Algebro-Geometric Construction of the Moduli Spaces of Filtered Local Systems
发布时间:2024年05月23日
浏览次数:648
发布者: Ruixin Li
主讲人: Pengfei Huang (Heidelberg University)
活动时间: 从 2024-05-29 10:00 到 11:00
场地: 北京国际数学研究中心,镜春园78号院(怀新园)78301室
Abstract: The celebrated Simpson’s tame nonabelian Hodge correspondence shows that the correct topological objects from the Betti side are the so-called filtered local systems, which are local systems with filtrations assigned to boundary divisors. However, such 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. Based on joint work with Hao Sun.