世界华人数学家大会（ICCM）是国际华人数学界的一项盛会，第6届世界华人数学家大会于2013年7月在中国台北召开。本两卷本文集共收集了这次会议的邀请报告和大会报告60多篇，反映了数学各个分支研究的最新进展。本书是数学各领域的研究者的学术参考资料，也是值得各大图书馆收藏的重要文献。

前辅文
Geometric Analysis, Differential Geometry,Symplectic Geometry
  On CR Li-Yau-Hamilton Inequality in Pseudohermitian (2n + 1)-manifolds
   Shu-Cheng Chang
  Contact Spinc Structure, Embeddability of CR Structure, and Positivity of the Mass
   Jih-Hsin Cheng
  Universal Estimates for Eigenvalues and Applications
   Qing-Ming Cheng
  The Geometry of Hypersurfaces in Heisenberg Groups
   Hung-Lin Chiu and Sin-Hua Lai
  Bounded Harmonic Functions on Complete Manifolds of Nonpositive Curvature
   Qing Ding
  A Survey on Rigidity Problems in Geometry and Topology of Submanifolds
   Juan-Ru Gu, Hong-Wei Xu, Zhi-Yuan Xu and En-Tao Zhao
  Hodge Metric Completion of the Moduli Space of Calabi–Yau Manifolds
   Kefeng Liu and Yang Shen
  Some Recent Progress on Mean Curvature Flow of Arbitrary Codimension
   Kefeng Liu, Hongwei Xu and Entao Zhao
  Cohomologies on Symplectic Manifolds
   Li-Sheng Tseng
  Surgery and Isotopy of Lagrangian Surfaces
   Mei-Lin Yau
  Geometric Analysis on Alexandrov Spaces
   Hui-Chun Zhang and Xi-Ping Zhu
Topology, Geometry and Mathematical Physics
  Anomalies, Gauge Groups and Modular Forms
   Fei Han
  Toric, Global, and Generalized SYZ
   Siu-Cheong Lau
  An Update of Quantum Cohomology of Homogeneous Varieties
   Naichung Conan Leung and Changzheng Li
  On the B-twisted Quantum Geometry of Calabi-Yau Manifolds
   Qin Li and Si Li
  Reduced Open Gromov-Witten on HyperK¨ahler Manifolds
   Yu-Shen Lin
  Equivariant Bordism of 2-torus Manifolds and Unitary Toric Manifolds: A Survey
   Zhi L¨u
  Computing Topological Invariants Using Fixed Points
   Loring W Tu
  Bergman Kernel, Deformation Quantization and Feynman Diagram Formulas
   Hao Xu
  Some Results of the Knot Invariants Inspired by Physics
   Shengmao Zhu
Dynamical System, Control Theory, Optimization, Functional Analysis, Fractals
  Bounded Geometry and Families of Meromorphic Functions with Two Asymptotic Values
   Tao Chen, Yunping Jiang and Linda Keen
  Invariant Cylinder near Complete Resonance
   Chong-Qing Cheng and Min Zhou
  On Stability of Perturbed Metric-preserved Mappings on Banach Spaces
   Lixin Cheng
  First Passage Time in Markov Chains and in Random Walks on Countable Abelian Groups
   Ai-Hua Fan
  Iteration of Transcendental Entire Maps on Berkovich Affine Space
   Shilei Fan and Yuefei Wang
  Li-Yau Inequality on Graphs
   Yong Lin
Computational Mathematics, Imaging, and Mathematical Biology
  Modeling and Simulation on Chinese Medicine, Acupuncture and Moxibustion
   Yannick Deleuze, Marc Thiriet and Tony W H Sheu
  Discrete Surface Ricci Flow
   David Xianfeng Gu, Wei Zeng, Lok Ming Lui, Feng Luo and Shing-Tung Yau
  Fast Eigensolvers for Three Dimensional Lossless Drude Dispersive Metallic Photonic Crystals
   Tsung-Ming Huang, Han-En Hsieh, Wen-Wei Lin and Weichung Wang
  Beltrami Representation for Diffeomorphisms and Its Applications
   Lok Ming Lui, David Xianfeng Gu, Wei Zeng and Shing-Tung Yau
  Wetting and Spreading of Drops on Rough Surfaces
   Yi Shi and Xiao-Ping Wang
Partial Differential Equations
  Incompressible Elastic Waves and Viscoelastic Fluids
   Zhen Lei
  Bubbling Solutions for the Chern-Simons Model on a Torus
   Chang-Shou Lin and Shusen Yan
  Vector Solutions for Nonlinear Schr¨odinger Systems with Linear or Nonlinear Coupling
   Shuangjie Peng
  Blowup Solutions of Elliptic Systems in Two Dimensional Spaces
   Lei Zhang
  On the Global Well-posedness of 2-D Inhomogeneous Navier-Stokes System with Variable Viscosity
   Ping Zhang

丘成桐，当代数学大师，现任哈佛大学讲座教授，1971 年师从陈省身先生在加州大学伯克利分校获得博士学位。发展了强有力的偏微分方程技巧，使得微分几何学产生了深刻的变革。解决了卡拉比(Calabi) 猜想、正质量猜想等众多难题，影响遍及理论物理和几乎所有核心数学分支。年仅33 岁就获得代表数学界最高荣誉的菲尔兹奖(1982)，此后获得MacArthur 天才奖(1985)、瑞典皇家科学院Crafoord 奖(1994)、美国国家科学奖(1997)、沃尔夫奖(2010) 等众多大奖。现为美国科学院院士、中国科学院和俄罗斯科学院的外籍院士。筹资成立浙江大学数学科学研究中心、香港中文大学数学研究所、北京晨兴数学中心和清华大学数学科学中心四大学术机构，担任主任，不取报酬。培养的60 余位博士中多数是中国人，其中许多已经成为国际上杰出的数学家。由于对中国数学发展的突出贡献，获得2003 年度中华人民共和国科学技术合作奖。