学术报告（黄鹏飞 2025.8.26）

摘要：The celebrated Simpson’s tame nonabelian Hodge correspondence shows that the appropriate topological objects from the Betti side are the so-called filtered local systems, which are local systems with monodromy-preserving weighted filtrations assigned to boundary divisors. However, such tame nonabelian Hodge correspondence was only known at the level of categories until recently, due to the lack of a construction of the moduli spaces of filtered local systems. In this talk, we will introduce filtered local systems and demonstrate a purely algebro-geometric construction of their moduli spaces. This method is applicable to general reductive groups as the structure groups. This is a joint work with Hao Sun.