International Mathematical Union (IMU) | ||||
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ICM Proceedings 1893-2010 Based on joint work by R. Keith Dennis (Ithaca) and Ulf Rehmann (Bielefeld). |
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1986 | Berkeley | |||
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Congress: | International Congress of Mathematicians 1986 | |||
Title: | Proceedings of the International Congress of Mathematicians, August 3-11, 1986 | |||
Volume: | I | Info | djvu:51.8 M | pdf:98.4 M |
CONTENTS | ||||
Past Congresses | vii-viii | djvu:32 K | pdf:74 K | |
Past Fields Medalists and Nevanlinna Prize Winners | ix-x | djvu:96 K | pdf:201 K | |
Organization of the Congress | xi-xii | djvu:146 K | pdf:294 K | |
The Congress and its Committee Structure | xiii-xvi | djvu:302 K | pdf:603 K | |
List of Donors | xvii-xx | djvu:95 K | pdf:193 K | |
Opening Ceremonies | xxi-xxxiv | djvu:873 K | pdf:1.7 M | |
Closing Ceremonies | xxxv-xlii | djvu:637 K | pdf:1.2 M | |
Scientific Program | xliii-lxxvi | djvu:1.8 M | pdf:3.3 M | |
Congress Participants | lxxvii-c | djvu:1.7 M | pdf:3.3 M | |
Membership by Country | ci-cciv | djvu:85 K | pdf:166 K | |
The Work of the Fields Medalists | 1-2 | djvu:56 K | pdf:99 K | |
Michael Atiyah | On the Work of Simon Donaldson | 3-6 | djvu:231 K | pdf:467 K |
B. Mazur | On Some of the Mathematical Contributions of Gerd Faltings | 7-12 | djvu:347 K | pdf:679 K |
John Milnor | The Work of M. H. Freedman | 13-15 | djvu:184 K | pdf:355 K |
The Work of the Nevanlinna Prize Winner | ||||
V. Strassen | The Work of Leslie G. Vailiant | 16-22 | djvu:371 K | pdf:754 K |
Invited Addresses at the Plenary Sessions: | 23-24 | djvu:3 K | pdf:18 K | |
DE ВRANGES, L. | Underlying concepts in the proof of the Bieberbach conjecture. | 25-42 | djvu:915 K | pdf:1.8 M |
DONALDSON, S. K. | The geometry of 4-manifolds. | 43-54 | djvu:712 K | pdf:1.4 M |
FALTINGS, G. | Neure Entwicklungen in der arithmetischen algebraischen Geometrie. | 55-61 | djvu:421 K | pdf:848 K |
FRÖHLICH, JÜRG | (Paper not read at the Congress. No manuscript received.) Analytical approaches to quantum field theory and statistical mechanics. | |||
GEHRING, F. W. | Topics in quasiconformal mappings. | 62-80 | djvu:1.1 M | pdf:1.9 M |
GROMOV, M. | Soft and hard symplectic geometry. | 81-98 | djvu:1.1 M | pdf:2.0 M |
LENSTRA, H. W. | Elliptic curves and number-theoretic algorithms. | 99-120 | djvu:1.3 M | pdf:2.5 M |
SCHOEN, R. | Recent progress in geometric partial differential equations. | 121-130 | djvu:591 K | pdf:1.2 M |
SCHÖNHAGE, A. | Equation solving in terms of computational complexity. | 131-153 | djvu:1.4 M | pdf:2.8 M |
SHELAH, S. | Taxonomy of universal and other classes. | 154-162 | djvu:516 K | pdf:1.0 M |
СКОРОХОД, А. В. | Случайные процессы в бесконечномерных пространствах. (Random processes in infinite dimensional spaces.). | 163-171 | djvu:417 K | pdf:796 K |
SMALE, S. | Algorithms for solving equations. | 172-195 | djvu:1.0 M | pdf:1.9 M |
STEIN, E. M. | Problems in harmonic analysis related to curvature and oscillatory integrals. | 196-221 | djvu:1.4 M | pdf:2.6 M |
SUSLIN, A. A. | (Paper read by E. Friedlander) Algebraic K-theory of fields. | 222-244 | djvu:1.2 M | pdf:2.2 M |
VOGAN, D. A. | Representations of reductive Lie groups. | 245-266 | djvu:1.1 M | pdf:2.2 M |
WITTEN, E. | Physics and geometry. | 267-306 | djvu:2.0 M | pdf:3.9 M |
Invited Addresses at the Section Meetings: Sections 1-8 (Volume 1) | ||||
01 | Mathematical Logic and Foundations. | |||
KECHRIS, A. S. | The complexity of antidifferentiation, Denjoy totalization, and hyperarithmetic reals. | 307-313 | djvu:371 K | pdf:721 K |
LACHLAN, A. H. | Homogeneous structures. | 314-321 | djvu:397 K | pdf:782 K |
MAGIDOR, M. | Large cardinals and small sets: A survey. (No manuscript received.). | |||
ПЕРЕТЯТЬКИН, M. Г. | Конечно аксиоматизируемые теории. (Finitely axiomatizable theories.) | 322-330 | djvu:462 K | pdf:909 K |
WILKIE, A. J. | On schemes axiomatizing arithmetic. | 331-337 | djvu:379 K | pdf:716 K |
WOODIN, W. H. | The two faces of infinity. (No manuscript received.) | |||
There were 18 Short Communications in this section. | ||||
02 | Algebra. | |||
AUSLANDER, M. | The what, where, and why of almost split sequences. | 338-345 | djvu:458 K | pdf:890 K |
БЕЛЫЙ, Г. В. | О коммутанте абсолютной группы галуа. (On the commutator of the absolute Galois group.). | 346-349 | djvu:163 K | pdf:315 K |
BORHO, W. | Nilpotent orbits, primitive ideals, and characteristic classes (A survey). | 350-359 | djvu:554 K | pdf:1.0 M |
BROUÉ, M. | Théorie locale des blocs d'un groupe fini. | 360-368 | djvu:509 K | pdf:966 K |
DE CONCINI, С. | Equivariant embeddings of homogeneous spaces. | 369-377 | djvu:515 K | pdf:999 K |
GABRIEL, P. | Darstellungen endlichdimensionaler Algebren. | 378-388 | djvu:612 K | pdf:1.1 M |
MERKURJEV, A. S. | Milnor K-theory and Galois cohomology. | 389-393 | djvu:208 K | pdf:388 K |
POPOV, V. L. | (Paper read by С. Procesi) Modern developments in invariant theory. | 394-406 | djvu:778 K | pdf:1.5 M |
WILSON, R. L. | Simple Lie algebras over fields of prime characteristic. | 407-416 | djvu:550 K | pdf:1.0 M |
There were 72 Short Communications in this section. | ||||
03 | Number Theory. | |||
GOLDFELD, D. | Kloosterman zeta functions for GL(n, Z). | 417-424 | djvu:343 K | pdf:624 K |
GROSS, В. H. | Heights and L-series. | 425-433 | djvu:395 K | pdf:750 K |
HIDA, H. | On p-adic Hecke algebras for GL_{2}. | 434-443 | djvu:554 K | pdf:1.0 M |
IWANIEC, H. | Spectral theory of automorphic functions and recent developments in analytic number theory. | 444-456 | djvu:744 K | pdf:1.4 M |
KOCH, H. V. | Unimodular lattices and self-dual codes. | 457-465 | djvu:454 K | pdf:846 K |
ODLYZKO, A. M. | New analytic algorithms in number theory. | 466-475 | djvu:516 K | pdf:984 K |
WÜSTHOLZ, G. | Algebraic groups, Hodge theory, and transcendence. | 476-483 | djvu:386 K | pdf:741 K |
There were 39 Short Communications in this section. | ||||
04 | Geometry. | |||
BALLMANN, W. | Manifolds of nonpositive sectional curvature and manifolds without conjugate points. :. | 484-490 | djvu:395 K | pdf:767 K |
BISMUT, J. - M. | Index theorem and the heat equation. | 491-504 | djvu:685 K | pdf:1.2 M |
BRYANT, R. L. | A survey of Riemannian metrics with special holonomy groups. | 505-514 | djvu:585 K | pdf:1.1 M |
CHEEGER, J. | On the formulas of Atiyah-Patodi-Singer and Witten. | 515-521 | djvu:330 K | pdf:615 K |
COLIN De VERDIÈRE, Y. | Spectres de variétés riemanniennes et spectres de graphes. | 522-530 | djvu:460 K | pdf:881 K |
ELIASHBERG, YA. M. | (Paper read by J. Mather) Combinatorial methods in symplectic geometry. | 531-539 | djvu:331 K | pdf:612 K |
HARDT, R, M. | Singularities in some geometric variational problems. | 540-550 | djvu:648 K | pdf:1.2 M |
MEEKS, W. H. | Recent progress on the geometry of surfaces in R3 and on the use of computer graphics as a research tool. | 551-560 | djvu:565 K | pdf:1.1 M |
RUH, E. A. | Almost Lie groups. | 561-564 | djvu:240 K | pdf:466 K |
WENTE, H. С. | Immersed tori of constant mean curvature in R3. | 565-573 | djvu:363 K | pdf:670 K |
There were 45 Short Communications in this section. 05: Topology. | ||||
CARLSSON, G. | Segal's Burnside ring conjecture and related problems in topology. :. | 574-579 | djvu:320 K | pdf:629 K |
CASSON, A. J. | A survey of recent developments in three-dimensional topology. (No manuscript received.). | |||
MILLER, H. | The Sullivan conjecture and homotopical representation theory. | 580-589 | djvu:480 K | pdf:898 K |
MORGAN, J. W. | Trees and hyperbolic geometry. | 590-597 | djvu:446 K | pdf:850 K |
QUINN, F. | Applications of topology with control. | 598-606 | djvu:482 K | pdf:936 K |
SHALEN, P. В. | Representations of 3-manifold groups and applications in topology. | 607-614 | djvu:504 K | pdf:990 K |
TOM DIECK, T. | Geometric representation theory of compact Lie groups. | 615-622 | djvu:449 K | pdf:827 K |
There were 54 Short Communications in this section. | ||||
06 | Algebraic Geometry. | |||
ARBARELLO, E. | Periods of Abelian integrals, theta functions, and differential equations of KdV type. | 623-627 | djvu:245 K | pdf:450 K |
BEAUVILLE, A. | L'approche géométrique du problème de Schottky. | 628-633 | djvu:288 K | pdf:538 K |
CLEMENS, H. | Curves on higher-dimensional complex projective manifolds. | 634-640 | djvu:296 K | pdf:580 K |
СOLLIOT- THÉLÈNE, J. - L. | Arithmétique des variétés rationnelles et problèmes birationnels. | 641-653 | djvu:811 K | pdf:1.5 M |
NIKULIN, V. V. | (Paper read by I. Dolgachev) Discrete reflection groups in Lobachevsky spaces and algebraic surfaces. | 654-671 | djvu:1.0 M | pdf:1.9 M |
SHOKUROV, V. V. | (Paper read by E. Viehweg) Numerical geometry of algebraic varieties. | 672-681 | djvu:561 K | pdf:1.0 M |
VIEHWEG, E. | Vanishing theorems and positivity in algebraic fibre spaces. | 682-698 | djvu:883 K | pdf:1.6 M |
ZAGIER, D. | L-series and the Green's functions of modular curves. 689 :There were 15 Short Communcations in this section. | |||
07 | Complex Analysis | |||
ALEKSANDROV, А. В. | Inner functions: Results, methods, problems. | 699-707 | djvu:466 K | pdf:852 K |
С ATLIN, D. | Regularity of solutions of the 9-Neumann problem. | 708-714 | djvu:307 K | pdf:573 K |
CHANG, S.-Y. A. | Extremal functions in a sharp form of Sobolev inequality. | 715-723 | djvu:449 K | pdf:830 K |
DOUADY, A. | Chirurgie sur les applications holomorphes. | 724-738 | djvu:844 K | pdf:1.6 M |
ГОНЧАР, А. А. | Рациональные аппроксимации аналитических функции. (Rational approximation of analytic functions.) | 739-748 | djvu:488 K | pdf:902 K |
Kruzhilin, N. G. | Description of the local automorphism groups of real hypersurfaces. | 749-758 | djvu:568 K | pdf:1.1 M |
LEMPERT, L. | Complex geometry in convex domains. | 759-765 | djvu:363 K | pdf:712 K |
MAKAROV, N. G. | Metric properties of harmonic measure. | 766-776 | djvu:602 K | pdf:1.1 M |
WOLPERT, S. A. | The geometry of deformations of a Riemann surface. | 777-782 | djvu:334 K | pdf:649 K |
There were 44 Short Communications in this section. | ||||
08 | Lie Groups and Representations. | |||
BOROVOI, M. V. | (Paper not read at the Congress.) Conjugation of Shimura varieties. | 783-790 | djvu:424 K | pdf:819 K |
CLOZEL, L. | Base change for GL(n). | 791-797 | djvu:386 K | pdf:737 K |
Drinfel'd, V. G. | (Paper read by P. Cartier.) Quantum groups. | 798-820 | djvu:1.3 M | pdf:2.5 M |
FRENKEL, I. В. | Beyond affine Lie algebras. | 821-839 | djvu:1.2 M | pdf:2.2 M |
GINZBURG, V. | (Paper read by D. Vogan.) Geometrical aspects of representation theory. | 840-848 | djvu:487 K | pdf:940 K |
КAZHDAN, D. | Algebraic geometry and representation theory. | 849-852 | djvu:201 K | pdf:399 K |
KUTZKO, P. С. | On the supercuspidal representations of GL_{N} and other p-adic groups. | 853-861 | djvu:498 K | pdf:951 K |
MIWA, T. | Integrable lattice models and branching coefficients. | 862-870 | djvu:406 K | pdf:779 K |
There were 16 Short Communcations in this section. |