报告题目：Kodaira-type vanishings via Nonabelian Hodge Theory
In the past decade, Mochizuki has completed the spectacular theory of mixed Twistor D-modules. In this talk, Dr. Chuanhao Wei will first briefly introduce this result. Then, he will show that Kodaira-type vanishing still holds under the setting of mixed Twistor D-modules, which generalizes Saito's vanishing under the setting of mixed Hodge Modules. Furthermore, Dr. Wei will also talk about a version of Kawamata-Viehweg vanishing, under this general setting.