数学科学研究所
Insitute of Mathematical Science

Colloquium: On finiteness of K-moduli compactifications

Seminar| Institute of Mathematical Sciences

Time: Wednesday, November 5th, 2025,16:00-17:00

LocationRS408, IMS

Speaker: Chuyu Zhou (周楚宇), Xiamen University


Abstract: 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.

地址:上海市浦东新区华夏中路393号
邮编:201210
上海市徐汇区岳阳路319号8号楼
200031(岳阳路校区)