∞
π Σ ∫ ∂ Δ √
Δ

学术报告

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