9-18【Pengfei Huang】The geometry of de Rham moduli spaces

Time:2026-09-15Views:10

Speaker: Pengfei Huang (Nanjing University)

Time: 10:00, Sep 18, 2026

Venue: room 307, the Fifth Teaching Building



The natural action of the multiplicative group on the Dolbeault moduli space of Higgs bundles extends to an action on the Hodge moduli space of $\lambda$-flat bundles. When restricted to a general fiber, this action induces a stratification of the de Rham moduli space of flat bundles, thereby providing a way to detect its geometry. In this talk, we will introduce some conjectures proposed by Simpson, together with recent progress toward resolving or disproving them.