European Congress of Mathematics

1. Front Matter

   Pages i-viii

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2. Contributions

   1. Geometric Set Systems

      • Jiří MatouŠek

      Pages 1-27

   2. Recent Developments in Symplectic Topology

      • Dusa Mcduff

      Pages 28-42

   3. K-Theory and Algebraic Groups

      • A. S. Merkurjev

      Pages 43-72

   4. Surprising Geometric Phenomena in High-Dimensional Convexity Theory

      • V. Milman

      Pages 73-91

   5. Microstructures, Phase Transitions and Geometry

      • Stefan Müller

      Pages 92-115

   6. Different Types of Non Uniform Hyperbolicity for Interval Maps Are Equivalent

      • Tomasz Nowicki

      Pages 116-123

   7. Metastability and Typical Exit Paths in Stochastic Dynamics

      • E. Olivieri, E. Scoppola

      Pages 124-150

   8. Rationality Problems for Group Varieties

      • Vladimir P. Platonov

      Pages 151-158

   9. Precise Measurements in Symplectic Topology

      • Leonid Polterovich

      Pages 159-166

   10. Nonlinear Partial Differential Equations, Birkhoff Normal Forms, and KAM Theory

       • Jürgen Pöschel

       Pages 167-186

   11. Group Enumeration and Where It Leads Us

       • L. Pyber

       Pages 187-199

   12. Studying Dynamical Systems with Algebraic Tools

       • Nándor Simányi

       Pages 200-210

   13. Mathematical Results on the Structure of Large Atoms

       • J. P. Solovej

       Pages 211-220

   14. Geography of Irreducible 4-Manifolds

       • András Stipsicz

       Pages 221-233

   15. Transversals of d-intervals — Comparing three Approaches

       • Gábor Tardos

       Pages 234-243

   16. Algebras with Involution and Classical Groups

       • Jean-Pierre Tignol

       Pages 244-258

   17. Huygens’ Principle and Integrability

       • A. P. Veselov

       Pages 259-275

   18. Some Problems and Results on the Controllability of Partial Differential Equations

       • Enrique Zuazua

       Pages 276-311

3. Round Tables

   1. Front Matter

      Pages 313-313

      PDF

This is the second volume of the procedings of the second European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners. Together with volume II it contains a collection of contributions by the invited lecturers. Finally, volume II also presents reports on some of the Round Table discussions. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician. Contributors: Vol. I: N. Alon, L. Ambrosio, K. Astala, R. Benedetti, Ch. Bessenrodt, F. Bethuel, P. Bjørstad, E. Bolthausen, J. Bricmont, A. Kupiainen, D. Burago, L. Caporaso, U. Dierkes, I. Dynnikov, L.H. Eliasson, W.T. Gowers, H. Hedenmalm, A. Huber, J. Kaczorowski, J. Kollár, D.O. Kramkov, A.N. Shiryaev, C. Lescop, R. März. Vol. II: J. Matousek, D. McDuff, A.S. Merkurjev, V. Milman, St. Müller, T. Nowicki, E. Olivieri, E. Scoppola, V.P. Platonov, J. Pöschel, L. Polterovich , L. Pyber, N. Simányi, J.P. Solovej, A. Stipsicz, G. Tardos, J.-P. Tignol, A.P. Veselov, E. Zuazua.

• Manifold
• Topology
• algebra
• equation
• geometry
• mathematics

• Hungarian Academy of Sciences, Mathematical Institute, Budapest, Hungary

  A. Balog, G. O. H. Katona, D. Sza’sz

• Mathematical Institute, Technical University of Budapest, Budapest, Hungary

  A. Recski

Policies and ethics