Geometry/Physics Seminar

Title: SYZ mirror construction from quantum corrections and non-archimedean geometry
Speaker: Hang Yuan
Speaker Info:
Brief Description:
Special Note:

In the study of mirror symmetry, we still don’t know why a pair of varieties are mirror. This is a long-standing problem, and our best hope should be geometry: The Strominger-Yau-Zaslow conjecture suggests that the mirror symmetry for Calabi-Yau manifolds can be interpreted as a duality between special Lagrangian fibrations. In this talk, we use the counts of holomorphic disks in the A-side to build a rigid analytic space structure on the B-side dual torus fibration. It is based on the A-infinity structures and non-archimedean analysis. If time allowed, we will explain an application on the disk-counting and also a recent work in progress about the folklore conjecture that the critical values of the mirror Landau-Ginzburg superpotential are the eigenvalues of quantum product by c_1.
Date: Thursday, October 07, 2021
Time: 4:00pm
Where: Lunt 107
Contact Person:
Contact email: hyuan@northwestern.edu
Contact Phone:
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