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| Preface |
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ix | |
| Welcome Letter from the Congress President |
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xii | |
| Past Congresses of ICCM |
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xiii | |
| Past Morningside Medalists, Chern Prize Recipients, and ICCM International Cooperation Award Recipients |
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xiii | |
| On the Works of the 2010 Morningside Medalists |
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xv | |
| About the Medals and Awards of ICCM |
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xviii | |
| The Committees of the Congress |
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xix | |
| Sponsors, Donors and Contributors |
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xxi | |
| Photographs |
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xxii | |
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Papers on Pure Mathematics |
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Gradient and oscillation estimates and their applications in geometric PDE |
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3 | (18) |
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On canonical and explicit classification of algebraic threefolds |
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21 | (12) |
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Canonical pseudonorms on pluricanonical spaces |
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33 | (10) |
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The enigmatic Tate-Shafarevich group |
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43 | (8) |
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Eta invariants for even-dimensional manifolds |
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51 | (10) |
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Ricci flow on 4-manifolds and Seiberg-Witten equations |
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61 | (16) |
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Vector bundles and p-adic Galois representations |
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77 | (38) |
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Geometry of nilpotent orbits: results and conjectures |
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115 | (12) |
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Integrable connections and Galois representations |
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127 | (12) |
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Asymptotic Chow polystability in Kahler geometry |
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139 | (16) |
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Representations of metaplectic groups |
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155 | (16) |
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Notes on partial conjugation |
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171 | (12) |
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Geometric modular forms and the cohomology of torsion automorphic sheaves |
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183 | (26) |
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SYZ transformations for toric varieties |
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209 | (12) |
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Some variational problems in conformal geometry |
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221 | (12) |
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Geometry of tamed almost complex structures on 4-dimensional manifolds |
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233 | (20) |
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The arithmetic of noncongruence modular forms |
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253 | (16) |
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Analytic continuations of quantum cohomology |
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269 | (14) |
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Mathematical aspects of string duality |
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283 | (10) |
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The tame kernels of number fields |
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293 | (12) |
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305 | (10) |
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Vertex operator representations for a class of BCν-graded Lie algebras |
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315 | (12) |
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Notes on orbifold Gromov-Witten theory |
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327 | (14) |
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Cohomologies and elliptic operators on symplectic manifolds |
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341 | (14) |
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Quasilocal mass from a mathematical perspective |
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355 | (10) |
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On dimension data and local vs. global conjugacy |
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365 | (18) |
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Variational problems of Monge-Ampere type |
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383 | (14) |
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Wellposedness of the two and three dimensional full water wave problem |
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397 | (18) |
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Recent developments in differentiable sphere theorems |
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415 | (16) |
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New invariants for complex manifolds, singularities, and CR manifolds with application |
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431 | (16) |
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Gross-Zagier formula and arithmetic fundamental lemma |
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447 | (14) |
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Integrality properties of mirror maps |
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461 | (14) |
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Ohsawa-Takegoshi L2 extension theorem: revisited |
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475 | (18) |
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Papers on Applied Mathematics |
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Regularity of Einstein spacetimes |
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493 | (6) |
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A survey on retrograde and prograde orbits of the three-body problem by variational methods |
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499 | (16) |
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Recent development of computational conformal geometry |
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515 | (46) |
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Some developments in spectral methods |
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561 | (14) |
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On the center of mass in general relativity |
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575 | (18) |
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Tailored finite point method for numerical simulation of partial differential equations |
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593 | (16) |
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Loop symmetric functions and factorizing matrix polynomials |
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609 | (20) |
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Spectral inequalities for partial differential equations and their applications |
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629 | (16) |
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Structured doubling algorithms for solving g-palindromic quadratic eigenvalue problems |
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645 | (18) |
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Ricci curvature and functional inequalities on graphs |
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663 | (14) |
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Complexity dichotomies of counting problems |
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677 | (20) |
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A survey on recent development in computational quasi-conformal geometry and its applications |
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697 | (22) |
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Dynamics of shock fronts for some hyperbolic systems |
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719 | (12) |
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Time-stepping methods for linear complementarity systems |
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731 | (16) |
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A brief survey of high order accurate maximum principle satisfying and positivity preserving discontinuous Galerkin and finite volume schemes for conservation laws |
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747 | (12) |
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A one parameter family of expanding wave solutions of the Einstein equations that induces an anomalous acceleration into the standard model of cosmology |
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759 | (12) |
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Banded matrices with banded inverses and A = LPU |
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771 | (14) |
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Dissimilarity data in statistical model building and machine learning |
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785 | (26) |
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Some progress on computational geometry |
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811 | (20) |
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Geometrization program of semilinear elliptic equations |
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831 | (28) |
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Fast and near-optimal matrix completion via randomized basis pursuit |
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859 | (24) |
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Mathematical questions of quantum dilute gases |
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883 | (10) |
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Algebraic dynamics, canonical heights and Arakelov geometry |
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893 | (38) |
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Well-posedness and control of the Korteweg-de Vries equation on a bounded domain |
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931 | (26) |
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Statistical analysis in genetic association studies of mental illnesses |
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957 | (14) |
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Compressible Navier-Stokes equations with large density oscillation |
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971 | (16) |
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Some results on variational and topological methods |
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987 | |
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