水木社区手机版

- 主题:第七届华人数学家大会
- http://iccm.mcm.ac.cn/dct/page/70016

Title & Abstract

Morningside Lectures

Camillo De Lellis: The Nash-Kuiper theorem and a conjecture of Onsager

Bjorn Engquist: Seismic imaging and the Monge–Ampère equation

Stanley Osher: Overcoming the curse of dimensionality for certain Hamilton-Jacobi (HJ)equations arising in control theory and elsewhere

Yuri Tschinkel: Rationality problems

Edward Witten: A new look at integrable lattice models

Horng-Tzer Yau: Spectral statistics of random graphs

Zhiwei Yun: Intersection numbers and higher derivatives of L-functions for function fields

Plenary Lectures

Group 1

Wei Zhang: RTF and L-functions

Kai-Wen Lan: Cohomology of automorphic bundles

Xinyi Yuan: On Faltings heights of CM abelian varieties

Jing Yu: On Linear Independence of Logarithms

Xuhua He: Cocenter of Hecke algebras

Jiu-Kang Yu: A GAGA theorem for p-adic groups

Jianya Liu: Manin's conjecture for a class of singular cubic hypersurfaces

Lei Fu: Rigidity of $\ell$-adic Sheaves

Si Li: Open-closed topological string on Calabi-Yau manifolds

Group 2

Jun Li: Toward high genus GW invariants of quintic threefolds

Kefeng Liu: On the images of period maps

Naichung Conan Leung: ADE bundles over surfaces

Mu-Tao Wang: Energy-momentum, angular momentum, and center of mass in general relativity

Lizhen Ji: The geometry and compactification of moduli spaces and locally symmetric spaces

Hongwei Xu: New developments in mean curvature flow of arbitrary codimension inspired by Yau rigidity theory of submanifolds

Jeng-Daw Yu: Progress in irregular Hodge structures

Xiuxiong Chen: A recent update on Kaehler geometry

Hsian-Hua Tseng: On the geometry of orbifold Gromov-Witten invariants

Group 3

Lexing Ying: Tensor network skeletonization

Changshou Lin: Multiple Green function, Mean field equation and Lame equation

Xiao-Ping Wang: A study of speed dependent contact angle hysteresis

Hongkai Zhao: Approximate separability of Green’s function and intrinsic complexity of differential operators

Qiang Du: Localization of Nonlocal Continuum Models

Raymond Honfu Chan: Point-spread function reconstruction in ground-based astronomy

I-Liang Chern: Ground State Patterns and Phase Transitions of of Spin-1 Bose-Einstein Condensates, Numerics and Analysis

Zhiwei Yun: Intersection numbers and higher derivatives of L-functions for function fields, part II

Pin Yu: The nonlinear stability of Alfven waves

Group 4

Jianqing Fan: Robust Low-Rank Matrix Recovery

David Cai: The role of mathematics in neuroscience

Zhouping Xin: On Multi-Dimensional Compressible Navier-Stokes Systems

Samuel Kou: Big data, Google and disease detection: the statistical story

Jun Yin: Universality and delocalization of band matrices

Xiangyu Zhou: Recent progress on optimal $L^2$ extension and multiplier ideal sheaves

Ping Zhang: Global regularities of two-dimensional density patch for inhomogeneous incompressible viscous flow with general density

Xianfeng David Gu: Computational Conformal Geometry, Theories, Algorithms and Applications

Hao Xu: Explicit formula of asymptotic coefficients of heat kernel

Invited Lectures

Group 1

Fan Qin: Cluster algebras and monoidal categorification

Fang Li: Positivity of acyclic sign-skew-symmetric cluster algebras via unfolding method and some related topics

Cheng-Chiang Tsai: An attempt for affine Springer theory

Li Cai: The Gross-Zagier formula: arithmetic applications

Ming-Hsuan Kang: Geometric zeta functions on reductive groups over non-archimedean local fields

Huanchen Bao: Canonical bases arising from quantum symmetric pairs

Peng Shan: Categorification of coideal algebras

Qiang Fu: Quantum affine $\frak{gl}_n$ via Hecke algebras

Chaoping Xing: Subspace design from algebraic curves over finite fields

Han Wu: Period Method and Subconvexity Problem

Jiajun Ma: Theta correspondence and Moment maps

Jie Wu: Quadratic polynomials at prime arguments

Group 2

Ziyang Gao: Bi-algebraic system on the universal vectorial extension and Ax type transcendence results

Xin Wan: New developments of Iwasawa theory

Binyong Sun: Basic theorems and some problems in local theta correspondence

Hang Xue: Approximating smooth transfer in Jacquet--Rallis relative trace formulas

Fu Liu: A combinatorial analysis of Severi degree

Yichao Tian: Supersingular locus of Hilbert modular varieties and arithmetic applications

Xu Shen: Geometric structures of perfectoid Shimura varieties

Miaofen Chen: A decomposition of affine Deligne-Lusztig varieties

Yifeng Liu: Recent progress on Bloch-Kato conjecture

Weizhe Zheng: Companions on Artin stacks

Tong Liu: Potentially GL(2)-type Galois representations associated to noncongruence modular forms

Zhengyu Mao: Whittaker Fourier coefficient of cusp forms

Group 3

Kai-Seng Chou: TBA

Junyi Xie: Algebraic actions of discrete groups: the p-adic method

Changzheng Li: On the Conjecture O for G/P

Yu Qiu: Stability conditions and quivers

Mao Sheng: A $p$-adic Hitchin-Simpson correspondence for algebraic fundamental groups

Mingmin Shen: The rationality problem and the integral Hodge conjecture

Siu-Cheong Lau: Generalized SYZ mirror symmetry

Ting Xue: The Springer correspondence for symmetric spaces and Hessenberg varieties

Tong Zhang: Geography of irregular varieties of general type

Tony Yue Yu: Counting open curves via closed curves

Tsao-Hsien Chen: Quantization in positive characteristic and Langlands duality

Yi Zhang: Some results on Viehweg's weak positivity

Group 4

Bing Wang: On the K\"ahler Ricci flow

Bing-Long Chen: On stationary solutions to the Einstein field equations

Frederick Tsz-Ho Fong: Some Variational Aspects of the Kahler-Ricci Flow

Juan-Ru Gu: The topological theorem for odd dimensional compact submanifolds with pinched Ricci curvature

Gang Liu: Gromov-Hausdorff limits of Kahler manifolds and the finite generation conjecture

Zhongtao Wu: Concordance invariants from knot Floer homology

Lu Wang: Hypersurfaces of Low Entropy

Martin Man-chun Li: Recent advances on free boundary minimal submanifolds

Qin Li: Deformation quantization, algebraic index and geometric quantization

Willie Wai Yeung Wong: Time-like minimal submanifolds of Minkowski spaces

Xiangyu Liang: An example of proving Almgren’s minimality by product of paired calibrations

Xiaokui Yang: Hyperbolicity, non-positive curvature and the canonical bundle

Group 5

Kwokwai Chan: The open mirror theorem revisited

Jie Zhou: Modular forms in Gromov-Witten theory

Jonathan Winghong Luk: Large data dispersive spacetimes in general relativity

Zhigang Ji: How the Knowledge of Geometry Affected China: Text Translation, Knowledge Transmission and Social Transformation of Jihe Yuanben

Po-Ning Chen: Quasi-local energy in presence of gravitational radiations.

Siqi Liu: The Bihamiltonian Aspect of Dubrovin-Zhang Theory

Yisong Yang: Solutions of Friedmann's Equations and Cosmological Consequences

Yu-Shen Lin: On the Refined Open Gromov-Witten Invariants on K3 Surfaces

Zhengyu Zong: Some applications of the Remodeling Conjecture

Fusheng Deng: Levi's problem, convexity, and squeezing function of bounded domains

Yuan Yuan: Holomorphic isometries between bounded symmetric domains

Jun Zhang: Kahler and Para-Kahler Structure in Information Geometry

Group 6

Hongchao Zhang: A revisit of nonlinear conjugate gradient method

Jiawang Nie: Polynomial optimization and tensor computation

Jinyan Fan: Recent advances in numerical methods for nonlinear equations

Yang Wang: Fractal Measures with Fourier Bases and Frames

Jun Yan: Variational Principle for Contact Hamiltonian Systems

Jung-Chao Ban: Entropy of tree shifts of finite type

Lin Wang: Large time behavior of viscosity solutions of Hamilton-Jacobi equations depending on unknown functions

Weixiao Shen: TBA

Yanhui Qu: Fiber of Gibbs measure and density of states of Sturm Hamiltonian

Ziming Nikolas Ma: Witten Morse theory and SYZ Mirror Symmetry

Dejun Feng: Dimension of invariant measures for affine iterated function systems

Kunyu Guo: Geometric analysis of analytic Toeplitz operators

Group 7

Xiaoman Chen: Coarse embeddings and Coarse Baum-Connes Conjecture

Chongchun Zeng: Instability, index theorems, and exponential dichotomy of Hamiltonian PDEs

Hongjie Dong: Schauder estimates for fully nonlinear nonlocal parabolic equations

Huihui Zeng: Global Solutions to the Gas-Vacuum interface Problem of Compressible Euler Equations with Physical Singularity

Jiahong Wu: The 2D Boussinesq equations with partial or fractional dissipation

Lihe Wang: Rigidity theory from geometric capacity

Lingbing He: Sharp bounds for Boltzmann and Landau collision operators

Wenjia Jing: PDEs with oscillatory coefficients: beyond homogenization

Zhen Lei: Strong Null Condition and Incompressible Fluids

Yunping Jiang: Geometry of Zero Entropy Dynamical Systems and Number Theory

Group 8

Wotao Yin: A Three-Operator Splitting Scheme and its Applications

Ding-Xuan Zhou: Mathematical Foundations of Distributed Learning and Online Learning

Jue Yan: TBA

Yinhua Xia: Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws and Hamilton-Jacobi equations

Junqing Chen: Detection and Classification from electromagnetic induction data

Michael Kwok-Po Ng: Convex and Nonconvex Optimization Models In Image Processing

Ronald Lok Ming Lui: Recent advances of Computational Quasiconformal Geometry in Imaging, Graphics and Visions

Shidong Jiang: On the construction and applications of sum-of-exponentials approximations

Wai-Ki Ching: Markov Chain Models: Computations and Applications

Shing-Yu Leung: Eulerian Approaches for Visualizing Continuous Dynamical Systems

Xiao-Qing Jin: Some Problems in Matrix Analysis and Computation

Yang Xiang: A Continuum Model for Dislocation Dynamics in Three Dimensions

Group 9

Bo Li: Level-Set Variational Implicit-Solvent Modeling of Biomolecular Solvation

Jia-Shun Jin: Network Membership Estimation by Simplex Vertices Hunting

Douglas Zhou: Hazards in data analysis of biological experiments

Shen Lin: The harmonic measure of balls in critical Galton-Watson trees

Song Li: Some New Advances in Compressed Sensing

Wei Lin: Finding the role of time delays and randomness in complex systems

Hao Wu: Arm Exponents for Critical Ising and FK-Ising Model

Harrison Huibin Zhou: A Review of Some Optimality Results in Network Analysis and Beyond

Hongtu Zhu: Mathematical Challenges in Analyzing Large-scale Neuorimaging Studies

Liqun Zhang: TBA

Runze Li: Tests for High-Dimensional Mean Vectors

Contributed Lectures

Group 1

Yu Zhao: Almost totally complex points on elliptic curves

Sheng Chen: Weak connectedness of tensor product of digraphs

Group 2

Bo Chen: Chaos and Gliders in hybrid cellular automata rule 146, 156 and 184

Hang Liu: On K2 of certain families of curves

Group 3

Jichun Li: Mathematical analysis and time-domain finite element modeling of invisibility cloaks with metamaterials

Jian-Zhou Zhang: Inference on square-norm regularized functional in compressed sensing

Anming Yang: The predual and John-Nirenberg inequalities on generalized BMO martingale spaces

Group 4

Changyu Guo: The theory of quasiregular mappings in metric spaces

Ka Chun Lam: Landmark-matching transformation with large deformation via n-dimensional quasi-conformal maps

Shaochuang Huang: Some properties of Ricci flow with unbounded curvature and their applications

Group 5

Yuan-Jen Chiang: Exponentially harmonic maps, exponential stress energy and stability

Hong Wang: Focus on the development of Hamiltonian reductions from the researches of Jerrold E. Marsden

Yat Hin Suen: On the jumping phenomenon of the dimensions of cohomologies

Group 6

Yonggui Zhu: Mathematical representations in patch processing for K-SVD denoising

Pengtao Sun: Numerical methodologies for fluid-structure interaction problems

Shoudong Man: Hypergraphs with spectral radius at most $(r-1)!\sqrt[r]{2+\sqrt[5}}$

Group 7

Renjun Duan: Global well-posedness of the Boltzmann equation with large amplitude initial data

Lingju Kong: Positive radial solutions for quasilinear biharmonic equations

Yong Yu: Global solution of a simplified Ericksen-Leslie equation with nonzero circulation Reynolds number

Group 8

Chunhui Lai: Some problems on covering of graphs

Zanbo Zhang: Paths and Cycles in Digraphs and Random Digraphs

Hei-Long Chan: Hooke’s optimization for 3D triangular mesh

Group 9

Huoyuan Duan: Adaptive FEM for Maxwell interface problem

Linghua Chen: On the numerical path integration method

Wensheng Zhang: Full-waveform inversion of elastic wave in the frequency domain

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修改:Cracker FROM 119.57.112.*

FROM 119.57.112.*