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International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing

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1.Finite Dimensional Approximations in Geometry

机译：几何中的有限维近似
- 作者：M. Furuta
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- seiberg-witten;
- 4-manifold;
- finite dimensional approximation;
2.Free Probability and Combinatorics

机译：自由概率与组合
- 作者：P. Biane
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- free probability;
- symmetric group;
- noncrossing partitions;
3.Tamagawa Number Conjecture for zeta Values

机译：玉川数猜想的zeta值
- 作者：Kazuya Kato
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- zeta function;
- etale cohomology;
- birch swinnerton- dyer conjecture;
4.Three Questions in Gromov-Witten Theory

机译：Gromov-Witten理论中的三个问题
- 作者：R. Pandharipande
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- gromov-witten theoryp;
- moduli of curves;
5.Topology of Singular Algebraic Varieties

机译：奇异代数形式的拓扑
- 作者：B. Totaro
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- intersection homology;
- weight filtration;
- elliptic genus;
6.Diophantine Geometry over Groups and the Elementary Theory of Free and Hyperbolic Groups

机译：群上的丢番图几何与自由和双曲群的基本理论
- 作者：Z. Selat
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
7.Vector Bundles on a K3 Surface

机译：K3曲面上的矢量束
- 作者：Shigeru Mukai
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
8.Vector Bundles, Linear Representations, and Spectral Problems

机译：向量束，线性表示和光谱问题
- 作者：Alexander Klyachko
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- bundles;
- linear representations;
- spectral problems;
9.Value Distribution and Potential Theory

机译：价值分配与潜力理论
- 作者：A. Eremenko
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- holomorphic curves;
- quasiregular maps;
- mero- morphic functions;
10.Hilbert Schemes of Points on Surfaces

机译：曲面上的希尔伯特方案
- 作者：L. Goettsche
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- hilbert scheme;
- moduli spaces;
- vertex algebras;
- orbifolds;
11.Fukaya Categories and Deformations

机译：深谷的种类和变形
- 作者：Paul Seidel
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
12.Geometry of Symplectic Intersections

机译：辛交点的几何
- 作者：P. Biran
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- symplectic;
- lagrangian;
- algebraic variety;
13.The Branch Set of a Quasiregular Mapping

机译：拟规则映射的分支集
- 作者：Juha Heinonen
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- quasiregulax map;
- bi-lipschitz map;
- branch set;
14.Some Results Related to Group Actions in Several Complex Variables

机译：与一些复杂变量中的组动作有关的一些结果
- 作者：Xiangyu Zhou
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- domain of holomorphy;
- plurisubharmonic function;
- group actions;
15.Solving Pseudo-Differential Equations

机译：求解伪微分方程
- 作者：Nicolas Lerner
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- solvability;
- pseudo-differential equation;
- condition (ψ);
16.Permutation Groups and Normal Subgroups

机译：排列组和正态子组
- 作者：Cheryl E. Praeger
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- automorphism group;
- simple group;
- primitive permutation group;
- quasiprimitive permutation group;
- arc-transitive graph;
17.Representations of Algebraic Groups and Principal Bundles on Algebraic Varieties

机译：代数族的代数群和主束的表示
- 作者：Vikram Bhagvandas Mehta
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- semistable bundles;
- low-height representations;
18.Recent Progress in Kahler Geometry

机译：Kahler几何学的最新进展
- 作者：Xiuxiong Chen
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- extremal kaehler metrics;
- kaehler-einstein metrics;
- holomorphic vector field;
- holomorphic invariant;
- kaehler ricci flow;
19.On the Schroedinger Flows

机译：关于薛定inger流
- 作者：Weiyue Ding
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- schrodinger equation;
- hamiltonnian flow;
- kaehler manifold;
20.Singular Integrals Meet Modulation Invariance

机译：奇异积分满足调制不变性
- 作者：C. Thiele
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- fourier analysis;
- singular integrals;
- multilinear;
21.Positively Curved Surfaces in the Three-sphere

机译：三球中的正曲面
- 作者：B. Andrews
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- surfaces;
- curvature;
- parabolic equations;
22.Automorphic L-Functions and Functoriality

机译：自守L函数和功能
- 作者：Freydoon Shahidi
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- automorphic L-function;
- functoriality;
23.Characteristic Classes of Flat Bundles and Determinant of the Gauss-Manin Connection

机译：平面束的特征类和高斯-曼宁连接的行列式
- 作者：Helene Esnault
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
24.Diophantine Methods for Exponential Sums, and Exponential Sums for Diophantine Problems

机译：指数求和的Diophantine方法以及Diophantine问题的指数和
- 作者：Trevor D. Wooley
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- the hardy-littlewood method;
- exponential sums;
- waring's problem;
- equations in many variables;
- rational points;
- representation problems;
25.Complex Hyperbolic Triangle Groups

机译：复双曲三角群
- 作者：Richard Evan Schwartz
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- complex hyperbolic space;
- discrete groups;
- triangle groups;
- deformations;
26.Deformations of Chiral Algebras

机译：手性代数的变形
- 作者：Dimitri Tamarkin
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
27.Converse Theorems, Functoriality, and Applications to Number Theory

机译：逆定理，功能性和数论应用
- 作者：J. W. Cogdell;I. I. Piatetski-Shapiro
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- automorphic forms;
- L-functions;
- converse theorems;
- functoriality;
28.Derived Categories of Coherent Sheaves

机译：相干滑轮的派生类别
- 作者：A. Bondal;D. Orlov
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- derived categories;
- coherent sheaves;
- fully faithful functors;
- noncommutative geometry;
29.Norm Varieties and Algebraic Cobordism

机译：规范变种和代数坐标
- 作者：Markus Rost
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
30.Modular Representations of p-adic Groups and of Affine Hecke Algebras

机译：p-adic群和仿射Hecke代数的模块表示
- 作者：Marie-France Vigneras
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- modular representation;
- reductive p-adic group;
- affine hecke algebra;
31.Mass and 3-metrics of Non-negative Scalar Curvature

机译：非负标量曲率的质量和3度量
- 作者：Robert Bartnik
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- quasi-local mass;
- einstein equations;
- scalar curvature;
32.Invariants of Legendrian Knots

机译：传奇结的不变量
- 作者：Yu. V. Chekanov
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- legendrian submanifold;
- legendrian knot;
33.Non-zero Degree Maps between 3-Manifolds

机译：3-流形之间的非零度映射
- 作者：Shicheng Wang
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
34.Heat Kernels and the Index Theorems on Even and Odd Dimensional Manifolds

机译：热核和偶数奇数流形上的指数定理
- 作者：Weiping Zhang
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- index theorems;
- heat kernels;
- eta-invariants;
- toeplitz operators;
35.Equivariant Bloch-Kato Conjecture and Non-abelian Iwasawa Main Conjecture

机译：等变Bloch-Kato猜想和非阿贝尔岩化泽主要猜想
- 作者：A. Huber;G. Kings
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- iwasawa theory;
- L-function;
- motive;
36.Harmonic Measure and 'Locally Flat' Domains

机译：谐波测量和“局部平坦”域
- 作者：Carlos E. Kenig
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- harmonic measure;
- locally flat domains;
- vanishing mean oscillation;
37.Harmonic Analysis on Real Reductive Symmetric Spaces

机译：实归约对称空间的调和分析
- 作者：Patrick Delorme
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
38.Groups Interpretable in Theories of Fields

机译：场论中可解释的群体
- 作者：E. Bouscaren
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- groups;
- fields;
- definability;
- algebraic groups;
39.Subfactors and Planar Algebras

机译：子因子和平面代数
- 作者：D. Bisch
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- von neumann algebras;
- subfactors;
- planar algebras;
40.Sur les Algebres Vertex Attachees aux Varietes Algebriques

机译：附属于代数形式的顶点代数
- 作者：Vadim Schechtman
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- vertex algebras;
- characteristic classes;
41.The Topology of Out(F_n)

机译：Out（F_n）的拓扑
- 作者：MIaden Bestvina
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- free group;
- train tracks;
- outer space;
42.Algebraic Cobordism

机译：代数合作主义
- 作者：M. Levine
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- cobordism;
- chow ring;
- K-theory;
43.Algebraic K-theory and Trace Invariants

机译：代数K理论和迹不变量
- 作者：Lars Hesselholt
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
44.Algebraic Structures on Valuations, Their Properties and Applications

机译：估值的代数结构，性质和应用
- 作者：Semyon Alesker
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- valuations;
- convex sets;
- kinematic formulas;
- reductive lie group;
45.Update on 3-folds

机译：3折更新
- 作者：Miles Reid
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- mori theory;
- minimal model program;
- classification of varieties;
- fano 3-folds;
- birational geometry;
46.Clifford Algebras and the Duflo Isomorphism

机译：克利福德代数与Duflo同构
- 作者：E. Meinrenken
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- clifford algebras;
- quadratic lie algebras;
- duflo map;
- equivariant cohomology;
47.Symplectic Sums and Gromov-Witten Invariants

机译：辛和与Gromov-Witten不变量
- 作者：Eleny-Nicoleta Ionel
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
48.Free Probability, Free Entropy and Applications to von Neumann Algebras

机译：自由概率，自由熵及其在冯·诺依曼代数上的应用
- 作者：Liming Ge
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
49.Geometric Langlands Correspondence for GL

机译：GL的几何朗兰兹对应
- 作者：D. Gaitsgory
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
50.Geometrie de Contact: de la Dimension Trois vers les Dimensions Superieures

机译：接触几何：从三维到更高维度
- 作者：Emmanuel Giroux
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- structures de contact;
- livres ouverts;
51.Some Applications of Collapsing with Bounded Curvature

机译：有界曲率塌陷的一些应用
- 作者：Anton Petrunin
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
52.Theorie Ergodique et Geometrie Arithmetique

机译：遍历理论和算术几何
- 作者：Emmanuel Ullmo
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- equidistribution;
- varietes abeliennes;
- varietes de shimura;
53.Strings and the Stable Cohomology of Mapping Class Groups

机译：字符串和映射类组的稳定同调
- 作者：Ulrike Tillmann
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- elliptic cohomology;
- cohomology of moduli spaces;
- infinite loop spaces;
- cobordism theory;
54.Representations of Braid Groups

机译：编织组的表示
- 作者：S. Bigelow
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- braid groups;
- configuration spaces;
- homological representations;
- blanchfield pairing;
55.Representations of Yangians Associated with Skew Young Diagrams

机译：与偏斜年轻图相关的洋基人表示
- 作者：Maxim Nazarov
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- branching rules;
- brauer algebra;
- classical groups;
- intertwining operators;
- reflection equation;
- yangians;
- young symmetrizers;
56.On Some Inequalities for Gaussian Measures

机译：关于高斯测度的一些不等式
- 作者：R. Latala
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- gaussian measure;
- isoperimetry;
- ehrhard's inequality;
- convex bodies;
- correlation;
57.On the Local Langlands Correspondence

机译：论当地的兰兰兹书信
- 作者：Michael Harris
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
58.Automorphism Groups of Saturated Structures; A Review

机译：饱和结构的自同构群；回顾
- 作者：D. Lascar
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- automorphism groups;
- small index property;
- strong automorphisms;
59.Banach KK-theory and the Baum-Connes Conjecture

机译：Banach KK理论和Baum-Connes猜想
- 作者：V. Lafforgue
- 会议名称：《》 | 2002年
- kasparov's KK-theory;
- baum-connes conjecture;
- discrete series;
60.Asymptotics of Polynomials and Eigenfunctions

机译：多项式和特征函数的渐近性
- 作者：S. Zelditch
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
61.Analyse p-adique et Representations Galoisiennes

机译：P-adic分析和Galois表示
- 作者：Jean-Marc Fontaine
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
62.Black Holes and the Penrose Inequality in General Relativity

机译：黑洞与广义相对论的彭罗斯不等式
- 作者：Hubert L. Bray
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- black holes;
- penrose inequality;
- positive mass theorem;
- quasi-local mass;
- general relativity;
63.Branching Problems of Unitary Representations

机译：Unit代表制的分支问题
- 作者：Toshiyuki Kobayashi
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- unitary representation;
- branching law;
- reductive lie group;
64.Collapsed Riemannian Manifolds with Bounded Sectional Curvature

机译：倒塌的黎曼流形具有有限的截面曲率
- 作者：Xiaochun Rong
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
65.Constructing and Counting Number Fields

机译：构造和计算数字字段
- 作者：H. Cohen
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- discriminants;
- number field tables;
- kummer the- ory;
66.Differential Geometry via Harmonic Functions

机译：通过谐波函数实现微分几何
- 作者：P. Li
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- harmonic function;
- ricci curvature;
- minimal hypersur- face;
- parabolic manifold;
67.Knots, von Neumann Signatures and Grope Cobordism

机译：结，冯·诺依曼的签名和苦涩的共产主义
- 作者：Peter Teichner
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- knot;
- signature;
- von neumann algebra;
- concordance;
- kontsevich integral;
- grope;
68.Elliptic Curves and Class Field Theory

机译：椭圆曲线和类场理论
- 作者：Barry Mazur;Karl Rubin
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- elliptic curves;
- iwasawa theory;
- heegner points;
69.Derivatives of Eisenstein Series and Arithmetic Geometry

机译：爱森斯坦级数和算术几何的导数
- 作者：Stephen S. Kudla
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- heights;
- derivatives of eisenstein series;
- modular forms;
70.Motivic Integration and the Grothendieck Group of Pseudo-Finite Fields

机译：动力有限元与伪有限域的Grothendieck群
- 作者：J. Denef;F. Loeser
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- motivic integration;
- p-adic integration;
- quantifier elimination;
71.Index Iteration Theory for Symplectic Paths with Applications to Nonlinear Hamiltonian Systems

机译：辛路径的索引迭代理论及其在非线性哈密顿系统中的应用
- 作者：Yiming Long
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
- iteration theory;
- index;
- symplectic path;
- hamiltonian system;
- periodic orbit;
72.On the Dynamical Yang-Baxter Equation

机译：关于动态杨-巴克斯特方程
- 作者：Pavel Etingof
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年
73.Noncommutative Projective Geometry

机译：非可交换射影几何
- 作者：J. T. Stafford
- 会议名称：《International Congress of Mathematicians Vol.2: Invited Lectures Aug 20-28, 2002 Beijing》 | 2002年