Westlake Math Colloquium第三十八期 | Hang Yuan: Family Floer SYZ conjecture and examples

2023-06-02 09:09:00


地点:云谷校区E4-201 & ZOOM

ZOOM ID: 952 802 9961

PASSCODE: 314159

主持人:理论科学研究院 韩骥原博士

主讲人: 西北大学 袁航博士

讲座主题Family Floer SYZ conjecture and examples


The Strominger-Yau-Zaslow (SYZ) conjecture proposes a geometric framework that underlies mirror symmetry for Calabi-Yau manifolds. However, it has been challenging to define 'dual' torus fibrations and comprehend singular fibers within this conjecture. In my talk, I will begin by providing an overview of integrable systems in both symplectic and non-archimedean contexts. Subsequently, I will briefly explore how to establish mathematical precision in defining the 'dual' fibration by incorporating quantum correction information and incorporating dual singular fibers through the study of non-archimedean topology. If time allows, I will also present various concrete examples, such as the conifold, and An singularities.