中科院数学与系统科学研究院
数学研究所
学术报告
多复变与复几何研讨班
报告人：魏传豪 研究员（西湖大学）
题 目：Kodaira-type and Bott-type vanishings via Hodge theory
时 间：2023.11.09（星期四）16:00-17:30
地 点：晨兴110
摘 要：I will first give a brief introduction to T. Mochizuki's Theory of twistor D-modules. Then, we use it to study Kodaira-type vanishings. In particular, we will generalize Saito vanishing, and give a Kawamata-Viehweg type statement. As an application, we will also prove a Bott-type Vanishing using M. Saito's mixed Hodge module.