Birational geometry of moduli spaces of K3 surfaces
发布时间：2021年12月27日
浏览次数：4646
发布者: Yu Feng
主讲人： 司飞（北京大学）
活动时间： 从 2021-12-31 10:00 到 11:30
场地： 北京国际数学研究中心，全斋全29教室
In the past few decades, compactifying the moduli spaces of projective K3 surfaces has attracted a lot attentions from several perspectives including Hodge theory, birational geometry, K¨ahler-Einstein geometry and mirror symmetry. It turns out we have the Baily-Borel compactification, Koll´ar-Shepherd-BarronAlexeev (KSBA) compactification, K-stability compactification etc. It is a natural question to ask what is the relation of these compactifications of different flavors. In this talk, we will explain how the Hassett-Keel-Looijenga (HKL) program try to put these compactifications into the framework of wall-crossing. This is based on joint work with Greer-Laza-Li-Tian.
