On the comparison of the family Floer mirrors and GS/GHK Mirrors
Yu-Shen Lin (Boston University)
Abstract: Strominger-Yau-Zaslow conjecture serves as the guiding principle for mirror symmetry in the past decade. In particular, SYZ spirit provides a recipe for constructing the mirrors. Instead of the original conjecture, there is the algebraic approach of Kontsevich-Soibelman, Gross-Siebert and the symplectic approach of using family Floer homology. It is natural to ask to ask if the two approaches give the same mirror. In this talk, I will discuss some situations with the existence of special Lagrangian fibrations for some log Calabi-Yau surfaces. Furthermore, we will compare the family Floer mirror with the Gross-Hacking-Keel mirror and finite cluster varieties. Part of the talk is based on the joint work with Man-Wai Cheung.
Mathematics
Audience: researchers in the topic
| Organizers: | Shing Tung Yau, Shiu-Yuen Cheng, Sen Hu*, Mu-Tao Wang |
| *contact for this listing |