Irreducible symplectic varieties with a large second Betti number

：刘治宇（浙江大学）
：2025-12-11 10:30
：海韵园实验楼S204

报告人：刘治宇（浙江大学）

时  间：2025年12月11日10:30

地  点：海韵园实验楼S204

内容摘要:

Irreducible symplectic varieties are one of three building blocks of varieties with Kodaira dimension zero, which are higher-dimensional analogs of K3 surfaces. Despite their rich geometry, there have been only a limited number of approaches to construct irreducible symplectic varieties. In this talk, I will introduce a general criterion for the existence of irreducible symplectic compactifications of non-compact Lagrangian fibrations, based on the minimal model program and the geometry of Lagrangian tori. As an application, I will explain how to get a 42-dimensional irreducible symplectic variety with the second Betti number at least 24. This is a joint work with Yuchen Liu and Chenyang Xu.

个人简介：

刘治宇，浙江大学博士生，研究领域为代数几何与数学物理，研究论文发表在 J. Reine Angew. Math.、Compos. Math.、Proc. Lond. Math. Soc.、J. Math. Pures Appl.等期刊。

 

联系人：周楚宇