Proceedings of the International Congress of Mathematicians

1. Front Matter

   Pages i-xiii

   PDF

2. The Work of the Fields Medalists and the Rolf Nevanlinna Prize Winner

   1. Front Matter

      Pages 1-1

      PDF

   2. Fields Medalists

      1. The Work of Jean Bourgain

         • Luis Caffarelli

         Pages 3-5

         PDF

      2. The Work of Pierre-Louis Lions

         • S.R.S. Varadhan

         Pages 6-10

         PDF

      3. Prèsentation de Jean-Christophe Yoccoz

         • Adrien Douady

         Pages 11-16

         PDF

      4. On the Work of Efim Zelmanov

         • Walter Feit

         Pages 17-24

         PDF

   3. The Rolf Nevanlinna Prize Winner

      1. On some Works of Avi Wigderson

         • Yuri Matiyasevich

         Pages 25-28

         PDF

3. Invited One-Hour Addresses at the Plenary Sessions

   1. Front Matter

      Pages 29-29

      PDF

   2. Harmonic Analysis and Nonlinear Partial Differential Equations

      • Jean Bourgain

      Pages 31-44

      PDF

   3. Sphere Packings, Lattices, Codes, and Greed

      • John H. Conway

      Pages 45-56

      PDF

   4. Wavelets and Other Phase Space Localization Methods

      • Ingrid Daubechies

      Pages 57-74

      PDF

   5. The Fractional Quantum Hall Effect, Chern-Simons Theory, and Integral Lattices

      • J. Fröhlich, A.H. Chamseddine, F. Gabbiani, T. Kerler, C. Kling, P.A. Marchetti et al.

      Pages 75-105

      PDF

   6. Wave Propagation

      • Joseph B. Keller

      Pages 106-119

      PDF

   7. Homological Algebra of Mirror Symmetry

      • Maxim Kontsevich

      Pages 120-139

      PDF

   8. On Some Recent Methods for Nonlinear Partial Differential Equations

      • Pierre-Louis Lions

      Pages 140-156

      PDF

   9. Interactions Between Ergodic Theory, Lie Groups, and Number Theory

      • Marina Ratner

      Pages 157-182

      PDF

   10. Progress on the Four-Color Theorem

       • Paul Seymour

       Pages 183-195

       PDF

   11. Entropy Methods in Hydrodynamic Scaling

       • S.R.S. Varadhan

       Pages 196-208

       PDF

   12. Topology of Discriminants and Their Complements

       • Victor A. Vassiliev

       Pages 209-226

       PDF

   13. Free Probability Theory: Random Matrices and von Neumann Algebras

       • Dan Voiculescu

       Pages 227-242

       PDF

Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées)

• Algebra
• Applied Mathematics
• Counting
• Invariant
• Manifold
• Morphism
• Topology
• calculus
• equation
• function
• geometry
• mathematics
• proof
• theorem

• Département de Mathématiques, EPFL, Laussane, Switzerland

  S. D. Chatterji

Policies and ethics