数学科学研究所
Insitute of Mathematical Science

Calabi-Yau geometry and quantization


Seminar | Institute of Mathematical Sciences

Time:10:10-11:10, Nov 30, Friday

LocationRoom 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. 

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