This volume gathers lecture notes taken at the 2004 Summer School, which was held at the Institut Fourier (Grenoble). The title of the Summer School ("Negative or zero-curvature geometries, discrete groups and rigidities") has been used for the present volume. In many cases the lecture notes have been rewritten and enhanced.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in negative or zero-curvature geometries, discrete groups and rigidities.

Table of Contents

• J. Maubon -- Symmetric spaces of the non-compact type: Differential geometry
• P.-É. Paradan -- Symmetric spaces of the non-compact type: Lie groups
• G. Rousseau -- Euclidean buildings
• Y. Benoist -- Five lectures on lattices in semisimple Lie groups

• G. Besson -- Calabi-Weil infinitesimal rigidity
• M. Bourdon -- Quasi-conformal geometry and Mostow rigidity
• L. Bessières -- Minimal volume
• M. Burger and A. Iozzi -- A useful formula from bounded cohomology

• G. Courtois -- Critical exponents and rigidity in negative curvature
• C. Druţu -- Quasi-isometry rigidity of groups
• P. Pansu -- Superrigidité géométrique et applications harmoniques

• F. Paulin -- Sur la compactification de Thurston de l'espace de Teichmüller
• A. Beauville -- Moduli of cubic surfaces and Hodge theory