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First International Congress of Chinese Mathematicians
 
Edited by: Lo Yang Chinese Academy of Sciences, Beijing, China
S.-T. Yau Harvard University, Cambridge, MA
A co-publication of the AMS and International Press of Boston
First International Congress of Chinese Mathematicians
Softcover ISBN:  978-0-8218-2652-2
Product Code:  AMSIP/20
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-3802-9
Product Code:  AMSIP/20.E
List Price: $126.00
MAA Member Price: $113.40
AMS Member Price: $100.80
Softcover ISBN:  978-0-8218-2652-2
eBook: ISBN:  978-1-4704-3802-9
Product Code:  AMSIP/20.B
List Price: $261.00 $198.00
MAA Member Price: $234.90 $178.20
AMS Member Price: $208.80 $158.40
First International Congress of Chinese Mathematicians
Click above image for expanded view
First International Congress of Chinese Mathematicians
Edited by: Lo Yang Chinese Academy of Sciences, Beijing, China
S.-T. Yau Harvard University, Cambridge, MA
A co-publication of the AMS and International Press of Boston
Softcover ISBN:  978-0-8218-2652-2
Product Code:  AMSIP/20
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-3802-9
Product Code:  AMSIP/20.E
List Price: $126.00
MAA Member Price: $113.40
AMS Member Price: $100.80
Softcover ISBN:  978-0-8218-2652-2
eBook ISBN:  978-1-4704-3802-9
Product Code:  AMSIP/20.B
List Price: $261.00 $198.00
MAA Member Price: $234.90 $178.20
AMS Member Price: $208.80 $158.40
  • Book Details
     
     
    AMS/IP Studies in Advanced Mathematics
    Volume: 202001; 518 pp
    MSC: Primary 05; 08; 11; 14; 22; 35; 37; 80;

    The International Congress of Mathematicians was an historical event that was held at the Morningside Center of Mathematics of the Chinese Academy of Sciences (Beijing). It was the first occasion where Chinese mathematicians from all over the world gathered to present their research.

    The Morningside Mathematics lectures were given by R. Borcherds, J. Coates, R. Graham, and D. Stroock. Other distinguished speakers included J.-P. Bourguignon, J. Jöst, M. Taylor, and S. L. Lee. Topics covered in the volume include algebra and representation theory, algebraic geometry, number theory and automorphic forms, Riemannian geometry and geometric analysis, mathematical physics, topology, complex analysis and complex geometry, computational mathematics, and combinatorics.

    Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

    Readership

    Graduate students and research mathematicians.

  • Table of Contents
     
     
    • Morningside lectures
    • Problems in moonshine
    • The Ornstein-Uhlenbeck process on a Riemannian manifold
    • Plenary addresses
    • Stochastic PDEs in turbulence theory
    • Recent developments of realization of surfaces in $R^3$
    • Numerical study of interfacial problems with small surface tension
    • Selected topics in moduli spaces
    • A tour of mirror symmetry
    • The scalar curvature equation on $S^n$
    • Symplectic isotopy in four dimension
    • Stability in Hamiltonian dynamical systems
    • On the behavior of solutions to the compressible Navier-Stokes equations
    • Scaling limit of particle systems, incompressible Navier-Stokes equation and Boltzmann equation
    • Geometry of algebraic points
    • Invited addresses
    • Jordan structures in Banach manifolds
    • The rationality problem of finite group actions
    • Hecke algebras and representation ring of Hopf algebras
    • On the Euler numbers of threefolds
    • Vector bundles, the $S$-duality conjecture of Vafa and Witten, and vertex algebras
    • Cayley-Bacharach property and $k$-very ampleness
    • Sharp polynomial upper estimate of number of positive integral points in tetrahedron and coordinate free characterization of homogeneous polynomials
    • Spectral theory and geometry of locally symmetric spaces
    • On the first eigenvalue of Laplacian for locally symmetric manifolds
    • DGBV algebras and mirror symmetry
    • Harmonic maps on noncompact manifolds
    • Curvature, bounded cohomology and path integrals
    • Vanishing theorems for loop spaces
    • Symplectic forms, 2+1 soliton equations, and supersymmetric gauge theories
    • Quotients, invariant version of Cartan’s lemma, and the minimum principle
    • an elementary exposé on equisingularities
    • A proof of the strong Kervaire invariant in dimension 62
    • Melvin-Morton conjecture: A survey
    • The Seiberg-Witten equations and the Milnor torsion
    • The Bergman kernel function of some Reinhardt domains
    • On some problems in several complex variables and CR geometry
    • A KAM theory for resonant tori and a generalization of Poincaré-Birkhoff fixed point theorem
    • Persistence of $C^k$ normally hyperbolic invariant manifolds for infinite dimensional dynamical systems
    • Fine analysis of blow up and applications
    • Varifold type theory for Sobolev mappings
    • Cellular neural networks: Pattern and waves
    • Long time behavior of curves evolving by curvature
    • Discontinuous solutions to nonlinear evolutionary partial differential equations
    • Well-posedness theory for hyperbolic conservation laws
    • Two-dimensional Riemann problems for conservation laws in gas dynamics
    • Boundedness of cascade algorithms in Besov spaces
    • Circulant preconditioners for ill-conditioned Hermitian Toeplitz matrices
    • What is computational geometry
    • A survey on circular chromatic numbers of graphs
    • Approximations for color-covering problems
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 202001; 518 pp
MSC: Primary 05; 08; 11; 14; 22; 35; 37; 80;

The International Congress of Mathematicians was an historical event that was held at the Morningside Center of Mathematics of the Chinese Academy of Sciences (Beijing). It was the first occasion where Chinese mathematicians from all over the world gathered to present their research.

The Morningside Mathematics lectures were given by R. Borcherds, J. Coates, R. Graham, and D. Stroock. Other distinguished speakers included J.-P. Bourguignon, J. Jöst, M. Taylor, and S. L. Lee. Topics covered in the volume include algebra and representation theory, algebraic geometry, number theory and automorphic forms, Riemannian geometry and geometric analysis, mathematical physics, topology, complex analysis and complex geometry, computational mathematics, and combinatorics.

Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

Readership

Graduate students and research mathematicians.

  • Morningside lectures
  • Problems in moonshine
  • The Ornstein-Uhlenbeck process on a Riemannian manifold
  • Plenary addresses
  • Stochastic PDEs in turbulence theory
  • Recent developments of realization of surfaces in $R^3$
  • Numerical study of interfacial problems with small surface tension
  • Selected topics in moduli spaces
  • A tour of mirror symmetry
  • The scalar curvature equation on $S^n$
  • Symplectic isotopy in four dimension
  • Stability in Hamiltonian dynamical systems
  • On the behavior of solutions to the compressible Navier-Stokes equations
  • Scaling limit of particle systems, incompressible Navier-Stokes equation and Boltzmann equation
  • Geometry of algebraic points
  • Invited addresses
  • Jordan structures in Banach manifolds
  • The rationality problem of finite group actions
  • Hecke algebras and representation ring of Hopf algebras
  • On the Euler numbers of threefolds
  • Vector bundles, the $S$-duality conjecture of Vafa and Witten, and vertex algebras
  • Cayley-Bacharach property and $k$-very ampleness
  • Sharp polynomial upper estimate of number of positive integral points in tetrahedron and coordinate free characterization of homogeneous polynomials
  • Spectral theory and geometry of locally symmetric spaces
  • On the first eigenvalue of Laplacian for locally symmetric manifolds
  • DGBV algebras and mirror symmetry
  • Harmonic maps on noncompact manifolds
  • Curvature, bounded cohomology and path integrals
  • Vanishing theorems for loop spaces
  • Symplectic forms, 2+1 soliton equations, and supersymmetric gauge theories
  • Quotients, invariant version of Cartan’s lemma, and the minimum principle
  • an elementary exposé on equisingularities
  • A proof of the strong Kervaire invariant in dimension 62
  • Melvin-Morton conjecture: A survey
  • The Seiberg-Witten equations and the Milnor torsion
  • The Bergman kernel function of some Reinhardt domains
  • On some problems in several complex variables and CR geometry
  • A KAM theory for resonant tori and a generalization of Poincaré-Birkhoff fixed point theorem
  • Persistence of $C^k$ normally hyperbolic invariant manifolds for infinite dimensional dynamical systems
  • Fine analysis of blow up and applications
  • Varifold type theory for Sobolev mappings
  • Cellular neural networks: Pattern and waves
  • Long time behavior of curves evolving by curvature
  • Discontinuous solutions to nonlinear evolutionary partial differential equations
  • Well-posedness theory for hyperbolic conservation laws
  • Two-dimensional Riemann problems for conservation laws in gas dynamics
  • Boundedness of cascade algorithms in Besov spaces
  • Circulant preconditioners for ill-conditioned Hermitian Toeplitz matrices
  • What is computational geometry
  • A survey on circular chromatic numbers of graphs
  • Approximations for color-covering problems
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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