学术报告
数学科学学院
报告题目：
On a mathematical formulation of SYZ conjecture
报告人：
袁航（北京雁栖湖应用数学研究院）
报告时间：
2024年11月14日 10：00-11：00
报告地点：
物质科研楼C1124
报告摘要：
Given a Lagrangian fibration, we propose that the dual torus fibration, for a precise formulation of the SYZ conjecture, should be interpreted as a non-Archimedean torus fibration defined over the Novikov field. This proposal comes from a toy model of the SYZ duality between the complex logarithm map and the non-Archimedean tropicalization map. Both are viewed as torus fibrations over Euclidean space, equipped with the trivial integral affine structure. A canonical globalization of this toy model from A-side to B-side, which preserves the integral affine structure, is constructed via (family) Floer theory applied to the family of Lagrangian fibers. Time permitting, we will briefly explain some basic aspects of non-archimedean geometry, explore explicit SYZ examples with extensions to singular fibers, and discuss relevant applications to symplectic geometry.
计算机科学与技术学院
生命科学与医学部
管理学院
人文与社会科学学院
马克思主义学院
为深入学习宣传贯彻党的二十大精神，本学期开设系列专题讲座，作为“习近平新时代中国特色社会主义思想概论”课和“形势与政策”课的重要组成部分。
