讲座预告 | “数”说前沿论坛第十四期
报告时间：2026年4月10日 14:00
预期地点：立德楼712
报告名称：Moduli of K3 Surfaces via Log Fano Pairs: The Hassett-Keel-Looijenga Program
报告摘要：
The Hassett-Keel program successfully describes the birational geometry of the moduli space of curves by varying stability conditions. Its higher-dimensional analogue for K3 surfaces—the Hassett-Keel-Looijenga (HKL) program—predicts a similar "wall-crossing" structure connecting Geometric Invariant Theory (GIT), Baily-Borel, and KSBA compactifications. However, confirming these predictions has remained a central challenge due to the lack of a unified stability framework.
In this talk, I will demonstrate a concrete realization of the HKL program by studying boundary polarized Calabi-Yau pairs. This framework allows us to interpolate between K-stability (in the log Fano regime) and KSBA stability (in the general type regime). I will show how this bridge yields an explicit description of the birational geometry for moduli of K3 surfaces with anti-symplectic involution (specifically via log del Pezzo pairs), which provides a verification of the HKL predictions for these families.
专家简介：
吴昊宇博士，现任清华大学丘成桐数学科学中心博士后，师从盛茂教授；本科及博士均毕业于复旦大学数学专业，博士导师李志远教授。主要研究方向为代数几何，聚焦层的模空间、超凯勒簇、对数法诺配对、稳定性条件与概型导出范畴等领域。已在《Journal of the Institute of Mathematics of Jussieu》《Advances in Mathematics》等国际知名期刊发表多篇学术论文，并参与多项模空间双有理几何相关研究工作，同时具备丰富的代数几何相关课程教学与学术报告经验。
