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3rd NAGC Day 1 Chuanhao Wei: Kodaira-type vanishings via Nonabelian Hodge Theory
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Date: 2022/07/18 Speaker: Chuanhao Wei (Westlake University) Title: Kodaira-type vanishings via Nonabelian Hodge Theory Abstract: In the past decade, Mochizuki has completed the spectacular theory of mixed Twistor D-modules. In this talk, I will first briefly introduce this result. Then, I will show that Kodaira-type vanishing still holds under the setting of mixed Twistor D-modules, which generalizes Saito vanishing under the setting of mixed Hodge Modules. I will also introduce a relative version and a version of Kawamata-Viehweg vanishing with Q-divisors, under this general setting. Both of them seem to be new even in the mixed Hodge Modules setting.
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