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Fifth International Congress of Chinese Mathematicians, Part 1

About this Title

Lizhen Ji, University of Michigan, Ann Arbor, MI, Yat Sun Poon, Tsinghua University, Beijing, China, Lo Yang, Chinese Academy of Sciences, Beijing, China and Shing-Tung Yau, Harvard University, Cambridge, MA, Editors

Publication: AMS/IP Studies in Advanced Mathematics
Publication Year: 2012; Volume 51.1
ISBNs: 978-0-8218-7586-5 (print); 978-1-4704-1754-3 (online)
DOI: https://doi.org/10.1090/amsip/051.1

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Table of Contents

Front/Back Matter

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Chapters

• Papers on pure mathematics
• Gradient and oscillation estimates and their applications in geometric PDE
• On canonical and explicit classification of algebraic threefolds
• Canonical pseudonorms on pluricanonical spaces
• The enigmatic Tate-Shafarevich group
• Eta invariants for even dimensional manifolds
• Ricci flow on 4-manifolds and Seiberg-Witten equations
• Vector bundles and $p$-adic Galois representations
• Geometry of nilpotent orbits: Results and conjectures
• Integrable connections and Galois representations
• Asymptotic Chow polystability in Kähler geometry
• Representations of metaplectic groups
• Notes on partial conjugation
• Geometric modular forms and the cohomology of torsion automorphic sheaves
• SYZ transformations for toric varieties
• Some variational problems in conformal geometry
• Geometry of tamed almost complex structures on 4-dimensional manifolds
• The arithmetic of noncongruence modular forms
• Analytic continuations of quantum cohomology
• Mathematical aspects of string duality
• The tame kernels of number fields
• Notes on MVW-extensions
• Vertex operator representations for a class of $BC_v$-graded Lie algebras
• Notes on orbifold Gromov-Witten theory
• Cohomologies and elliptic operators on symplectic manifolds
• Quasilocal mass from a mathematical perspective
• On dimension data, local vs global conjugacy
• Variational problems of Monge-Ampère type
• Wellposedness of the two and three dimensional full water wave problem
• Recent developments in differentiable sphere theorems
• New invariants for complex manifolds, singularities, and CR manifolds with applications
• Gross-Zagier formula and arithmetic fundamental lemma
• Integrality properties of mirror maps
• Ohsawa-Takegoshi $L^2$ extension theorem: Revisited

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