K-moduli spaces of del Pezzo surface pairs
数学专题报告
报告题目(Title)：K-moduli spaces of del Pezzo surface pairs
报告人(Speaker)：司飞 (北京国际数学研究中心)
地点(Place)：后主楼1124
时间(Time)：2023年4月26日(周三), 13:30-14:30
邀请人(Inviter)：张科伟
报告摘要
Via moduli method of K-stability, some Fano varieties that admit Kahler-Einstein metric can be classified. For example, the del pezzo surfaces by Odaka-Spotti-Sun and cubic 3-folds by Liu-Xu. In this talk, we focus on Fano pairs in dimension 2. That is, a pair (X,C) consists of a del pezzo surface X with a curve C linear equivalent to −2KX . We will give an explicit description of K-moduli space PcK parametrizing K-polystable pairs (X,cC) under the frame work of wall-crossing for K-moduli due to Ascher-DeVleming-Liu. More interestingly, by the double covering construction, we can show the K-moduli space PcK is related to Baily-Borel compactification of the moduli space of K3 surfaces with anti-symplectic involution. This is based on joint work with Long Pan and Haoyu Wu.
主讲人简介
Currently I am a posdoc at BICMR. I obtained my Phd from Shanghai Center for Mathematical Sciences in 2021. My research interest foucus on moduli space in algebraic geometry and related topics. Recently I work on some K-moduli problems.
