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

2023-06-02 09:09:00

时间2023年6月8日(周四)14:00-15:00

地点:云谷校区E4-201 & ZOOM

ZOOM ID:952 802 9961

PASSCODE:314159


主持人:理论开云app官网下载安卓 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

讲座摘要:

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 Ansingularities.


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