中科院数学与系统科学研究院
数学研究所
学术报告
代数几何研讨班
报告人：魏传豪（西湖大学）
题 目：The algebraic incarnations of the Artin Vanishing
时 间：2022.11.10（星期四）15:00-16:00
地 点：腾讯会议：881-616-850
摘 要：The non-abelian Hodge theory, briefly can be viewed as building a correspondence between certain topological objects, analytic objects, and algebraic objects. In this talk, I will show that Kodaira-type vanishing can be viewed as the algebraic side of the Artin Vanishing. Such vanishing generalizes Saito vanishing and Kawamata-Viehweg vanishing. I will also introduce an effective global generalization theorem on semistable vector bundles with vanishing chern classes, as an application.