学术报告（Minghao Wang 2026.11.13）

摘要：Controlling ultraviolet divergences in Feynman graph integrals is a central problem in perturbative quantum field theory. In this talk, I will show that for holomorphic quantum field theories on closed real-analytic Kähler manifolds, each Feynman graph integral has a finite ultraviolet limit. The proof, developed jointly with Junrong Yan, uses wonderful compactifications to analyze how the integrals behave as vertices approach one another at different scales. As an application, I will present an explicit quantization of Kodaira–Spencer theory of gravity (BCOV theory) on Calabi–Yau manifolds, developed jointly with Si Li. Mirror symmetry predicts that the resulting BCOV invariants of a Calabi–Yau manifold agree with the Gromov–Witten invariants of its mirror.