镜像对称是数学中的一个重要研究课题。它*初是由物理学家发现的，从弦理论的角度看关系到在几何上不同的Calabi-Yau流形。稍后，数学家用它求解悬而未决的关于Calabi-Yau流形的计数问题。从那以后，它引起了人们的广泛关注并成为数学家研究的热点。
本书旨在展示一些镜像对称理论的*新研究进展。本书包含2014年1月在中国台湾举办的“Calabi-Yau几何和镜像对称”会议精选报告人和一些受邀请学者的论文。
2019年，丘成桐教授将迎来70岁华诞，清华大学的“丘成桐数学科学中心”也将迎来成立10周年纪念日。本书的前两位主编谨以此书献给这两个重大事件。

SYZ Mirror Symmetry for Toric Varieties
Differential Equations Associated to Normal Functions, and the Transcendental Regulator for a K3 Surface and Its
Self-Product
Techniques to Compute Monodromy of Differential Equations of Mirror Symmetry
Mirror Symmetry and Projective Geometry of Fourier-Mukai Partners
Quantum D-Modules of Toric Varieties and Oscillatory Integrals
Degenerations and Lagrangian Fibrations of Calabi-Yau Manifolds
Generalized SYZ and Homological Mirror Symmetry
Mirrors, Functoriality, and Derived Geometry
Lectures on operads, Homology operations, and Mirror Symmetry
S-Duality Conjecture for Calabi-Yau 3-Folds
Mirror Symmetry and K3 Surfaces
Some Conjectures on the Asymptotic BehaVior of Gromov-Witten Invariants