Plenary Lectures 3
Ricci Flow and Classification of Certain Four-manifolds&Bing-Long Chen 3
Shock Reflection-Diffraction,von Neumann's Conjectures,and Nonlinear Equations of Mixed Type&Gui-Qiang Chen and Mikhail Feldman 11
Parameter Estimation in Systems and Control&Han-Fu Chen 25
Finite and Infinite Soliton and Kink-soliton Trains of Nonlinear Schr？dinger Equations&Stefan Le Coz and Tai-Peng Tsai 43
A Langlands Program for Covering Groups？&Wee Teck Gan 57
Global Solutions of the Euler-Maxwell Two-fluid System in 3D&Yan Guo,Alexandru D.Ionescu,and Benoit Pausader 79
Compact Embedded Rotational Hypersurfaces with Constant Mean Curvature in a Sphere&Zhijie Huang and Haizhong Li 95
A Brief Survey on High Order Numerical Methods for Convection Dominated Problems&Chi-Wang Shu 119
Congruent Number Problem&Ye Tian 135
Monge-Ampère Equation and Optimal Transportation&Xu-Jia Wang 153
Recent Results on Rigidity of CR Morphisms Between Compact Strongly Pseudoconvex CR Manifolds&Stephen Yau and Huaiqing Zuo 173
Rigidity in the Langlands Correspondence and Applications& Zhiwei Yun 199
Bounded Gaps Between Primes&Yitang Zhang 235
A Survey of Local Models of Shimura Varieties&Xinwen Zhu 247
Invited Lectures 271
Number Theory,Automorphic Forms and Arithmetic Geometry 271
New Estimates on Incomplete Character Sums&Mei-Chu Chang 271
Gelfand-Kapranov-Zelevinsky Hypergeometric Sheaves&Lei Fu 281
Note on Affine Deligne-Lusztig Varieties&Xuhua He 297
On the Local Langlands Conjecture and Related Problems over p-adic Local Fields&Dihua Jiang and Chufeng Nien 309
The M？bius Disjointness Conjecture for Distal Flows&Jianya Liu and Peter Sarnak 327
Survey on Automorphic Period for General Bessel Model&Yifeng Liu 337
Counting Integral Points in Certain Homogeneous Spaces&Fei Xu 351
On Existence and Density of the Ordinary Locus of Certain Shimura Varieties&Chia-Fu Yu 361
Discrete Mathematics,Combinatorics 383
Bounding Some Ramsey Functions&Yusheng Li 383
Some Results and Problems About Circumferences of Graphs&Xingxing Yu 393
Extremal Graph Theory for Degree Sequences&Xiao-Dong Zhang 407
Algebraic Geometry,Complex Geometry 427
On the Toda Systems of VHS Type&Chen-Yu Chi 427
Classification of Isoparametric Hypersurfaces&Quo-Shin Chi 437
New Invariants for Higher Dimensional Singularities and the Complex Plateau Problem&Rong Du,Yun Gao,and Stephen Yau 453
Relative Resolution and Its Applications&Yi Hu 467
Mirror Theorem,Seidel Representation,and Counting Holomorphic Disks in Toric Varieties&Hsian-Hua Tseng 489
Strongly Liftable Schemes and the Kawamata-Viehweg Vanishing in Positive Characteristic&Qihong Xie 505
Birational Geometry in the Study of Dynamics of Automorphisms and Brody/Mori/Lang Hyperbolicity&De-Qi Zhang 519
Mumford Compactification of Siegel Variety from the Viewpoint of K？hler-Einstein Metric&Yi Zhang 541