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
- 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
- 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?
- 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
- Congruent Number Problem
- Monge-Amp`ere Equation and Optimal Transportation
- 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
- Bounded Gaps Between Primes
- A Survey of Local Models of Shimura Varieties
- Invited Lectures
- Number Theory, Automorphic Forms and Arithmetic Geometry
- New Estimates on Incomplete Character Sums
- Gelfand-Kapranov-Zelevinsky Hypergeometric Sheaves
- Note on Affine Deligne-Lusztig Varieties
- 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
- Counting Integral Points in Certain Homogeneous Spaces
- On Existence and Density of the Ordinary Locus of Certain Shimura Varieties
- Discrete Mathematics, Combinatorics Bounding Some Ramsey Functions
- Some Results and Problems About Circumferences of Graphs
- Extremal Graph Theory for Degree Sequences
- Algebraic Geometry, Complex Geometry On the Toda Systems of VHS Type
- Classification of Isoparametric Hypersurfaces
- New Invariants for Higher Dimensional Singularities and the Complex Plateau Problem
- Rong Du, Yun Gao, and Stephen Yau
- Relative Resolution and Its Applications
- Mirror Theorem, Seidel Representation, and Counting Holomorphic Disks in Toric Varieties
- Strongly Liftable Schemes and the Kawamata-Viehweg Vanishing in Positive Characteristic
- Birational Geometry in the Study of Dynamics of Automorphisms and Brody/Mori/Lang Hyperbolicity
- Mumford Compactification of Siegel Variety from the Viewpoint of K¨ahler-Einstein Metric