## Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20–28, 2002. Vol. II: Invited lectures.(English)Zbl 0993.00022

Beijing: Higher Education Press. Singapore: World Scientific/distributor, iv, 823 p. (2002).
The articles of this volume will be reviewed individually. The preceding congress (1998) has been reviewed (see Zbl 0894.00010, Zbl 0894.00032, Zbl 0905.00044, Zbl 0894.00009, Zbl 0894.00033). For Vol. III see Zbl 0993.00024.
The electronic version of the articles will be published on the International Math ArXiv with the address http://front.math.ucdavis.edu/.
Indexed articles:
Bouscaren, E., Groups interpretable in theories of fields, 3-12 [Zbl 1052.03014]
Denef, J.; Loeser, F., Motivic integration and the Grothendieck group of pseudo-finite fields, 13-23 [Zbl 1101.14029]
Lascar, D., Automorphism groups of saturated structures; a review, 25-33 [Zbl 1003.03036]
Bigelow, S., Representations of braid groups, 37-45 [Zbl 1020.20024]
Bondal, A.; Orlov, D., Derived categories of coherent sheaves, 47-56 [Zbl 0996.18007]
Levine, M., Algebraic cobordism, 57-66 [Zbl 0997.19001]
Praeger, Cheryl E., Permutation groups and normal subgroups, 67-76 [Zbl 1007.20003]
Rost, Markus, Norm varieties and algebraic cobordism, 77-85 [Zbl 1042.19002]
Sela, Z., Diophantine geometry over groups and the elementary theory of free and hyperbolic groups., 87-92 [Zbl 1060.20022]
Stafford, J. T., Noncommutative projective geometry, 93-103 [Zbl 1057.14004]
Tamarkin, Dimitri, Deformations of chiral algebras, 105-116 [Zbl 1061.14021]
Cogdell, J. W.; Piatetski-Shapiro, I. I., Converse theorems, functoriality, and applications to number theory, 119-128 [Zbl 1146.11312]
Cohen, H., Constructing and counting number fields, 129-138 [Zbl 1042.11067]
Fontaine, Jean-Marc, $$p$$-adic analysis and Galois representations, 139-148 [Zbl 1146.11316]
Huber, A.; Kings, G., Equivariant Bloch-Kato conjecture and non-Abelian Iwasawa main conjecture, 149-162 [Zbl 1020.11067]
Kato, Kazuya, Tamagawa number conjecture for zeta values, 163-171 [Zbl 1146.11320]
Kudla, Stephen S., Derivatives of Eisenstein series and arithmetic geometry, 173-183 [Zbl 1051.11029]
Mazur, Barry; Rubin, Karl, Elliptic curves and class field theory, 185-195 [Zbl 1036.11023]
Ullmo, Emmanuel, Ergodic theory and arithmetic geometry, 197-206 [Zbl 1009.11046]
Wooley, Trevor D., Diophantine methods for exponential sums, and exponential sums for Diophantine problems, 207-217 [Zbl 1022.11051]
Andrews, B., Positively curved surfaces in the three-sphere, 221-230 [Zbl 1050.53055]
Bartnik, Robert, Mass and 3-metrics of non-negative scalar curvature, 231-240 [Zbl 1009.53055]
Biran, P., Geometry of symplectic intersections, 241-255 [Zbl 1021.53058]
Bray, Hubert L., Black holes and the Penrose inequality in general relativity, 257-271 [Zbl 1009.53050]
Chen, Xiuxiong, Recent progress in Kähler geometry, 273-282 [Zbl 1040.53083]
Ding, Weiyue, On the Schrödinger flows, 283-291 [Zbl 1013.58007]
Li, P., Differential geometry via harmonic functions, 293-302 [Zbl 1014.53021]
Long, Yiming, Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems, 303-313 [Zbl 1036.37020]
Petrunin, Anton, Some applications of collapsing with bounded curvature, 315-321 [Zbl 1009.53030]
Rong, Xiaochun, Collapsed Riemannian manifolds with bounded sectional curvature, 323-338 [Zbl 1013.53023]
Schwartz, Richard Evan, Complex hyperbolic triangle groups, 339-349 [Zbl 1022.53034]
Seidel, Paul, Fukaya categories and deformations, 351-360 [Zbl 1014.53052]
Zhang, Weiping, Heat kernels and the index theorems on even and odd dimensional manifolds, 361-369 [Zbl 1009.58014]
Bestvina, Mladen, The topology of $$\text{Out}(F_n)$$, 373-384 [Zbl 1060.57002]
Chekanov, Yu. V., Invariants of Legendrian knots, 385-394 [Zbl 0998.57046]
Furuta, M., Finite dimensional approximations in geometry, 395-403 [Zbl 1002.57063]
Giroux, Emmanuel, Contact geometry: From dimension three to higher dimensions, 405-414 [Zbl 1015.53049]
Hesselholt, Lars, Algebraic $$K$$-theory and trace invariants, 415-425 [Zbl 1011.19002]
Ionel, Eleny-Nicoleta, Symplectic sums and Gromov-Witten invariants, 427-436 [Zbl 1014.53053]
Teichner, Peter, Knots, von Neumann signatures, and grope cobordism, 437-446 [Zbl 1012.57007]
Tillmann, Ulrike, Strings and the stable cohomology of mapping class groups, 447-456 [Zbl 1017.57007]
Wang, Shicheng, Non-zero degree maps between 3-manifolds, 457-468 [Zbl 1009.57025]
Esnault, Hélène, Characteristic classes of flat bundles and determinant of the Gauss-Manin connection, 471-481 [Zbl 1055.14502]
Göttsche, L., Hilbert schemes of points on surfaces, 483-494 [Zbl 1055.14005]
Mukai, Shigeru, Vector bundles on a $$K3$$ surface, 495-502 [Zbl 1046.14016]
Pandharipande, R., Three questions in Gromov-Witten theory, 503-512 [Zbl 1047.14043]
Reid, Miles, Update on 3-folds, 513-524 [Zbl 1047.14025]
Schechtman, Vadim, On the vertex algebras attached to algebraic varieties, 525-532 [Zbl 1159.17318]
Totaro, B., Topology of singular algebraic varieties, 533-541 [Zbl 1057.14030]
Delorme, Patrick, Harmonic analysis on real reductive symmetric spaces, 545-554 [Zbl 1018.43009]
Etingof, Pavel, On the dynamical Yang-Baxter equation, 555-570 [Zbl 1026.17014]
Gaitsgory, D., Geometric Langlands correspondence for $$\text{GL}_n$$, 571-582 [Zbl 1061.11033]
Harris, Michael, On the local Langlands correspondence, 583-597 [Zbl 1151.11351]
Klyachko, Alexander, Vector bundles, linear representations, and spectral problems, 599-613 [Zbl 1062.14054]
Kobayashi, Toshiyuki, Branching problems of unitary representations, 615-627 [Zbl 1008.43009]
Mehta, Vikram Bhagvandas, Representations of algebraic groups and principal bundles on algebraic varieties, 629-635 [Zbl 1007.22020]
Meinrenken, E., Clifford algebras and the Duflo isomorphism, 637-642 [Zbl 1020.17007]
Nazarov, Maxim, Representations of Yangians associated with skew Young diagrams, 643-654 [Zbl 1013.17005]
Shahidi, Freydoon, Automorphic $$L$$-functions and functoriality, 655-666 [Zbl 1011.11033]
Vignéras, Marie-France, Modular representations of $$p$$-adic groups and of affine Hecke algebras, 667-677 [Zbl 1151.11325]
Eremenko, A., Value distribution and potential theory, 681-690 [Zbl 1106.30300]
Heinonen, Juha, The branch set of a quasiregular mapping, 691-700 [Zbl 1005.30019]
Kenig, Carlos E., Harmonic measure and “locally flat” domains, 701-709 [Zbl 0999.31002]
Lerner, Nicolas, Solving pseudo-differential equations, 711-720 [Zbl 1106.35337]
Thiele, C., Singular integrals meet modulation invariance, 721-732 [Zbl 0997.42005]
Zelditch, Steve, Asymptotics of polynomials and eigenfunctions, 733-742 [Zbl 1146.58300]
Zhou, Xiangyu, Some results related to group actions in several complex variables, 743-753 [Zbl 1004.32004]
Alesker, Semyon, Algebraic structures on valuations, their properties and applications, 757-764 [Zbl 1146.52300]
Biane, P., Free probability and combinatorics, 765-774 [Zbl 1003.46035]
Bisch, D., Subfactors and planar algebras, 775-785 [Zbl 1021.46044]
Ge, Liming, Free probability, free entropy and applications to von Neumann algebras, 787-794 [Zbl 1029.46104]
Lafforgue, V., Banach KK-theory and Baum-Connes conjecture, 795-812 [Zbl 0997.19003]
Latała, R., On some inequalities for Gaussian measures, 813-822 [Zbl 1015.60011]

### MSC:

 00B25 Proceedings of conferences of miscellaneous specific interest

### Keywords:

ICM ’2002; Congress; Proceedings; Beijing (China); Mathematicians