## XVIth International Congress on Mathematical Physics: Prague, Czech Republic, 3-8 August 2009The International Congress on Mathematical Physics is the flagship conference in this exciting field. Convening every three years, it gives a survey on the progress achieved in all branches of mathematical physics. It also provides a superb platform to discuss challenges and new ideas. The present volume collects material from the XVIth ICMP which was held in Prague, August 2009, and features most of the plenary lectures and invited lectures in topical sessions as well as information on other parts of the congress program. This volume provides a broad coverage of the field of mathematical physics, from dominantly mathematical subjects to particle physics, condensed matter, and application of mathematical physics methods in various areas such as astrophysics and ecology, amongst others. |

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### Contents

Welcome addresses | 1 |

Henri Poincaré Prize | 5 |

IAMP Early Career Award and other prizes | 17 |

OTHER PRIZES AWARDED AT THE CONGRESS | 18 |

Part A Plenary Talks | 21 |

Part B Topical Sessions | 311 |

Part C Supplementary Programme | 663 |

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### Common terms and phrases

algebra amplitudes asymptotic black holes Bose-Einstein condensation bosonic bound boundary Brownian motion chiral classical Comm computation consider constant convergence correlation corresponding coupling critical Czech Republic decay defined deformation denote density derivation dimension dimensional distribution dynamics E-mail effective field theory eigenvalues electron energy entanglement entropy equation estimates exponents fermionic finite free probability function gauge theory Gaussian given Hamiltonian inequality initial data interaction invariant Ising model Lagrangian lattice Lett linear Lorentz Math measure Minkowski space nonlinear Nucl obtained operator parameter particles perturbation photons Phys potential problem proof properties prove quantization quantum field theory random matrices relation renormalization representation rigorous scalar scaling limit scattering Schrödinger Sobolev inequality solution space spacetime spectral statistical supergravity supersymmetric symmetry temperature tensor Theorem 2.1 variables vector vortices wave