Highlights of Mathematical Physics

This volume presents state-of-the-art research in mathematical physics addressed to a broad spectrum of readers, including graduate students, researchers, and others interested in this topic. Contributors to the volume participated in the 13th International Congress on Mathematical Physics held at Imperial College (London, UK).
The contributions include, in particular, pedagogical lectures presented at the Young Researchers Symposium (YRS) held in association with the Congress, as well as public lectures given at the Congress, and the contributions from the winners of the Henri Poincaré prize.

Contents

• A. Ashtekar
  The Second Black Body Problem: Interface of General Relativity, Quantum Theory and Statistical Mechanics

• M. Atiyah
  On the Unreasonable Effectiveness of Physics in Mathematics

• L. J. Biven
  Weak-Wave Turbulence: A Tragic Super-Hero of Turbulence Theory

• A. Connes
  Noncommutative Geometry Year 2000

• A. Ekert
  Quantum Computation

• L. Faddeev
  Advent of the Yang-Mills Field

• G. Jona-Lasinio
  Cross Fertilization in Theoretical Physics: The Case of Condensed Matter and Particle Physics

• J. P. Keating
  Random Matrices and the Riemann Zeta-Function

• V. V. Kisil
  Meeting Descartes and Klein Somewhere in a Noncommutative Space

• R. Kotecky
  Phase Transitions: On a Crossroads of Probability and Analysis

• S. A. Levin
  Exploring the Complex Adaptive Nature of Ecosystems

• H. A. Posch and W. Thirring
  The Classical Three-Body Problem - Where is Abstract Mathematics, Physical Intuition, Computational Physics most Powerful?

• D. Ruelle
  Irreversibility Revisited

• G. Hooft
  A Confrontation with Infinity

• H.-T. Yau
  Quantum Dynamics of Many-Body Systems