中国科学院数学与系统科学研究院
数学研究所
学术报告
代数几何系列讲座
Speaker: 戚鲁（华东师范大学）
Title: Algebraic K-stability of Fano varieties
Time&Venue: 2024.11.20（星期三）09:00-10:00 & 思源楼S 813
Abstract: This is a pre-talk for a series on the algebraic K-stability of Fano varieties. We collect some preliminaries from the theory of valuations and Okounkov bodies and birational geometry, and give a brief overview of the algebro-geometric study of K-stability.
报告人简介：戚鲁，现任华东师范大学紫江青年学者，北京大学学士，普林斯顿大学博士, 导师为许晨阳教授。研究方向为代数几何，如K稳定性和奇点理论，相关成果发表于Amer. J. Math.、J. Algebraic Geom.、Compos. Math.等期刊。
Title: Valuative criterion for K-stability
Time&Venue: 2024.11.20（星期三）10:30-11:30 & 思源楼S 813
Abstract: In this talk, we discuss the relation between test configurations and valuations, and introduce Fujita-Li’s valuative criterion for K-stability.
Title: Valuative criterion for K-stability
Time&Venue: 2024.11.21（星期四）09:00-10:00 & 思源楼S 813
Abstract: In this talk, we discuss the relation between test configurations and valuations, and introduce Fujita-Li’s valuative criterion for K-stability.
Title: K-stability and singularities of the anticanonical divisor
Time&Venue: 2024.11.21（星期四）10:30-11:30 & 思源楼S 813
Abstract: In this talk, we recall Tian’s alpha invariant and the delta invariant of Fano varieties, and discuss the criteria for K-stability using these invariants.
Title: K-stability, Ding stability and filtrations
Time&Venue: 2024.11.22（星期五）13:00-14:00 & 思源楼S 813
Abstract: In this talk, we discuss the relation between filtrations, test configurations and valuations. This allows us to prove a few theorems from the prior talks.
Title: Higher rank finite generation and beyond
Time&Venue: 2024.11.22（星期五）16:30-17:30 & 思源楼S 813
Abstract: In this talk, we briefly go through the higher rank finite generation as well as a few further topics in the field, including K-moduli, local volumes and explicit K-stability.
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