中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

华罗庚青年数学论坛报告

Speaker: 赵俊焱（University of Maryland）

Inviter: 刘杰

Language: Chinese

Title：K-moduli of Fano threefolds

Time&Venue：2025年12月24日（星期三）10:00-11:00 & 南楼N818

Abstract: In this talk, I will show that the K-moduli space of Fano threefolds obtained by blowing up P^3 along (2, 3)-complete intersection curves is isomorphic to a VGIT moduli space studied by Casalaina-Martin-Jensen-Laza. In particular, it is a two-step birational modification of the GIT moduli space of (3, 3)-curves on P^1×P^1. Our strategy is the moduli continuity method with moduli of lattice-polarized K3 surfaces, general elephants and Sarkisov links as new ingredients. Based on joint work with Yuchen Liu.