Mirror structure constants via non-archimedean analytic disks - Tony Yue Yu

AGNES 2023
April 29, 2023
Stony Brook University
Speaker: Tony Yue Yu (Caltech)
Abstract: For any smooth affine log Calabi-Yau variety U, we construct the structure constants of the mirror algebra to U via counts of non-archimedean analytic disks in the skeleton of the Berkovich analytification of U. This generalizes our previous construction with extra toric assumptions. The technique is based on an analytic modification of the target space as well as the theory of skeletal curves. Consequently, we deduce the positivity and integrality of the mirror structure constants. If time permits, I will discuss further generalizations and virtual fundamental classes. Joint work with S. Keel.
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