Explore the convergence of graph integrals on analytic Kähler manifolds through this seminar presentation from Harvard CMSA's Quantum Field Theory and Physical Mathematics series. Learn about recent mathematical developments proving convergence in the sense of Cauchy principal values for graph integrals originating from holomorphic quantum field theories. Discover how these theoretical advances enable the construction of geometric invariants of Calabi-Yau metrics, with discussion of potential applications in mathematical physics. Examine the intersection of quantum field theory, differential geometry, and complex analysis as presented by Minghao Wang from Boston University, based on collaborative research with Junrong Yan documented in recent arXiv publications.