中科院数学与系统科学研究院

数学研究所

代数几何研讨班

报告人： 周楚宇 博士（韩国延世大学）

题  目：K-semistable domain and wall crossing for K-stability

时  间：2023.09.19（星期一），14:00-15:00

地  点： 思源楼 803

摘  要：In this talk, we will define K-semistable domain of a pair consisting of a Fano variety and multiple boundaries. We will present many important properties of the K-semistable domain. Based on this, we will see a wall crossing theory for K-stability. Time permits, we will also talk about some interesting examples.

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报告人： 辛赫 讲师（渤海大学）

题  目：Some finiteness results on Oda's question

时  间：2023.09.25（星期一），14:30-15:30

腾讯会议： 353-912-838

摘  要：In this talk we will focus on a question asked by T. Oda in 1997 which concerns the surjectivity of the multiplication map of the zeroth cohomology of a pair of toric line bundles. Though an affirmative answer is known in dimension two the question is still widely open. I will explain how some positive results can be obtained in dimension three.