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Third International Congress of Chinese Mathematicians, Part 1

About this Title

Ka-Sing Lau, The Chinese University of Hong Kong, Hong Kong, China, Zhou-Ping Xin, The Chinese University of Hong Kong, Hong Kong, China and Shing-Tung Yau, Harvard University, Cambridge, MA, Editors

Publication: AMS/IP Studies in Advanced Mathematics
Publication Year: 2008; Volume 42.1
ISBNs: 978-0-8218-4454-0 (print); 978-1-4704-3831-9 (online)
DOI: https://doi.org/10.1090/amsip/042.1

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Table of Contents

Front/Back Matter

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Chapters

• Shock waves and cosmology
• Variational construction of diffusion orbits in convex Hamiltonian systems with multiple degrees of freedom
• Saddlepoint approximations and boundary crossing probabilities for random fields and their applications
• Recognizing certain rational homogeneous manifolds of Picard number 1 from their varieties of minimal rational tangents
• Discontinuous Galerkin methods for convection dominated partial differential equations
• Singularity behavior of the mean curvature flow
• Localization and duality
• Surgical Ricci flow on four-manifolds with positive isotropic curvature
• Special subvarieties of $\mathcal {A}_g$
• Local monodromy of the Kloosterman sheaf at $\infty $
• Hilbert modular functions and their CM values
• Geometric invariant theory and birational geometry
• Remarks on Gieseker’s degeneration and its normalization
• Bundle rigidity of complex surfaces
• CR equivalence problem of strongly pseudoconvex CR manifolds
• Vector bundles on non-primary Hopf manifolds with abelian fundamental group
• Subelliptic PDE’s and subRiemannian geometry
• The $Q$-curvature flow on a closed 3-manifold of positive $Q$-curvature
• The space of symplectic structures on closed 4-manifolds
• Ancient solutions to Kähler-Ricci flow
• A convergence result of the Lagrangian mean curvature flow
• On piecewise algebraic variety
• An introduction to chiral equivariant cohomology
• Large scale geometry, compactifications and the integral Novikov conjectures for arithmetic groups
• Normal dilations
• On the generator problem of von Neumann algebras
• A survey of results on the ground state of semilinear elliptic equations
• Separating and extending subgroups of a locally compact group
• The triangle of operators, topologies, bornologies
• The positive mass theorem near null infinity

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