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.
