Colloquium | Institute of Mathematical Sciences
Time：10:10-11:10, Nov. 30, Friday
Location：Room 302, Library
Speaker: Si Li, Tsing Hua University
Abstract: Mirror symmetry predicts a deep connection between two quantum geometries on Calabi-Yau manifolds. One side is called A-model, which is related to counting holomorphic curves; the other side is called B-model, which is about the Hodge theory. In this talk we describe a quantum theory for the variation of Hodge structures on Calabi-Yau geometry via renormalization method of quantum field theory. As an application, we prove the higher genus mirror symmetry conjecture on elliptic curves. As another application, we give a construction of open-closed string field theory for B-model topological string.