Kodaira-type and Bott-type vanishings via Hodge theory

Time：Wed., 10:00-11:00 am, Nov. 8, 2023

Venue：C654, Shuangqing Complex Building A

Organizer：Xiang He, Chenglong Yu, Dingxin Zhang, Jie Zhou

Speaker：Wei Chuanhao 魏传豪 Westlake University 西湖大学

Abstract：

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.

DATENovember 8, 2023

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