时间：2023年10月11日（星期三）15:00
地点：西湖大学云谷校区E4-201
主讲人：理论开云app官网下载安卓 院 魏传豪博士
报告题目:Bott Vanishings and applications to Hodge theory on toroidal embedding
报告摘要:
We revise the Bott Vanishing on projective toric varieties by giving it an alternative proof with a condition that is compatible with the condition of Kawamata-Viehweg Vanishing. This proof can also be adapted to generalize Bott Vanishing to the singular and local settings, and the one using mixed Hodge modules. We also use these vanishings to give us better understanding of the Hodge theory on toroidal embedding, including the degeneration of Hodge-de Rham spectral sequence. Lastly, we give a counter-example towards the local Bott Vanishing for birational morphisms.
