活动时间：2024-10-22 15:00
活动地点：2号学院楼452
主讲人：刘治宇
主讲人中文简介：
刘治宇，浙江大学在读博士，导师为阮勇斌院士。研究方向为代数几何与数学物理，特别是代数簇的导出范畴，计数几何，以及超凯勒几何。已在《Journal des Mathématiques Pures et Appliquées》，《Journal of the London Mathematical Society》，《Mathematische Zeitschrift》等国际知名学术期刊上发表多篇论文。获得国家自然科学基金青年学生基础研究项目（博士生）资助。
活动内容摘要：
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 general fibers. As an application, I will explain how to get a 42-dimensional irreducible symplectic variety with the second Betti number at least 24, which belongs to a new deformation type. This is a joint work with Yuchen Liu and Chenyang Xu.
主持人：罗旻杰