Geometry/Physics Seminar

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

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.
Date: Thursday, September 29, 2022
Time: 4:00pm
Where: Lunt 107
Contact Person: Hang Yuan
Contact email: hyuan@northwestern.edu
Contact Phone:
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