Mirror Structure Constants via Non-Archimedean Analytic Disks

Explore the construction of mirror structure constants for smooth affine log Calabi-Yau varieties through non-archimedean analytic disks in this AGNES 2023 conference talk. Delve into Tony Yue Yu's presentation, which generalizes previous constructions by removing toric assumptions. Examine the techniques involving analytic modification of target spaces and the theory of skeletal curves. Discover how these methods lead to the positivity and integrality of mirror structure constants. Learn about potential further generalizations and virtual fundamental classes in this joint work with S. Keel, offering insights into advanced topics in algebraic geometry and mirror symmetry.