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
Plenary Lectures
  Ricci Flow and Classification of Certain Four-manifolds
   Bing-Long Chen
  Shock Reflection-Diffraction, von Neumann’s Conjectures, and Nonlinear Equations of Mixed Type
   Gui-Qiang Chen and Mikhail Feldman
  Parameter Estimation in Systems and Control
   Han-Fu Chen
  Finite and Infinite Soliton and Kink-soliton Trains of Nonlinear Schr¨odinger Equations
   Stefan Le Coz and Tai-Peng Tsai
  A Langlands Program for Covering Groups?
   Wee Teck Gan
  Global Solutions of the Euler–Maxwell Two-fluid System in 3D
   Yan Guo, Alexandru D Ionescu, and Benoit Pausader
  Compact Embedded Rotational Hypersurfaces with Constant Mean Curvature in a Sphere
   Zhijie Huang and Haizhong Li
  A Brief Survey on High Order Numerical Methods for Convection Dominated Problems
   Chi-Wang Shu
  Congruent Number Problem
   Ye Tian
  Monge-Amp`ere Equation and Optimal Transportation
   Xu-Jia Wang
  Recent Results on Rigidity of CR Morphisms Between Compact Strongly Pseudoconvex CR Manifolds
   Stephen Yau and Huaiqing Zuo
  Rigidity in the Langlands Correspondence and Applications
   Zhiwei Yun
  Bounded Gaps Between Primes
   Yitang Zhang
  A Survey of Local Models of Shimura Varieties
   Xinwen Zhu
Invited Lectures
  Number Theory, Automorphic Forms and Arithmetic Geometry
  New Estimates on Incomplete Character Sums
   Mei-Chu Chang
  Gelfand-Kapranov-Zelevinsky Hypergeometric Sheaves
   Lei Fu
  Note on Affine Deligne-Lusztig Varieties
   Xuhua He
  On the Local Langlands Conjecture and Related Problems over p-adic Local Fields
   Dihua Jiang and Chufeng Nien
  The M¨obius Disjointness Conjecture for Distal Flows
   Jianya Liu and Peter Sarnak
  Survey on Automorphic Period for General Bessel Model
   Yifeng Liu
  Counting Integral Points in Certain Homogeneous Spaces
   Fei Xu
  On Existence and Density of the Ordinary Locus of Certain Shimura Varieties
   Chia-Fu Yu
  Discrete Mathematics, Combinatorics Bounding Some Ramsey Functions
   Yusheng Li
  Some Results and Problems About Circumferences of Graphs
   Xingxing Yu
  Extremal Graph Theory for Degree Sequences
   Xiao-Dong Zhang
  Algebraic Geometry, Complex Geometry On the Toda Systems of VHS Type
   Chen-Yu Chi
  Classification of Isoparametric Hypersurfaces
   Quo-Shin Chi
  New Invariants for Higher Dimensional Singularities and the Complex Plateau Problem
   Rong Du, Yun Gao, and Stephen Yau
  Relative Resolution and Its Applications
   Yi Hu
  Mirror Theorem, Seidel Representation, and Counting Holomorphic Disks in Toric Varieties
   Hsian-Hua Tseng
  Strongly Liftable Schemes and the Kawamata-Viehweg Vanishing in Positive Characteristic
   Qihong Xie
  Birational Geometry in the Study of Dynamics of Automorphisms and Brody/Mori/Lang Hyperbolicity
   De-Qi Zhang
  Mumford Compactification of Siegel Variety from the Viewpoint of K¨ahler-Einstein Metric
   Yi 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。