Monodromy representations from hyperplane arrangements

par Jinxing Xu (University of Science and Technology of China)

jeudi 7 nov. 2024, 10:30 → 11:30 Europe/Paris

Given a hyperplane arrangement in general position, we can construct the double cover of the projective space ramified along this hyperplane arrangement. As the hyperplane arrangement varies, we get a family of projective varieties which generalizes the family of hyperelliptic curves. I will discuss the monodromy representations of this family, from both the complex and mod l side. This is based on a joint work with Xiaopeng Xia.