38th Westlake Math Colloquium | Hang Yuan: Family Floer SYZ conjecture and examples

2023-06-02 09:15:06
报告人 时间 14:00-15:00
地点 E4-201 & ZOOM 2023
月日 06-08

Time: 14:00-15:00, Thursday, June 8 2023

Venue: E4-201, Yungu Campus & ZOOM

ZOOM ID: 952 802 9961

PASSCODE: 314159


Host: Jiyuan Han, ITS

Speaker: Hang Yuan, Northwestern University

Title: Family Floer SYZ conjecture and examples

Abstract:

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.