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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