中科院数学与系统科学研究院
数学研究所
代数几何研讨班
Speaker：黄鹏飞（Max-Planck-Institut for Mathematics）
Title：Filtered local systems and their moduli spaces
Language: Chinese
Time & Venue:2024.05.27（星期一），14:45-15:45南楼 820
Abstract: The celebrated Simpson’s tame nonabelian Hodge correspondence shows that the correct objects from the Betti side are the so-called filtered local systems. 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 the construction of their moduli spaces. This method is applicable to general reductive groups. Based on joint work with Hao Sun.
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Speaker：孙浩（华南理工大学）
Title：Filtered Stokes G-Local Systems
Language: Chinese
Time & Venue:2024.05.27（星期一），16:00-17:00南楼 820
Abstract:The wild Riemann-Hilbert correspondence relates irregular singular connections with Stokes local systems. As a direct generalization, the correspondence also holds for reductive groups G. Based on the wild Riemann-Hilbert correspondence, I will discuss Stokes G-local systems (or Stokes G-representations) together with its moduli space in the viewpoint of nonabelian Hodge correspondence. This is joint work with Pengfei Huang.
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