**AMS/IP Studies in Advanced Mathematics**

Volume: 42;
2008;
432 pp;
Softcover

MSC: Primary 05; 08; 11; 14; 22; 35; 37; 80;

**Print ISBN: 978-0-8218-4454-0
Product Code: AMSIP/42.1**

List Price: $115.00

AMS Member Price: $92.00

MAA Member Price: $103.50

**Electronic ISBN: 978-1-4704-3831-9
Product Code: AMSIP/42.1.E**

List Price: $108.00

AMS Member Price: $86.40

MAA Member Price: $97.20

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# Third International Congress of Chinese Mathematicians

Share this page *Edited by *
*Ka-Sing Lau; Zhou-Ping Xin; Shing-Tung Yau*

A co-publication of the AMS and International Press of Boston

This volume consists of the proceedings of the Third International Congress
of Chinese Mathematicians, held at the Chinese University of Hong Kong in
December 2004. The Congress brought together eminent Chinese and overseas
mathematicians to discuss the latest developments in pure and applied
mathematics.

This two-part proceedings contains the contents of lectures given
by the plenary speakers and the invited speakers—the major portion
comprising new results—together with some expository and survey
articles. Eleven major topics are treated: algebra, number theory and
cryptography; algebraic geometry and algebraic topology; geometric
analysis; complex analysis and complex geometry; harmonic analysis and
functional analysis; applied mathematics; dynamical systems, fractals
and wavelets; numerical analysis; PDE; probability, statistics, and
financial mathematics; and education.

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

#### Readership

Research mathematicians interested in all areas of advanced mathematics.

# Table of Contents

## Third International Congress of Chinese Mathematicians

- Cover Cover11
- Title page iii4
- Contents v6
- Preface xi12
- Welcome letters xiii14
- A Chinese essay in tribute to Professor Shiing-Shen Chern xvii18
- Committees of ICCM 2004 xix20
- Morningside lifetime achievement award in mathematics xxiii24
- Morningside medal of mathematics xxv26
- Morningside medal of mathematics–Selection committee xxvii28
- Morningisde award medalists xxix30
- Chern prize recipients li52
- ICCM international cooperation award recipient liii54
- Photographs lv56
- List of speakers lxvii68
- Shock waves and cosmology 172
- Variational construction of diffusion orbits in convex Hamiltonian systems with multiple degrees of freedom 1182
- Saddlepoint approximations and boundary crossing probabilities for random fields and their applications 29100
- Recognizing certain rational homogeneous manifolds of Picard number 1 from their varieties of minimal rational tangents 41112
- Discontinuous Galerkin methods for convection dominated partial differential equations 63134
- Singularity behavior of the mean curvature flow 75146
- Localization and duality 83154
- Surgical Ricci flow on four-manifolds with positive isotropic curvature 101172
- Special subvarieties of 𝒜_{ℊ} 111182
- Local monodromy of the Kloosterman sheaf at ∞ 125196
- Hilbert modular functions and their CM values 135206
- Geometric invariant theory and birational geometry 155226
- Remarks on Gieseker’s degeneration and its normalization 177248
- Bundle rigidity of complex surfaces 193264
- CR equivalence problem of strongly pseudoconvex CR manifolds 197268
- Vector bundles on non-primary Hopf manifolds with abelian fundamental group 209280
- Subelliptic PDE’s and subRiemannian geometry 223294
- The 𝑄-curvature flow on a closed 3-manifold of positive 𝑄-curvature 239310
- The space of symplectic structures on closed 4-manifolds 259330
- Ancient solutions to Kähler-Ricci flow 279350
- A convergence result of the Lagrangian mean curvature flow 291362
- On piecewise algebraic variety 297368
- An introduction to chiral equivariant cohomology 307378
- Large scale geometry, compactifications and the integral Novikov conjectures for arithmetic groups 317388
- Normal dilations 345416
- On the generator problem of von Neumann algebras 357428
- A survey of results on the ground state of semilinear elliptic equations 377448
- Separating and extending subgroups of a locally compact group 385456
- The triangle of operators, topologies, bornologies 395466
- The positive mass theorem near null infinity 423494
- Back Cover Back Cover1504