EVENT DETAILS AND ABSTRACT

Title: Family Floer mirror space for local SYZ singularities
Speaker: Hang Yuan
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:

We give a mathematically precise statement of SYZ conjecture and verify it for any toric Calabi-Yau manifolds. The dual analytic fibration (including the singular fibers) will be explicitly presented in the talk. It modifies a non-archimedean singular model of Kontsevich-Soibelman and also agrees with the work of Gross-Hacking-Keel-Siebert. The dual singular fiber also has an intrinsic geometric explanation by a classification of two types of quantum correction and the theory of Chambert-Loir and Ducros. We give evidence to convince people of it, even if people don’t know anything about the family Floer business. If time allowed, we will describe a version of SYZ converse and justify some computations for the folklore conjecture for the critical values of the mirror Landau-Ginzburg superpotential.