报告人： 张子宇 副教授

报告题目： Explicit Degenerations of Hyperkähler Manifolds

时间： 2026年10月16日 15:30—16:30

地点： 西安交通大学主楼A-303

邀请人： 司飞 助理教授

报告摘要：

Degenerations of K3 surfaces are well understood, thanks to the seminal work of Kulikov and Pinkham–Persson. Hyperkähler manifolds can be viewed as higher-dimensional analogues of K3 surfaces. Theoretical aspects of their degenerations have been studied by Kollár–Laza–Saccà–Voisin, whose work generalizes the classical theory for K3 surfaces.

In this talk, we apply the technique of expanded degenerations, developed by Jun Li, to construct explicit type II degeneration families for two important classes of hyperkähler manifolds: Hilbert schemes of points on K3 surfaces and generalized Kummer varieties. We will give a moduli interpretation of these families and describe the associated dual complexes of their degenerate fibers. This is based on an earlier joint work with M. Gulbrandsen, L. H. Halle, and K. Hulek, and a recent joint work with L. H. Halle, and K. Hulek.

报告人简介：

张子宇，上海科技大学数学研究所副教授。2009年在斯坦福大学获得数学博士学位，师从李骏教授，曾在波恩、美因茨、巴斯和汉诺威从事博士后研究。

主要研究方向为代数几何，尤其关注层模空间与全纯辛流形。已在 Compositio Mathematica、Advances in Mathematics、Journal of Algebraic Geometry 等国际知名数学期刊发表多篇学术论文。