Based on joint work by R. Keith Dennis (Ithaca) and Ulf Rehmann (Bielefeld).
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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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| 2006 | Madrid | |||
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| Congress: | International Congress of Mathematicians Madrid 2006 | |||
| Title: | Proceedings of the International Congress of Mathematicians, August 22-30, 2006, Madrid | |||
| Volume: | Vol II: Invited Lectures | Info | djvu:22.2 M | pdf:12.1 M |
| Contents | (In case of several authors, invited speakers are marked with an asterisk.) | v-x | djvu:51 K | pdf:141 K |
| 1 | Logic and foundations | |||
| Rod Downey | Algorithmic randomness and computability | 1-26 | djvu:341 K | pdf:1.1 M |
| Itay Neeman | Determinacy and large cardinals | 27-44 | djvu:225 K | pdf:720 K |
| Michael Rathjen | The art of ordinal analysis | 45-70 | djvu:300 K | pdf:1.1 M |
| Thomas Scanlon | Analytic difference rings | 71-92 | djvu:289 K | pdf:985 K |
| Simon Thomas | Borel superrigidity and the classification problem for the torsion-free abelian groups of finite rank | 93-116 | djvu:299 K | pdf:1.0 M |
| 2 | Algebra | |||
| William Crawley-Boevey | Quiver algebras, weighted projective lines, and the Deligne–Simpson problem | 117-130 | djvu:169 K | pdf:519 K |
| Marcus du Sautoy* and Fritz Grunewald* | Zeta functions of groups and rings | 131-150 | djvu:234 K | pdf:799 K |
| Bernhard Keller | On differential graded categories | 151-190 | djvu:490 K | pdf:1.8 M |
| Raphaël Rouquier | Derived equivalences and finite dimensional algebras | 191-222 | djvu:395 K | pdf:1.4 M |
| Mark Sapir | Algorithmic and asymptotic properties of groups | 223-244 | djvu:275 K | pdf:893 K |
| Ákos Seress | A unified approach to computations with permutation and matrix groups | 245-258 | djvu:178 K | pdf:484 K |
| Agata Smoktunowicz | Some results in noncommutative ring theory | 259-270 | djvu:131 K | pdf:341 K |
| 3 | Number theory | |||
| Manjul Bhargava | Higher composition laws and applications | 271-294 | djvu:303 K | pdf:1.0 M |
| Ching-Li Chai | Hecke orbits as Shimura varieties in positive characteristic | 295-312 | djvu:244 K | pdf:821 K |
| Henri Darmon | Heegner points, Stark–Heegner points, and values of L-series | 313-346 | djvu:418 K | pdf:1.5 M |
| Kazuhiro Fujiwara | Galois deformations and arithmetic geometry of Shimura varieties | 347-372 | djvu:343 K | pdf:1.1 M |
| Ben Green | Generalising the Hardy–Littlewood method for primes | 373-400 | djvu:328 K | pdf:1.2 M |
| Gérard Laumon | Aspects géométriques du Lemme Fondamental de Langlands-Shelstad | 401-420 | djvu:236 K | pdf:869 K |
| Philippe Michel* and Akshay Venkatesh | Equidistribution, L-functions and ergodic theory: on some problems of Yu. Linnik | 421-458 | djvu:504 K | pdf:1.9 M |
| Wiesława Nizioł | p-adic motivic cohomology in arithmetic | 459-472 | djvu:178 K | pdf:525 K |
| Christopher Skinner* and Eric Urban* | Vanishing of L-functions and ranks of Selmer groups | 473-500 | djvu:388 K | pdf:1.4 M |
| Vinayak Vatsal | Special values of L-functions modulo p | 501-514 | djvu:180 K | pdf:598 K |
| 4 | Algebraic and complex geometry | |||
| Valery Alexeev | Higher-dimensional analogues of stable curves | 515-536 | djvu:287 K | pdf:983 K |
| Jean-Benoît Bost | Evaluation maps, slopes, and algebraicity criteria | 537-562 | djvu:354 K | pdf:1.2 M |
| Tom Bridgeland | Derived categories of coherent sheaves | 563-582 | djvu:238 K | pdf:876 K |
| Lawrence Ein* and Mircea Mustata | Invariants of singularities of pairs | 583-602 | djvu:257 K | pdf:901 K |
| Tom Graber | Rational curves and rational points | 603-612 | djvu:103 K | pdf:298 K |
| Jun-Muk Hwang | Rigidity of rational homogeneous spaces | 613-626 | djvu:170 K | pdf:486 K |
| Tomohide Terasoma | Geometry of multiple zeta values | 627-636 | djvu:110 K | pdf:357 K |
| Yuri Tschinkel | Geometry over nonclosed fields | 637-652 | djvu:178 K | pdf:576 K |
| Jarosław Włodarczyk | Algebraic Morse theory and the weak factorization theorem | 653-682 | djvu:407 K | pdf:1.5 M |
| 5 | Geometry | |||
| Christoph Böhm and Burkhard Wilking* | Manifolds with positive curvature operators are space forms | 683-690 | djvu:98 K | pdf:290 K |
| Simon Brendle | Elliptic and parabolic problems in conformal geometry | 691-704 | djvu:168 K | pdf:490 K |
| Ko Honda | The topology and geometry of contact structures in dimension three | 705-718 | djvu:170 K | pdf:480 K |
| Michael Kapovich | Generalized triangle inequalities and their applications | 719-742 | djvu:285 K | pdf:1.0 M |
| Bruce Kleiner | The asymptotic geometry of negatively curved spaces: uniformization, geometrization and rigidity | 743-768 | djvu:311 K | pdf:1.1 M |
| François Lalonde | Lagrangian submanifolds: from the local model to the cluster complex | 769-790 | djvu:266 K | pdf:900 K |
| Xiaobo Liu | Gromov–Witten invariants and moduli spaces of curves | 791-812 | djvu:257 K | pdf:868 K |
| Toshiki Mabuchi | Extremal metrics and stabilities on polarized manifolds | 813-826 | djvu:180 K | pdf:604 K |
| Grigory Mikhalkin | Tropical geometry and its applications | 827-852 | djvu:323 K | pdf:1.1 M |
| William P. Minicozzi II | Embedded minimal surfaces | 853-878 | djvu:302 K | pdf:962 K |
| Yong-Geun Oh* and Kenji Fukaya | Floer homology in symplectic geometry and in mirror symmetry | 879-906 | djvu:350 K | pdf:1.3 M |
| Antonio Ros | Properly embedded minimal surfaces with finite topology | 907-926 | djvu:382 K | pdf:815 K |
| Chuu-Lian Terng | Applications of loop group factorization to geometric soliton equations | 927-950 | djvu:311 K | pdf:1.1 M |
| 6 | Topology | |||
| Ian Agol | Finiteness of arithmetic Kleinian reflection groups | 951-960 | djvu:131 K | pdf:429 K |
| Martin R. Bridson | Non-positive curvature and complexity for finitely presented groups | 961-988 | djvu:382 K | pdf:1.2 M |
| Mikhail Khovanov | Link homology and categorification | 989-1000 | djvu:130 K | pdf:399 K |
| Yair N. Minsky | Curve complexes, surfaces and 3-manifolds | 1001-1034 | djvu:422 K | pdf:1.4 M |
| Fabien Morel | A1 -algebraic topology | 1035-1060 | djvu:335 K | pdf:1.2 M |
| Kaoru Ono | Development in symplectic Floer theory | 1061-1082 | djvu:278 K | pdf:949 K |
| Peter Ozsváth* and Zoltán Szabó* | Heegaard diagrams and Floer homology | 1083-1100 | djvu:225 K | pdf:678 K |
| Karen Vogtmann | The cohomology of automorphism groups of free groups | 1101-1118 | djvu:252 K | pdf:708 K |
| 7 | Lie groups and Lie algebras | |||
| Roman Bezrukavnikov | Noncommutative counterparts of the Springer resolution | 1119-1144 | djvu:365 K | pdf:1.3 M |
| Alexander Braverman | Spaces of quasi-maps into the flag varieties and their applications | 1145-1170 | djvu:357 K | pdf:1.2 M |
| Guy Henniart | On the local Langlands and Jacquet–Langlands correspondences | 1171-1182 | djvu:160 K | pdf:500 K |
| Nicolas Monod | An invitation to bounded cohomology | 1183-1212 | djvu:372 K | pdf:1.2 M |
| Bao-Châu Ngô | Fibration de Hitchin et structure endoscopique de la formule des traces | 1213-1226 | djvu:157 K | pdf:512 K |
| Eric M. Opdam | Hecke algebras and harmonic analysis | 1227-1260 | djvu:455 K | pdf:1.7 M |
| Peter Schneider | Continuous representation theory of p-adic Lie groups | 1261-1282 | djvu:265 K | pdf:983 K |
| Yehuda Shalom | The algebraization of Kazhdan’s property (T) | 1283-1310 | djvu:386 K | pdf:1.2 M |
| David Soudry | Rankin–Selberg integrals, the descent method, and Langlands functoriality | 1311-1326 | djvu:199 K | pdf:635 K |
| Birgit Speh | Representation theory and the cohomology of arithmetic groups | 1327-1336 | djvu:106 K | pdf:358 K |
| Tonny A. Springer | Some results on compactifications of semisimple groups | 1337-1348 | djvu:146 K | pdf:482 K |
| 8 | Analysis | |||
| Mario Bonk | Quasiconformal geometry of fractals | 1349-1374 | djvu:315 K | pdf:1.1 M |
| Steve Hofmann | Local T b theorems and applications in PDE | 1375-1392 | djvu:211 K | pdf:748 K |
| Sergey V. Konyagin | Almost everywhere convergence and divergence of Fourier series | 1393-1404 | djvu:125 K | pdf:413 K |
| Linda Preiss Rothschild | Iterated Segre mappings of real submanifolds in complex space and applications | 1405-1420 | djvu:194 K | pdf:554 K |
| Stanislav Smirnov | Towards conformal invariance of 2D lattice models | 1421-1452 | djvu:530 K | pdf:1.5 M |
| Emil J. Straube | Aspects of the L2 -Sobolev theory of the \bar ∂-Neumann problem | 1453-1478 | djvu:334 K | pdf:1.0 M |
| Vladimir N. Temlyakov | Greedy approximations with regard to bases | 1479-1504 | djvu:304 K | pdf:1.0 M |
| Xavier Tolsa | Analytic capacity, rectifiability, and the Cauchy integral | 1505-1528 | djvu:283 K | pdf:1.0 M |
| 9 | Operator algebras and functional analysis | |||
| Franck Barthe | The Brunn–Minkowski theorem and related geometric and: functional inequalities | 1529-1546 | djvu:224 K | pdf:728 K |
| Bo’az Klartag | Isomorphic and almost-isometric problems in high-dimensional: convex geometry | 1547-1562 | djvu:203 K | pdf:622 K |
| Narutaka Ozawa | Amenable actions and applications | 1563-1580 | djvu:228 K | pdf:799 K |
| Mikael Rørdam | Structure and classification of C∗ -algebras | 1581-1598 | djvu:234 K | pdf:812 K |
| Stanislaw J. Szarek | Convexity, complexity, and high dimensions | 1599-1622 | djvu:308 K | pdf:943 K |
| Guoliang Yu | Higher index theory of elliptic operators and geometry of groups | 1623-1640 | djvu:208 K | pdf:644 K |
| 10 | Ordinary differential equations and dynamical systems | |||
| Oleg N. Ageev | On spectral invariants in modern ergodic theory | 1641-1654 | djvu:166 K | pdf:510 K |
| Vitaly Bergelson | Ergodic Ramsey theory: a dynamical approach to static theorems | 1655-1678 | djvu:342 K | pdf:1.1 M |
| Nikolai Chernov and Dmitry Dolgopyat* | Hyperbolic billiards and statistical physics | 1679-1704 | djvu:326 K | pdf:1.1 M |
| Rafael de la Llave | Some recent progress in geometric methods in the instability problem in Hamiltonian mechanics | 1705-1730 | djvu:332 K | pdf:952 K |
| Manfred Einsiedler and Elon Lindenstrauss* | Diagonalizable flows on locally homogeneous spaces and number theory | 1731-1760 | djvu:388 K | pdf:1.3 M |
| Author index | 1761-1762 | djvu:12 K | pdf:22 K | |