X
+
-
重置
题目(Title):
On finiteness of K-moduli compactifications
主讲人(Speaker):
周楚宇
开始时间(Start Time):
2025-11-05 16:00
结束时间(End Time):
2025-11-05 17:00
报告地点(Place):
数学科学研究所408室
主办单位(Organization):
数学科学研究所
协办单位(Co-organizer):
简介(Brief Introduction):
主讲人学术背景:周楚宇,2020年在北京大学取得博士学位(导师:许晨阳教授),现为厦门大学数学科学学院副教授。周楚宇教授研究领域为代数几何,特别是Fano簇的K—模空间及其穿墙理论,已在 Geom. Topol, Adv. Math和Algebra Number Theory等国际数学杂志上发表多篇论文。
讲座题目:On finiteness of K-moduli compactifications
讲座摘要:Given a family of K-semistable log Fano manifolds with changeable coefficient, we hope that there are only finitely many K-moduli compactifications as we change the coefficient, which clearly implies the boundedness of K-semistable degenerations. In this talk, we will see that this boundedness is enough to establish the whole non-proportional wall crossing theory for K-stability, i.e. there is a finite semi-algebraic chamber decomposition to control the variation of K-(semi/poly)stability.
讲座题目:On finiteness of K-moduli compactifications
讲座摘要:Given a family of K-semistable log Fano manifolds with changeable coefficient, we hope that there are only finitely many K-moduli compactifications as we change the coefficient, which clearly implies the boundedness of K-semistable degenerations. In this talk, we will see that this boundedness is enough to establish the whole non-proportional wall crossing theory for K-stability, i.e. there is a finite semi-algebraic chamber decomposition to control the variation of K-(semi/poly)stability.

