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。
- 目录
- 前辅文
- Geometric Analysis, Differential Geometry,Symplectic Geometry
- On CR Li-Yau-Hamilton Inequality in Pseudohermitian (2n + 1)-manifolds
- Contact Spinc Structure, Embeddability of CR Structure, and Positivity of the Mass
- Universal Estimates for Eigenvalues and Applications
- The Geometry of Hypersurfaces in Heisenberg Groups
- Hung-Lin Chiu and Sin-Hua Lai
- Bounded Harmonic Functions on Complete Manifolds of Nonpositive Curvature
- 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
- Some Recent Progress on Mean Curvature Flow of Arbitrary Codimension
- Kefeng Liu, Hongwei Xu and Entao Zhao
- Cohomologies on Symplectic Manifolds
- Surgery and Isotopy of Lagrangian Surfaces
- Geometric Analysis on Alexandrov Spaces
- Hui-Chun Zhang and Xi-Ping Zhu
- Topology, Geometry and Mathematical Physics
- Anomalies, Gauge Groups and Modular Forms
- Toric, Global, and Generalized SYZ
- An Update of Quantum Cohomology of Homogeneous Varieties
- Naichung Conan Leung and Changzheng Li
- On the B-twisted Quantum Geometry of Calabi-Yau Manifolds
- Reduced Open Gromov-Witten on HyperK¨ahler Manifolds
- Equivariant Bordism of 2-torus Manifolds and Unitary Toric Manifolds: A Survey
- Computing Topological Invariants Using Fixed Points
- Bergman Kernel, Deformation Quantization and Feynman Diagram Formulas
- Some Results of the Knot Invariants Inspired by Physics
- 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
- First Passage Time in Markov Chains and in Random Walks on Countable Abelian Groups
- Iteration of Transcendental Entire Maps on Berkovich Affine Space
- Shilei Fan and Yuefei Wang
- Li-Yau Inequality on Graphs
- 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
- 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
- Blowup Solutions of Elliptic Systems in Two Dimensional Spaces
- On the Global Well-posedness of 2-D Inhomogeneous Navier-Stokes System with Variable Viscosity
