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.

Readership

Graduate students and research mathematicians interested in mathematical physics.

Table of 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