Journal
The Character table of GLn<sigma>
2022, Advances in Mathematics, arXiv Journal
On Character Varieties with Non-Connected Structure Groups
Thesis
Thesis
E-Polynomial of GLn<sigma>-Character Varieties
2020, Université Paris Cité