Compactification of metric moduli space of K3 surfaces

2026-01-06 13:46:39

时间:2026年1月15日(星期四),9:00-10:00

地点:E14-212


主持人:理论科学研究院 朱锦天

主讲人:北京大学 欧阳泽轩

报告主题:Compactification of metric moduli space of K3 surfaces

语言:中文

报告摘要:In this talk, I will introduce our recently results on metric moduli space of K3 surfaces. I will present our proof of a conjecture of Odaka--Oshima, which says that there is an algebraic description of the Gromov--Hausdorff compactification of all unit-diameter hyperkähler metrics on K3 surfaces. As a corollary, we obtain a classification of the Gromov--Hausdorff limits of those hyperkähler K3 surfaces with a fixed complex structure or with a fixed polarization. This is joint work with Prof. Gang Tian.