Westlake Online Math Forum | Chuanhao Wei: From Hodge Theory to Hyper-Twistor Structures

2026-08-25 13:41:45

时间2026年9月2日(周三)14:00-15:30

地点:E14-116


主讲人:西湖大学 魏传豪

讲座主题:From Hodge Theory to Hyper-Twistor Structures

讲座摘要: After recalling classical Hodge theory and Simpson's nonabelian Hodge correspondence, I will introduce variations of hyper-twistor structures, which organize harmonic bundles and their extensions into an abelian tensor category. I will explain how natural symmetries yield a Hodge–Galois reconstruction and provide a new perspective on purity and decomposition for smooth proper direct images. No prior knowledge of twistor theory or dg-categories will be assumed.